Big Ideas Math Answers Grade 4 Chapter 1 Place Value Concepts: The Big Ideas is the best guide in mathematics for the students who are pursuing 4th standard. You can enhance your math skills with the help of Big Ideas Math Book 4th Grade Answer Key Chapter 1 Place Value Concepts. We have prepared the solutions for all the questions in an easy and simple manner. So, we suggest you download the Big Ideas Math Answers Grade 4 Chapter 1 Place Value Concepts pdf. So that you can prepare in an offline mode.
Big Ideas Math Book 4th Grade Answer Key Chapter 1 Place Value Concepts
The topics covered in Chapter 1 Place Value Concepts are Understand Place Value, Read and Write Multi-Digit Numbers, Compare Multi-Digit Numbers, etc. So go through the topics and practice the problems. Conceptional understanding is very important in mathematics. Keeping that in mind we have provided the BIM Grade 4 Answer Key Chapter 1 Place Value Concepts with step by step explanation for all the questions.
Lesson 1: Understand Place Value
Lesson 2: Read and Write Multi-Digit Numbers
- Lesson 1.2 Read and Write Multi-Digit Numbers
- Read and Write Multi-Digit Numbers Homework & Practice 1.2
Lesson 3: Compare Multi-Digit Numbers
Lesson 4: Round Multi-Digit Numbers
Performance Task
- Place Value Concepts Performance Task
- Place Value Concepts Activity
- Place Value Concepts Chapter Practice
Lesson 1.1 Understand Place Value
Explore and Grow
Model the number. Draw to show your model. Then write the value of each digit.
Explanation: Every Digit in a number has a place value according to the position of a Digit. We define the place value of a digit by considering the Rightmost digit’s position as “1’s place.” After 1’s place, 10’s place, 100’s place, and so on.
Answer (i):
As per the Explanation,
The Position Value of ‘1’ is: 1000
The position value of ‘2’ is: 200
The position value of ‘7’ is: 70
The position value of ‘5’ is: 5
Answer (ii): As per Explanation,
The position value of ‘3’ is: 3000
The position value of ‘3’ is: 300
The position value of ‘3’ is: 30
The position value of ‘3’ is: 3
Repeated Reasoning
Compare the value of the tens digit to the value of the ones digit. Then do the same with the hundreds and tens digits, and the thousands and hundred’s digits. What do you notice?
Answer: When we compare the ten’s digit to the value of one’s digit, we can notice that we got the 10’s digit by multiplying ’10’ to the 1’s digit. For comparison of 100’s and 1000’s digit also, we will get 100’s digit is “10 Times” of the 1000’s digit.
Think and Grow: Understand Place Value
A place value chart shows the value of each digit in a number.
The value of each place is 10 times the value of the place to the right.
The place value chart shows how the place values are grouped.
Each group is called a period. In a number, periods are separated by commas.
Example
• The number, in standard form, is _______.
Answer: 2,75,449
Explanation: The Position of each digit is defined in a number according to place value and we can count “place-value” up to “lakhs ” starting from “1’s place” from the Rightmost position and count from thereon.
• The value of the digit 7 is 7 ten thousand or ______.
Answer: 70,000
Explanation: The Position of each digit is defined in a number according to place value and we can count “place-value” up to “lakhs ” starting from “1’s place” from the Rightmost position and count from thereon.
• The value of the digit 4 in the hundreds place is ______.
Answer: 400
Explanation: The Position of each digit is defined in a number according to place value and we can count “place-value” up to “lakhs ” starting from “1’s place” from the Rightmost position and count from thereon.
• The value of the digit 4 in the tens place is ______.
Answer: 40
Explanation: The Position of each digit is defined in a number according to place value and we can count “place-value” up to “lakhs ” starting from “1’s place” from the Rightmost position and count from thereon.
• The value of the digit 4 in the hundreds place is ______ times the value of the digit 4 in the tens place.
Answer: 10 Times
Explanation: We know the value of ‘4’ in 100’s place: 400
We know the value of ‘4’ in 10’s place: 40
So, we can get ‘400’ when we multiply ’40’ with its place value ’10’.
Show and Grow
Write the value of the underlined digit.
Question 1.
93,517
Answer: The place value of ‘5’ in ‘93,517’ is: 500
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘5’ in ‘93,517’ is: 500
Question 2.
685,726
Answer: The place value of ‘8’ in ‘6,85,26’ is : 80,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘8’ in ‘6,85,26’ is : 80,000
Question 3.
359,842
Answer: The place value of ‘9’ in ‘359,842’ is: 9000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘9’ in ‘359,842’ is: 9000
Question 4.
483,701
Answer: The place value of ‘4’ in ‘483,701’ is : 400,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘4’ in ‘483,701’ is : 400,000
Compare the values of the underlined digits.
Question 5.
20 and 200
Answer: The value of ‘2’ in ‘200’ is 10 times the value of ‘2’ in ’20’.
Explanation: The position value of 2 in 200: 200
The position value of 2 in 20: 20
As we notice, the value of 2 in 20 is “10 Times” of the value of 2 in 200.
Question 6.
1,000 and 100
Answer: The value of ‘1’ in ‘100’ is 10 times the value of ‘1’ in ‘1000’.
Explanation: The position value of 1 in 1000: 1000
The position value of 1 in 100: 100
As we notice, the value of 1 in 100 is “10 Times” of the value of 1 in 1000.
Apply and Grow: Practice
Write the value of the underlined digit.
Question 7.
45,802
Answer: The place value of ‘2’ in ‘45,802’ is : 2
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘2’ in ‘45,802’ is : 2
Question 8.
97,361
Answer: The place value of ‘7’ in ‘97,361’ is : 7000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘7’ in ‘97,361’ is: 7000
Question 9.
168,392
Answer: The place value of ‘9’ in ‘168,392’ is: 90
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘9’ in ‘168,392’ is: 90
Question 10.
807,516
Answer: The place value of ‘8’ in ‘807,516’ is : 800,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘8’ in ‘807,516’ is : 800,000
Question 11.
400,532
Answer: The place value of ‘5’ in ‘400,532’ is : 500
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘5’ in ‘400,532’ is: 500
Question 12.
749,263
Answer: The place value of ‘4’ in ‘749,263’ is : 40,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘4’ in ‘749,263’ is : 40,000
Question 13.
619,457
Answer: The place value of ‘6’ in ‘619,457’ is : 600,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘6’ in ‘619,457’ is : 600,000
Question 14.
301,882
Answer: The place value of ‘1’ in ‘301,882’ is : 1,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘1’ in ‘301,882’ is : 1,000
Compare the values of the underlined digits.
Question 15.
4 and 47
Answer: The value of 4 in 47 is 10 times the value of 4 in 4.
Explanation: The position value of 4 in 47 is: 40
The position value of 4 in 4: 4
As we notice, the value of 4 in 47 is “10 Times” of the value of 4 in 4.
Question 16.
35,649 and 23,799
Answer: The value of 3 in 35,649 is 10 times the value of 3 in 23,799.
Explanation: The position value of 3 in 35,649 is: 30,000
The position value of 3 in 23,799: 3,000
As we notice, the value of 3 in 35,649 is 10 times the value of 3 in 23,799.
Question 17.
Your friend is 9 years old. Your neighbor is 90 years old. Your neighbor is how many times as old as your friend?
Answer: Given that your friend is 9 years old and your neighbor is 90 years old. From these two, we can conclude that the neighbor is 10 times the age of your friend.
Question 18.
YOU BE THE TEACHER
Is Newton correct? Explain.
Answer:
Question 19.
Writing
Explain the relationship between the place values when the same two digits are next to each other in a multi-digit number.
Answer: We know that the place value of a Digit is dependent on the Position of the Digit in a given number. Hence, even those are the same numbers or different numbers placed next to each other, the preceding digit is 10 times the value of the former number.
Think and Grow: Modeling Real Life
Example
What is the value of the digit 3 in the distance around Saturn? in the distance around Jupiter? How do these values relate to each other?
Write each number in a place value chart.
Compare the values of the digit 3 in each number.
Answer: The value of ‘3’ in Jupiter: 30,000
The value of ‘3’ in Saturn: 300,000
So, we can say that the value of ‘3’ in Saturn is 10 times the value of 3 in Saturn.
Saturn: The value of the digit 3 is ______.
Answer: 300,000
Explanation: As we can see, the value of 3 in Saturn is: 300,000
Jupiter: The value of the digit 3 is ______.
Answer: 30,000
Explanation: As we can see, the value of 3 in Jupiter is: 30,000
The value of the digit 3 in the distance around Saturn is ______ times the value of the digit 3 in the distance around Jupiter.
Answer: 10 times
Explanation: The value of ‘3’ in Jupiter: 30,000
The value of ‘3’ in Saturn: 300,000
So, we can say that the value of ‘3’ in Saturn is 10 times the value of 3 in Saturn.
Show and Grow
Use the table above.
Question 20.
The distance around which planet has an 8 in the thousands place?
Answer: Venus
Explanation: From the Table above, we see that the distance around Venus has ‘8’ in 1000’s place.
Question 21.
Compare the value of the 8s in the distance around Saturn.
Answer: The value of 1st 8 in Saturn: 800
The value of 2nd 8 in Saturn: 80
Explanation: From the above values, we can say that the value of 1st 8 is 10 times the value of 2nd 8 in Saturn.
Question 22.
What is the value of the digit 4 in the distance around Earth? in the distance around Neptune? How do these values relate to each other?
Answer: The value of 4 on Earth is 10 times the value of 4 in Neptune.
Explanation: The value of 4 on Earth is: 40,000
The value of 4 in Neptune is: 4,000
By comparing these two values, we can conclude that the value of 4 on Earth is 10 times the value of 4 in Neptune.
Question 23.
Compare the values of the first digits in the distances around Earth and Jupiter. Explain how you can use the values to compare the sizes of these two planets.
Answer:
The value of the 1st digit in Jupiter is 10 times the value of the 1st digit on Earth.
Explanation:
The value of 4 on Earth is: 40,000
The value of 4 in Jupiter is: 400,000
From these 2 values, we can conclude that the value of the 1st digit in Jupiter is 10 times the value of the 1st digit on Earth.
Understand Place Value Homework & Practice 1.1
Write the value of the underlined digit.
Question 1.
79,043
Answer: The place value of 4 in 79,043 is: 40
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 4 in 79,043 is: 40
Question 2.
52,618
Answer: The place value of 8 in 52,618 is: 8
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 8 in 52,618 is: 8
Question 3.
379,021
Answer: The place value of 9 in 379,021 is: 9000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 9 in 379,021 is: 9000
Question 4.
958,641
Answer: The place value of 6 in 958,641 is: 600
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 6 in 958,641 is: 600
Question 5.
203,557
Answer: The place value of 2 in 203,557 is: 200,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 2 in 203,557 is: 200,000
Question 6.
145,860
Answer: The place value of 5 in 145,860 is: 5,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 5 in 145,860 is: 5,000
Question 7.
497,384
Answer: The place value of 3 in 497,384 is: 300
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 3 in 497,384 is: 300
Question 8.
612,739
Answer: The place value of 1 in 612,739 is: 10,000
Explanation: The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of 1 in 612,739 is: 10,000
Compare the values of the underlined digits.
Question 9.
603 and 6,425
Answer: The value of 6 in 6,425 is 10 times the value of 6 in 603
Explanation: The value of 6 in 603 is: 600
The value of 6 in 6,425 is: 6,000
From these values, we can conclude that the value of 6 in 6,425 is 10 times the value of 6 in 603
Question 10.
930,157 and 89,216
Answer: The value of 9 in 930,157 is 100 times the value of 9 in 89,216
Explanation: The value of 9 in 930,157 is: 900,000
The value of 9 in 89,216 is: 9,000
From these values, we can conclude that the value of 9 in 930,157 is 100 times the value of 9 in 89,216.
Question 11.
A car can travel 50 miles per hour. A tsunami can travel 500 miles per hour. The tsunami is how many times faster than the car?
Answer: The Tsunami is 10 times faster than the car.
Explanation: Given that,
A car can travel 50 miles per hour
A tsunami can travel 500 miles per hour.
From these 2 values, we can conclude that the tsunami is 10 times faster than the car.
Question 12.
Number Sense
In the number 93,825, is the value in the ten thousand’s place 10 times the value in the thousands place? Explain.
Answer: Yes, the value in the ten thousand’s place is 10 times the value in the thousands place.
Explanation: The given number is 93,825.
But, we know how big is the number, the value in the ten thousand’s place is always 10 times the value in the thousands place.
Question 13.
Reasoning
Write the greatest number possible using each number card once. Then write the least six-digit number possible.
Answer: The Greatest 6-digit number is: 986531
The least 6-digit number is: 135689
Explanation: Given digits are : 6 , 1 , 3 , 8 , 9 , 5
By using each digit only once,
The Greatest 6-digit number is: 986531
The least 6-digit number is: 135689
Question 14.
Modeling Real Life
Use the table.
Question 14.
The height of which mountain has a 3 in the thousands place?
Answer: Mount Kinabalu
Explanation: From the given table, we can conclude that Mount Kinabalu has ‘3’ in the thousands place.
Question 15.
What is the value of the digit 5 in the height ht of K2? in the height of Mount Everest? How do these values relate to each other?
Answer: The value of the 5 in the height of K2 is: 50
The value of the 5 in the height of Mount. Everest is: 5
Hence,
The value of 5 in K2 is 10 times the value of 5 in Mount. Everest
Explanation: From the given table, we can conclude that
The value of the 5 in the height of K2 is: 50
The value of the 5 in the height of Mount. Everest is: 5
Hence,
The value of 5 in K2 is 10 times the value of 5 in Mount. Everest
Question 16.
The tallest mountain in the world is shown in the table. Which mountain is it?
Answer: Mount. Everest
Explanation: From the given table, the Tallest Mountain in the World is: Mount. Everest
Review & Refresh
Question 17.
Use the graph to answer the questions.
How many seconds did the Peach Street traffic light stay red?
How many more seconds did the Valley Road traffic light stays red than the Elm Street traffic light?
Answer: The time which the Peach Street traffic light stays red is: 55 seconds
The time which the Valley road traffic light stays red than the Elm Street traffic light is: 15 seconds
Explanation: Let us consider, Half circle= 5 seconds
From the given graph,
The time which the Peach Street traffic light stays red is: 55 seconds
The time which the valley road traffic light stays red is: 35 seconds
The time which the Elm Street traffic light stays red is: 20 seconds
So,
The time which the Valley road traffic light stays red than the Elm Street traffic light is 15 seconds.
Lesson 1.2 Read and Write Multi-Digit Numbers
Explore and Grow
Model each number. Draw to show your models. Then write each number a different way.
2,186
Answer: Word Form: Two Thousand, One hundred eighty-six
Expanded Form: 2,000 + 100 + 80 + 6
Explanation: We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the Given number is 2,186 which is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Five thousand, two hundred thirteen
Answer:
Standard Form: 5,213
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the Given number is 5,213 which is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Expanded Form:
Answer: 5,000 + 200 + 10 + 3
Explanation: We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the Given number is Five thousand, two hundred thirteen which is in word Form. So, we have to write the given number in the remaining 2 forms.
3,000 + 600 + 90 + 4
Answer: Standard Form: 3,694
Explanation: Now, the Given number is 3,000 + 600 + 90 + 4 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
Word Form:
Answer: Three thousand, Six hundred ninety- four
Explanation: We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the Given number is 3,000 + 600 + 90 + 4 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
Structure
Model a different four-digit number. Write the number in many different ways as possible. Compare your work to your partner’s.
Answer: Consider a 4- digit number ” 9,836″
So, we can write “9,836” in:
Standard Form: 9,836
Word Form: Nine thousand, Eight hundred thirty-six
Expanded Form: 9,000 + 800 + 30 + 6
Explanation: We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 9,836 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Think and Grow: Read and Write Multi-Digit Numbers
Example
Write the number in standard form, word form, and expanded form.
Standard form:
Answer: 427, 561
Explanation: We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 427,561 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Word form:
Answer: Four hundred Twenty-seven thousand, five hundred sixty-one
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 427,561 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Expanded form: _____ + _______ + ______ + ______ + ______ + ______
Answer: 400,000 + 20,000 + 7,000 + 500 + 60 + 1
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 427,561 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Example
Use the place value chart to write the number below in standard form and expanded form.
Standard form:
Word form: fifty-four thousand, two
Expanded form: ____ + ______ + ______
Answer: Standard Form: 54,002
Expanded Form: 50,000 + 4,000 + 0 + 0 +2
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is fifty-four thousand, two is in Word Form. So, we have to write the given number in the remaining 2 forms.
Show and Grow
Write the number in two other forms.
Question 1. 1
Standard form:
Answer: 38,650
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 38,650 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Word form:
Answer: Thirty-eight thousand, six hundred and fifty
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 38,650 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Expanded form:
Answer: 30,000 + 8,000 + 600 + 50 + 0
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 38,650 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Question 2.
Standard form:
Answer: 105,098
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 105,098 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Word form: one hundred five thousand, ninety-eight
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 105,098 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Expanded form:
Answer: 100,000 + 0 + 5,000 + 0 + 90 + 8
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 105,098 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Apply and Grow: Practice
Write the number in two other forms.
Question 3.
Standard form:
Answer: 642,050
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 642,050 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Word form:
Answer: Six hundred forty- two thousand and fifty
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 642,050 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Expanded form:
Answer: 600,000 + 40,000 + 2,000 + 50
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 642,050 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Question 4.
Standard form: 134,078
Word form:
Answer: One hundred thirty-four thousand and seventy-eight
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 134,078 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Expanded form:
Answer:100,000 + 30,000 + 4,000 + 0 + 70 + 8
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 134,078 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Question 5.
Complete the table.
Answer:
A) Given Word Form is: three thousand, four hundred ninety-seven
Standard Form: 3,497
Expanded Form: 3,000 + 400 + 90 + 7
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is three thousand, four hundred ninety-seven is in Word Form. So, we have to write the given number in the remaining 2 forms.
B) Given Expanded Form is: 50,000 + 2,000 + 400 + 80
Standard Form: 52,480
Word Form: Fifty-two thousand four hundred eighty
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 50,000 + 2,000 + 400 + 80 is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
C) Given Standard Form is: 610,010
Word Form: Six hundred ten thousand, ten
Expanded Form: 600,000 + 10,000 + 0 + 10 + 0
Explanation:
We can write the given number in 3 forms. They are:
A) Standard Form B) Word Form C) Expanded Form
Now, the given number which is 610,010 is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Question 6.
YOU BE THE TEACHER
The fangtooth fish lives about 6,500 feet underwater. Newton reads this number as “six thousand five hundred.”Descartes reads the number as “sixty-five hundred.”Did they both read the number correctly? Explain.
Answer: Yes
Explanation:
The given number is “6,500”. Newton read it as “Six thousand five hundred” and Descartes read it as “Sixty-five hundred” because “One thousand is equal to 100 hundred”.
Question 7.
Which One Doesn’tBelong?
Which one not does belong with the other three?
eight hundred sixteen thousand, nine
800,000 + 10,000 + 6,000 + 900
816,009
Answer: The “Expanded Form” does not belong among the given three.
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given “period Table” can read as “816,009” and ‘9’ has the place-value of 1 but in the Expanded Form, ‘9’ has a place-value of 100.
Think and Grow: Modeling Real Life
Example
Morse code is a code in which numbers and letters are represented by a series of dots and dashes. Use the table to write the number in standard form, word form, and expanded form.
Standard form:
Word form:
Expanded form:
Show and Grow
Question 8.
Use the table above to write the number in standard form, word form, and expanded form.
Answer:
Question 9.
Use the number 20,000 + 9,000 + 400 + 50 to complete the check.
Answer:
Standard Form: 29,450
Word Form: Twenty-nine thousand four hundred fifty
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is 20,000 + 9,000 + 400 + 50 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
Read and Write Multi-Digit Numbers Homework & Practice 1.2
Write the number in two other forms.
Question 1.
Standard form:
Word form:
Expanded form: 500,000 + 40,000 + 3,000 + 200 + 90 + 8
Answer: Standard Form: 543,298
Word Form: Five hundred forty-three thousand, two hundred Ninety-eight
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is 500,000 + 40,000 + 3,000 + 200 + 90 + 8 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
Question 2.
Standard form:
Word form: forty-eight thousand, six hundred three
Expanded form:
Answer: Standard Form: 48,603
Expanded Form: 40,000 + 8,000 + 600 + 0 + 3
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is forty-eight thousand, six hundred three which is in Word Form. So, we have to write the given number in the remaining 2 forms.
Question 3.
Complete the table.
Answer:
A) 9,629
Word Form: Nine thousand, six hundred and twenty-nine
Expanded Form: 9,000 + 600 + 20 + 9
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is 9,629 which is in Standard Form. So, we have to write the given number in the remaining 2 forms.
B) 30,000 + 7,000 + 800 + 2
Standard Form: 37,802
Word Form: Thirty-seven thousand, Eight hundred two
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is 30,000 + 7,000 + 800 + 2 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
C) four hundred sixteen thousand, eighty-seven
Standard Form: 416,087
Expanded Form: 400,000 + 16,000 + 0 + 80 + 7
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is four hundred sixteen thousand, eighty-seven which is in Word Form. So, we have to write the given number in the remaining 2 forms.
Question 4.
Reasoning
Your teacher asks the class to write forty-two thousand, ninety-three in standard form. Which student wrote the correct number? What mistake did the other student make?
Answer: Student B
Explanation: The teacher asked Student A and B to write “forty-two thousand, ninety-three” in Standard form. That means ‘9’ must be in the tens place. But, Student A put the ‘9’ in the hundreds place whereas Student B put the ‘9’ in the tens place.
Question 5.
Logic
The number has two periods. The thousands period is written as six hundred eight thousand in word form. The one period is written as 600 + 80 in expanded form. What is the number?
Answer: 608,680
Explanation: Given that the number has 2 periods. They are 1) The thousands period 2) The hundreds period
The given Thousands period is: Six hundred eight thousand ( Word Form)
The given Hundreds period is: 600 + 80 ( Expanded Form)
On combining the 2 periods, we get the number “608,680” in the Standard Form.
Question 6.
Modeling Real Life
Use the table to write the number in standard form, word form, and expanded form.
Answer:
Question 7.
Modeling Real Life
Use the number 3,000 + 70 + 1 to complete the check.
Answer: Standard Form: 3,071
Word Form: Three thousand, Seventy-one
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is 3,000 + 70 + 1 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
Review & Refresh
Compare
Question 8.
Answer: \(\frac{1}{6} \) is less than \(\frac{2}{6} \)
Explanation:
\(\frac{1}{6} \) = 0.1666
\(\frac{2}{6} \) = 0.333
Hence, \(\frac{1}{6} \) is less than \(\frac{2}{6} \)
Question 9.
Answer: \(\frac{2}{2} \) is greater than \(\frac{2}{3} \)
Explanation:
\(\frac{2}{2} \) = 1
\(\frac{2}{3} \) = 0.666
Hence, \(\frac{2}{2} \) is greater than \(\frac{2}{3} \)
Question 10.
Answer: \(\frac{1}{2} \) is less than \(\frac{3}{4} \)
Explanation:
\(\frac{1}{2} \) = 0.5
\(\frac{3}{4} \) = 0.75
Hence, \(\frac{1}{2} \) is less than \(\frac{3}{4} \)
Question 11.
Answer: \(\frac{1}{4} \) is equal to \(\frac{2}{8} \)
Explanation:
\(\frac{1}{4} \) = 0.25
\(\frac{2}{8} \) = 0.25
Hence, \(\frac{1}{4} \) is equal to \(\frac{2}{8} \)
Lesson 1.3 Compare Multi-Digit Numbers
Explore and Grow
Goal: Make the greatest number possible.
Draw a Number Card. Choose a place value for the digit. Write the digit in the place value chart. Continue until the place value chart is complete.
Compare your number with your partner’s. Whose number is greater?
Answer: Let me consider my number as “A” and my partner number as “B”
Let,
A = 999999 and B = 999998
From the 2 numbers, we can conclude that
A > B
Construct Arguments
Explain your strategy to your partner. Compare your strategies.
Answer:
Think and Grow: Compare Multi-Digit Numbers
Example
Compare 8,465 and 8,439.
Use a place value chart.
Start at the left. Compare the digits in each place until the digits differ.
Answer:
Step 1: 8 thousand = 8 thousand
Step 2: 4 hundred = 4 hundred
Step 3: 6 tens > 3 tens
So,
8,465 > 8,439
Explanation:
The given 2 numbers are 8,465 and 8,439
By comparing the 2 numbers, we can conclude that
8,465 > 8,439
Show and Grow
Write which place to use when comparing the numbers.
Question 1.
2,423
2,324
Answer: 2,423 is greater than 2,324
Explanation:
The given 2 numbers are 2,423 and 2,324
From these 2 numbers, we can conclude that 2,423 is greater than 2,324.
Question 2.
9,631
9,637
Answer: 9,631 is less than 9,637
Explanation:
The given 2 numbers are 9,631 and 9,637.
From these 2 numbers, we can conclude that 9,631 is less than 9,637
Question 3.
15,728
16,728
Answer: 15,728 is less than 16,728
Explanation:
The given 2 numbers are 15,728 and16,728.
From these 2 numbers, we can conclude that 15,728 is less than 16,728
Compare
Question 4.
Answer: 5,049 is less than 5,082
Explanation:
The given 2 numbers are 5,049 and 5,082.
From these 2 numbers, we can conclude that5,049 is less than 5,082
Question 5.
Answer: 735,283 is equal to 735,283
Explanation:
The given 2 numbers are 735,283 and 735,283.
From these 2 numbers, we can conclude that 735,283 is equal to 735,283
Question 6.
Answer: 43,694 is greater than 3,694
Explanation:
The given 2 numbers are 43,694 and 3,694.
From these 2 numbers, we can conclude that 43,694 is greater than 3,694
Question 7.
Answer: 88,195 is greater than 78,195
Explanation:
The given 2 numbers are88,195 and 78,195.
From these 2 numbers, we can conclude that 88,195 is greater than 78,195
Question 8.
Answer: 6,480 is less than 6,508
Explanation:
The given 2 numbers are 6,480 and 6,508.
From these 2 numbers, we can conclude that 6,480 is less than 6,508
Question 9.
Answer: 321,817 is greater than 312,827
Explanation:
The given 2 numbers are 321,817 and 312,827.
From these 2 numbers, we can conclude that 321,817 is greater than 312,827
Apply and Grow: Practice
Compare.
Question 10.
Answer: 6,052 is less than 6,520
Explanation:
The given 2 numbers are 6,052 and 6,520.
From these 2 numbers, we can conclude that 6,052 is less than 6,520
Question 11.
Answer: 891,634 is greater than 871,634
Explanation:
The given 2 numbers are 891,634 and 871,634
From these 2 numbers, we can conclude that 891,634 is greater than 871,634
Question 12.
Answer: 28,251 is greater than 26,660
Explanation:
The given 2 numbers are28,251 and 26,660
From these 2 numbers, we can conclude that 28,251 is greater than 26,660
Question 13.
Answer: 324,581 is greater than 32,458
Explanation:
The given 2 numbers are 324,581 and 32,458
From these 2 numbers, we can conclude that 324,581 is greater than 32,458
Question 14.
Answer: 230,611 is greater than 230,610
Explanation:
The given 2 numbers are 230,611 and 230,610
From these 2 numbers, we can conclude that 230,611 is greater than 230,610
Question 15.
Answer: 909,900 is greater than 909,009
Explanation:
The given 2 numbers are 909,900 and 909,009
From these 2 numbers, we can conclude that 909,900 is greater than 909,009
Question 16.
Answer: 7,134 is less than 7,634
Explanation:
The given Expanded Form is: 7,000 + 100 + 30 + 4 = 7,134
The given 2 numbers are 7,134 and 7,634
From these 2 numbers, we can conclude that 7,134 is less than 7,634
Question 17.
Answer: 100,003 is greater than 10,003
Explanation:
The given Word Form is: ten thousand, three = 10,003
The given 2 numbers are 100,003 and 10,003
From these 2 numbers, we can conclude that 100,003 is greater than 10,003
Question 18.
Answer: 16,409 is less than 16,490
Explanation:
The given word Form is: Sixteen thousand, four hundred nine = 16,409
The given 2 numbers are 16,409 and16,490
From these 2 numbers, we can conclude that 16,409 is less than 16,490
Question 19.
Answer: 461,329 is equal to 461,329
Explanation:
The given Expanded Form is: 400,000 + 60,000 + 1,000 + 300 + 20 + 9 =461,329
The given 2 numbers are 461,329 and 461,329
From these 2 numbers, we can conclude that 461,329 is equal to 461,329
Question 20.
Two brands of televisions cost $1,598 and $1,998. Which is the lesser price?
Answer: The lesser price is: $1,598
Explanation:
The given costs of two brands of Television are $1,598 and $1,998
From the two costs of Television, we can conclude that the lesser price is: $1,598
Question 21.
DIG DEEPER!
Your friend says she can tell which sum is greater without adding the numbers. How can she tell?
34,593 + 6,781
34,593 + 6,609
Answer: 6,781 is greater tha 6,609
Explanation:
The given sums are:
34,593 + 6,781
34,593 + 6,609
From these two sums, we can see that 6,781 is greater tha 6,609
Question 22.
Number Sense
Write all of the digits that make the number greater than 23,489 and less than 26,472.
2?,650
Answer: 3 and 4
Explanation:
The given numbers are: 23,489 and 26,472
The digits that make the number greater than 23,489 and less than 26,472 are: 3 and 4
Question 23.
YOU BE THE TEACHER
Your friend says 38,675 is less than 9,100 because 3 is less than 9. Is your friend correct? Explain.
Answer: No
Explanation:
The given numbers are 38,675 and 9,100
In 38,675, the highest place-value is: 30,000
In 9,100, the highest place-value is: 9,000
From these, we can conclude that 38,675 is greater than 9,100
Think and Grow: Modeling Real Life
Example
Which playground costs the least?
Write each number in a place value chart.
Answer:
The playground which costs the least is: Green
Explanation: From the given table, we can conclude that “Green” has the least cost which is $35,872
Order the numbers from least to greatest.
_______, ______, _______
Answer: Green, Yellow, Blue
Explanation:
Compare the costs of 3 playgrounds
Green: $35,872 Yellow: $36,827 Blue: $36,927
From these costs, we can conclude that the order is: Green, Yellow, Blue
The ______ playground costs the least.
Answer: Green
Explanation:
Compare the costs of 3 playgrounds
Green: $35,872 Yellow: $36,827 Blue: $36,927
From these costs, we can conclude that the “Green Playground” has the least cost.
Show and Grow
Question 24.
Who received the highest score? Did anyone beat the high score?
Answer: You
Explanation:
The given high score is: 252,980
The score of You is: 254,020
From the given scores, we can conclude that “You” scored the highest score than the given high score.
Question 25.
Name two cities that have a greater population than St. Louis. Name two cities that do not have a greater population than Oakland.
Answer:
The two cities that have a greater population than St. Louis: Tulsa, OK; Cleveland, OH; Oakland, CA
The two cities that do not have a greater population than Oakland: St. Louis, MO; Anchorage, AK
Compare Multi-Digit Numbers Homework & Practice 1.3
Write which place to use when comparing the numbers
Question 1.
396,241
386,201
Answer: Ten thousand’s place
Explanation: The given numbers are: 396,241 and 386,201
When we want to compare the numbers directly, compare Ten thousand’s place to get the answer.
Question 2.
50,718
50,798
Answer: Tens place
Explanation: The given numbers are: 50,718 and 50,798
When we want to compare the numbers directly, compare Tens place to get the answer.
Question 3.
159,624
459,623
Answer: Hundred thousand place
Explanation: The given numbers are: 159,624 and 459,623
When we want to compare the numbers directly, compare a Hundred thousand place to get the answer.
Compare
Question 4.
Answer: 7,902 is less than 7,912
Explanation:
The given 2 numbers are 7,902 and 7,912
From these 2 numbers, we can conclude that 7,902 is less than 7,912
Question 5.
Answer: 63,871 is less than 63,902
Explanation:
The given 2 numbers are63,871 and 63,902
From these 2 numbers, we can conclude that 63,871 is less than 63,902
Question 6.
Answer: 839,304 is greater than 829,001
Explanation:
The given 2 numbers are 839,304 and 829,001
From these 2 numbers, we can conclude that 839,304 is greater than 829,001
Question 7.
Answer: 48,931 is greater than 48,930
Explanation:
The given 2 numbers are 48,931 and 48,930
From these 2 numbers, we can conclude that 48,931 is greater than 48,930
Question 8.
Answer: 5,739 is equal to 5,739
Explanation:
The given 2 numbers are 5,739 and 5,739
From these 2 numbers, we can conclude that5,739 is equal to 5,739
Question 9.
Answer: 10,000 is less than 100,000
Explanation:
The given 2 numbers are 10,000 and 100,000
From these 2 numbers, we can conclude that 10,000 is less than 100,000
Compare
Question 10.
Answer: 16,420 is greater than 16,402
Explanation:
The given Expanded Form is: 10,000 + 6,000 + 400 + 2 = 16,402
The given 2 numbers are 16,420 and 16,402
From these 2 numbers, we can conclude that 16,420 is greater than 16,402
Question 11.
Answer: 14.000 is less than 114,000
Explanation:
The given Word Form is fourteen thousand = 14,000
The given 2 numbers are 14.000 and 114,000
From these 2 numbers, we can conclude that 14.000 is less than 114,000
Question 12.
Answer: 800,095 is less than 800,695
Explanation:
The given Word Form is eight hundred thousand, ninety-five = 800,095
The given 2 numbers are 800,095 and 800,695
From these 2 numbers, we can conclude that 800,095 is less than 800,695
Question 13.
Answer: 509,733 is equal to 509,733
Explanation:
The given Expanded Form is 500,000 + 9,000 + 700 + 30 + 3 = 509,733
The given 2 numbers are 509,733 and509,733
From these 2 numbers, we can conclude that 509,733 is equal to 509,733
Question 14.
Two different laptops cost $1,050 and$1,150. Which is the lesser price?
Answer: $1,050 is the lesser price.
Explanation:
The cost of two different Laptops are: $1,050 and $1,150
When compare $1,050 and $1,150, we can conclude that $1,050 is the lesser price.
Question 15.
DIG DEEPER!
If the leftmost digits of two multi-digit numbers are 6and 9, can you tell which number is greater? Explain.
Answer: 9 is a greater number
Explanation:
The given leftmost digits of two numbers are 6 and 9.
When we compare 6 and 9, we can conclude that 9 is the greater number.
Question 16.
Writing
Explain why you start comparing digits on the left when comparing multi-digit numbers.
Answer: When we compare multi-digit numbers, we start comparing digits on the leftmost side because those numbers’ positions have the highest place-value.
Question 17.
Modeling Real Life
Use the table to answer the questions.
Name two museums that had a yearly attendance greater than Children’sMuseum of Denver. Name two museums
that had a yearly attendance less than Discovery Place.
Answer:
The museums that had a yearly attendance greater than the Children’s Museum of Denver are:
A) Boston Children’s Museum B) Children’s Museum of Houston C) Discovery palace D) Exploratorium
The museums that had a yearly attendance less than Discovery Place are:
A) Boston Children’s Museum B) Children’s Museum of Denver C) Please Touch Museum
Review & Refresh
Round.
Question 18.
654
Nearest ten: _____
Nearest hundred: _____
Answer: 50, 600
Explanation:
The given number is: 654
When we round off the tens place, the nearest ten is: 50
When we round off the hundreds place, the nearest hundred is: 600
Question 19.
709
Nearest ten: _____
Nearest hundred: ______
Answer: 0, 700
Explanation:
The given number is: 709
When we round off the tens place, the nearest ten is: 0 ( Since the tens place is 0)
When we round off the hundreds place, the nearest hundred is: 700
Question 20.
25
Nearest ten: _____
Nearest hundred: _______
Answer: 20, 0
Explanation:
The given number is: 25
When we round off the tens place, the nearest ten is: 20
When we round off the hundreds place, the nearest hundred is: 0 ( Since the hundreds place is 0)
Lesson 1.4 Round Multi-Digit Numbers
Explore and Grow
Write five numbers that round to 250 when rounded to the nearest ten.
Answer: 210, 220, 230, 240, 250
Explanation:
The five numbers that round to 250 when rounded to the nearest ten are: 210, 220, 230, 240, 250
Write five numbers that round to 500 when rounded to the nearest hundred.
Answer: 100, 200, 300, 400, 500
Explanation:
The five numbers that round to 500 when rounded to the nearest hundred are: 100, 200, 300, 400, 500
Repeated Reasoning
Explain your strategy. Then explain how you could use the strategy to round a four-digit number to the nearest thousand.
Answer:
Think and Grow: Round Multi-Digit Numbers
To round a number, find the multiple of 10, 100, 1,000, and so on, that is closest to the number. You can use a number line or place value to round numbers.
Example
Use a number line to round 4,276 to the nearest thousand.
4,276 is closer to 4,000 than it is to 5,000.
So, 4,276 rounded to the nearest thousand is _______.
Answer: 4,000
Explanation: The number 4276 can be round off to 4,000 when rounded to the nearest thousand.
Example
Use place value to round 385,617 to the nearest ten thousand.
So, 385,617 rounded to the nearest thousand is _______.
Answer: 390,000
Explanation:
The number 385,617 can be round off to 390,000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5)
Show and Grow
Round the number to the place of the underlined digit.
Question 1.
6,912
Answer: 7000
Explanation:
The number 6,912 can be round off to 7,000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5)
Question 2.
43,215
Answer: 43,000
Explanation:
The number 43,215 can be round off to 43,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5)
Question 3.
25,883
Answer: 25,000
Explanation:
The number 25,883 can be round off to 25000 when rounded to the nearest thousand. ( Since the thousands position is less than 5)
Question 4.
148,796
Answer: 140,000
Explanation:
The number 148,796 can be round off to 140000 when rounded to the nearest thousand. ( Since the thousands position is less than 5)
Question 5.
Round 5,379 to the nearest thousand.
Answer: 5,000
Explanation:
The number 5,379 can be round off to 5,000 when rounded to the nearest thousand. ( Since the thousands position is equal to 5)
Question 6.
Round 70,628 to the nearest ten thousand.
Answer: 70,000
Explanation:
The number 70,628 can be round off to 70,000 when rounded to the nearest ten thousand.
Question 7.
Round 362,113 to the nearest hundred thousand.
Answer:360,000
Explanation:
The number 362,113 can be round off to 360000 when rounded to the nearest hundred thousand.
Question 8.
Round 982,638 to the nearest thousand.
Answer:980,000
Explanation:
The number 982,638 can be round off to 980,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5)
Apply and Grow: Practice
Round the number to the place of the underlined digit.
Question 9.
3,641
Answer: 3,700
Explanation:
The number 3,641 can be round off to 3700 when rounded to the nearest hundred. ( Since the hundreds position is greater than 5)
Question 10.
17,139
Answer: 18,000
Explanation:
The number 17,139can be round off to 18000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5)
Question 11.
426,384
Answer: 426,300
Explanation:
The number 426,384 can be round off to 426300 when rounded to the nearest hundred ( Since the hundreds position is greater than 5)
Question 12.
542,930
Answer: 542,000
Explanation:
The number 542,930 can be round off to 542,000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5)
Round the number to the nearest thousand.
Question 13.
9,426
Answer: 9,000
Explanation:
The number 9,426 can be round off to 9000 when rounded to the nearest thousand.
Question 14.
57,496
Answer: 58,000
Explanation:
The number 57,496 can be round off to 58000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5)
Question 15.
360,491
Answer: 360,000
Explanation:
The number 360,491 can be round off to 360000 when rounded to the nearest thousand.
Question 16.
824,137
Answer: 824,000
Explanation:
The number 824,137 can be round off to 824,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5)
Round the number to the nearest hundred thousand.
Question 17.
226,568
Answer: 200,000
Explanation:
The number 226,568 can be round off to 200,000 when rounded to the nearest hundred thousand. ( Since the hundred thousand position is less than 5)
Question 18.
457,724
Answer: 400,000
Explanation:
The number 457,724 can be round off to 400,000 when rounded to the nearest hundred thousand. ( Since the hundred thousand position is less than 5)
Question 19.
108,665
Answer: 100,000
Explanation:
The number 108,665 can be round off to 100,000 when rounded to the nearest hundred thousand. ( Since the hundred thousand position is less than 5)
Question 20.
75,291
Answer:
Question 21.
Number Sense
Write a five-digit number that has the digits 6, 0, 4, 2, and 8 and rounds to 70,000 when rounded to the nearest ten thousand.
Answer: 68,420
Explanation:
The given 5-digits are: 6, 0, 4, 2 and 8
The 5-git number which can be formed by using the given 5 digits are 68,420 and 68,420 can be round off to 70,000 when rounded to the nearest ten thousand.
Question 22.
Number Sense
When finding the United States census, should you round or find an exact answer? Explain.
Answer:
Question 23.
Open-Ended
A lightning strike can reach a temperature of about 54,000 degrees Fahrenheit. Write four possible temperatures for a lightning strike.
Answer:
Think and Grow: Modeling Real Life
Example
When the results are rounded to the nearest ten thousand, which token received about 160,000 votes?
Answer:
When the results are rounded to the nearest ten thousand, the tokens which received 1,60,000 votes are:
A) Race Car B) Rubber Duck
Round each number to the nearest ten thousand.
Answer:
A) 134,704 : 130,000 B) 154,165 : 150,000 C) 207,954 : 208,000 D) 212,476 : 212,000
E) 167,582 : 170,000 F) 146,661 : 150,000 G) 165,083 : 170,000 H) 160,485 : 160,000
So, the _______ received about 160,000 votes.
Answer:
A) Race Car B) Rubber Duck
Show and Grow
Use the table above.
Question 24.
When the results are rounded to the nearest ten thousand, which tokens received about 150,000 votes?
Answer:
A) Cat B) Penguin
Explanation:
From the above table, we can conclude that Cat and the Penguin have 160,000 votes when rounded to the nearest ten thousand.
Question 25.
When the results are rounded to the nearest hundred thousand, which tokens received about 100,000 votes?
Answer:
A) Cat B) Penguin
Explanation:
From the above table, we can conclude that Cat and the Penguin have 160,000 votes when rounded to the nearest hundred thousand
Question 26.
DIG DEEPER!
To which place should you round each number of votes so that you can order the numbers from greatest to least? Explain.
Answer:
Question 27.
A car battery should be replaced when the odometer shows about 50,000 miles. None of the cars below have had a battery replacement. Which cars might need a new battery?
Answer: ODO
Explanation:
From the given Fig.,
we can conclude that ODO which has above 50,000 miles needs a battery replacement.
Round Multi-Digit Numbers Homework & Practice 1.4
Round the number to the place of the underlined digit.
Question 1.
6,251
Answer: 6,250
Explanation:
The given number is 6,251 and the underlined digit is 5.
Since the underlined digit is equal to 5, we can conclude that the given number can round off to 6,250
Question 2.
8,962
Answer: 9,000
Explanation:
The given number is 8,962 and the underlined digit is 8.
Since the underlined digit is greater than 5, we can conclude that the given number can round off to 9,000
Question 3.
3,951
Answer: 3,950
Explanation:
The given number is 3,951 and the underlined digit is 9.
we can conclude that the given number can round off to 3,950
Question 4.
79,064
Answer: 80,000
Explanation:
The given number is 79,064 and the underlined digit is 9.
Since the underlined digit is greater than 5, we can conclude that the given number can round off to 80,000
Question 5.
43,976
Answer: 43,000
Explanation:
The given number is 43,976 and the underlined digit is 3.
Since the underlined digit is greater than 5, we can conclude that the given number can round off to 43,000
Question 6.
24,680
Answer: 24,000
Explanation:
The given number is 24,680 and the underlined digit is 2.
Since the underlined digit is less than 5, we can conclude that the given number can round off to 24,000
Question 7.
726,174
Answer: 800,000
Explanation:
The given number is 726,174 and the underlined digit is 7.
Since the underlined digit is greater than 5, we can conclude that the given number can round off to 800,000
Question 8.
138,691
Answer: 140,000
Explanation:
The given number is 138,691 and the underlined digit is 8.
Since the underlined digit is greater than 5, we can conclude that the given number can round off to 140,000
Round the number to the nearest thousand.
Question 9.
5,517
Answer: 5,000
Explanation:
The given number is 5,517. Since the thousands position is equal to 5, we can round it off to 5,000
Question 10.
70,628
Answer: 70,000
Explanation:
The given number is 70,628. Since the thousands position is less than 5, we can round it off to 70,000
Round the number to the nearest ten thousand.
Question 11.
114,782
Answer: 110,000
Explanation:
The given number is 114,782. Since the ten thousand’s position is less than 5, we can round it off to 110,000
Question 12.
253,490
Answer: 250,000
Explanation:
The given number is 253,490. Since the ten thousand’s position is equal to 5, we can round it off to 250,000
Round the number to the nearest hundred thousand.
Question 13.
628,496
Answer: 700,000
Explanation:
The given number is 628,496. Since the hundred thousand’s position is greater than 5, we can round it off to 700,000
Question 14.
90,312
Answer: 90,312
Explanation:
The given number is 90,312. There is no hundred thousand’s position in the given number. So, there is no effect on the given number.
Question 15.
Structure
Round * to the nearest thousand and to the nearest ten thousand.
Nearest thousand: ______
Nearest ten thousand: ______
Answer: Nearest Thousand: 8000
Nearest ten thousand: 10,000
Explanation:
In the given fig., the * sign is present after 7,500.
From this, we can conclude that
Nearest Thousand: 8000
Nearest ten thousand: 10,000
Question 16.
Number Sense
Which numbers round to 300,000 when rounded to the nearest hundred thousand?
Answer: 302,586
Explanation:
From the given fig., when we observe the positions of hundred’s and ten thousand’s positions, it is clear that “302,586” can round off to 300,000
Question 17.
Number Sense
When discussing the price of a laptop, should you round to the nearest thousand or the nearest ten? Explain.
Answer: When you are discussing the price of a laptop, you should round off to the nearest thousand instead of the nearest ten.
Example: Suppose you want to buy a laptop that costs $152,236. When the dealer told you the price of a laptop, you will ask to round off the price of the laptop so that it will be easier for you to buy that laptop.
Question 18.
YOU BE THE TEACHER
Your friend says 5,953 rounds to 5,053 when rounded to the nearest hundred. Is your friend correct? Explain.
Answer: Wrong
Explanation:
The given number is 5,953. When rounded off to the nearest hundred, the given number becomes 6,000 since the hundreds position is greater than 5.
Question 19.
Modeling Real Life
A glassblower is using a furnace to melt glass. When the furnace reaches about 2,000 degrees Fahrenheit, when
rounded to the nearest hundred, she can put the glass in. At which temperatures could she put the glass into the
furnace?
Answer: 1925
Explanation:
Given that the furnace reached 2000 degrees Fahrenheit when rounded off to the nearest hundred.
So, the given options are: A) 2005 B) 1899 C) 1925 D) 275 E) 1002
From the given options, it is clear that 1925 degrees can round off to 2000 degrees.
Note: The option 2005 degrees can’t become the answer because when rounding off to the nearest number, the number should be less than the desired number.
Review & Refresh
Find the perimeter of the polygon.
Question 20.
Perimeter: _____
Answer: 23 in.
Explanation:
The “Perimeter” is defined as the total length of the geometrical figure covered on all sides.
So, the perimeter of the Polygon can be calculated as :
10 in. + 4 in. + 6 in. + 3 in. = 23 in.
Question 21.
Perimeter: _____
Answer: 26 m
Explanation:
The “Perimeter” is defined as the total length of the geometrical figure covered on all sides.
In a Parallelogram, the parallel sides are equal.
So, the length of all the sides of a parallelogram is: 8 m, 8 m, 5 m, 5 m
So,
The perimeter of the parallelogram can be calculated as:
8 m + 8 m + 5 m + 5 m = 26 m
Question 22
Perimeter: ______
Answer: 28 ft
Explanation:
The “Perimeter” is defined as the total length of the geometrical figure covered on all sides.
In a Square, the length of all the sides is equal. So, even in the fig., the length of 1 side is given, we can take it as the length of each of the remaining sides.
So, the perimeter of the square can be calculated as:
7 ft + 7 ft + 7ft + 7 ft = 28 ft.
Place Value Concepts Performance Task
You hike from Point A through Point F along the orange path shown on the map.
Question 1.
What is the distance in elevation between each contour line?
Answer: 100 ft.
Explanation:
When we observe the Contour lines from 2000 ft. to 3000 ft., we can conclude that each Contour line can represent 100 ft.
Question 2.
As you walk from A to C, are you walking uphill or downhill? Explain.
Answer: Downhill
Explanation: When we observe the orange path in the given Contour lines, we can conclude that from A to C, you are going downhill.
Question 3.
Which letter represents the highest point? Estimate the height.
Answer: C
Explanation:
If we observe the Orange path, then we can see that Point C represents the highest point.
Question 4.
A water station has an elevation of 2,763 feet. Which letter represents the location of the water station?
Answer: Point B
Explanation:
From the Orange path, we can see that between 2,500 ft and 3,000 ft., Point is present which can represent the location of the water Station that has an elevation of 2,763 feet.
Question 5.
You take a break when you are at two thousand eighty feet. At which letter do you take a break?
Answer: Point A
Explanation:
Point A is present after 2,000 ft which is the nearest to 2,080 ft. So, Point A takes a break here.
Question 6.
About how much higher do you think Point C is than Point D? Explain.
Answer:
Place Value Concepts Activity
Place Value Plug-In
Directions:
1.Players take turns.
2.On your turn, roll six dice.Arrange the dice into a six-digit number that matches one of the descriptions.
3.Write your number on the lines.
4. The first player to complete all of the numbers wins!
Place Value Concepts Chapter Practice
1.1 Understand Place Value
Write the value of the underlined digit.
Question 1.
26,490
Answer: 90
Explanation;
The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘9’ in 26,490’ is: 90
Question 2.
57,811
Answer: 50,000
Explanation:
The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘5’ in ‘57,811’ is: 50,000
Question 3.
308,974
Answer: 8,000
Explanation:
The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘8’ in ‘308,974’ is: 8,000
Question 4.
748,612
Answer: 700,000
Explanation:
The position of each digit in a number is defined and it is the value based on the position of the digit. So, the place value of ‘7’ in ‘748,612’ is: 700,000
Compare the values of the underlined digits
Question 5.
94 and 982
Answer: The value of 9 in 982 is 10 times the value of 9 in 94
Explanation:
The value of 9 in 982 is: 900
The value of 9 in 94 is: 90
From these values, we can conclude that the value of 9 in 982 is 10 times the value of 9 in 94
Question 6.
817,953 and 84, 006
Answer: The value of 8 in 817,953 is 10 times the value of 8 in 84,006
Explanation:
The value of 8 in 817,953 is:800,000
The value of 8 in 84,006 is:80,000
From these values, we can conclude that the value of 8 in 817,953 is 10 times the value of 8 in 84,006
1.2 Read and Write Multi-Digit Numbers
Question 7.
Complete the table.
Answer:
A)50,000 + 600 + 90 + 1
Word Form: Fifty thousand, Six hundred Ninety-one
Standard Form: 50,691
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is 50,000 + 600 + 90 + 1 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
B) Seven hundred two thousand, five hundred
Standard Form:702,500
Expanded Form: 700,000 + 0 + 2,000 + 500 + 0 + 0
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is Seven hundred two thousand, five hundred which is in Word Form. So, we have to write the given number in the remaining 2 forms.
C) 993,004
Word Form: Nine hundred Ninety-three thousand, four
Expanded Form: 900,000 + 90,000 + 3,000 + 0 + 0 +4
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is 993,004 which is in Standard Form. So, we have to write the given number in the remaining 2 forms.
Question 8.
Modeling Real Life
Use the number 10,000 + 4,000 + 300 + 90 + 9 to complete the check.
Answer:
Word Form: Fourteen thousand, Three hundred Ninety-nine
Standard Form: 14,399
Explanation:
We can write any number in 3 Forms. They are;
A) Standard Form B) Word Form C) Expanded Form
Now, the given number is10,000 + 4,000 + 300 + 90 + 9 which is in Expanded Form. So, we have to write the given number in the remaining 2 forms.
1.3 Compare Multi-Digit Numbers
Write which place to use when comparing the numbers.
Question 9.
46,027
46,029
Answer: 46,027 is less than 46,029
Explanation:
The given 2 numbers are 46,027 and 46,029.
From these 2 numbers, we can conclude that 46,027 is less than 46,029
Question 10.
548,003
545,003
Answer: 548,003 is greater than 545,003
Explanation:
The given 2 numbers are 548,003 and 545,003.
From these 2 numbers, we can conclude that 548,003 is greater than 545,003
Question 11.
619,925
630,982
Answer: 619,925 is less than 630,982
Explanation:
The given 2 numbers are 619,925 and 630,982.
From these 2 numbers, we can conclude that 619,925 is less than 630,982
Compare.
Question 12.
Answer: 4,021 is less than 4,210
Explanation:
The given 2 numbers are 4,021 and 4,210.
From these 2 numbers, we can conclude that 4,021 is less than 4,210
Question 13.
Answer: 78,614 is equal to 78,614
Explanation:
The given 2 numbers are 78,614 and 78,614.
From these 2 numbers, we can conclude that 78,614 is equal to 78,614
Question 14.
Answer: 816,532 is greater than 816,332
Explanation:
The given 2 numbers are 816,532 and 816,332.
From these 2 numbers, we can conclude that 816,532 is greater than 816,332
Question 15.
Answer: 55,002 is less than 65,002
Explanation:
The given 2 numbers are 55,002 and 65,002.
From these 2 numbers, we can conclude that 55,002 is less than 65,002
Question 16.
Answer: 3,276 is greater than 3,275
Explanation:
The given 2 numbers are 3,276 and 3,275.
From these 2 numbers, we can conclude that 3,276 is greater than 3,275
Question 17.
Answer: 45,713 is less than 457,130
Explanation:
The given 2 numbers are45,713 and 457,130.
From these 2 numbers, we can conclude that 45,713 is less than 457,130
Question 18.
Answer: 569,021 is greater than 56,902
Explanation:
The given Expanded Form is: 50,000 + 6,000 + 900 + 2 =56,902
The given 2 numbers are569,021 and 56,902.
From these 2 numbers, we can conclude that 569,021 is greater than 56,902
Question 19.
Answer: 37,000 is less than 307,000
Explanation:
The given Word Form is: Thirty – seven thousand = 37,000
The given 2 numbers are 37,000 and 307,000.
From these 2 numbers, we can conclude that37,000 is less than 307,000
Question 20.
Two different hot tubs cost $4,179 and $4,139. Which is the lesser price?
Answer: The lesser price is $4,139
Explanation:
The costs of two different hot tubs are: $4,179 and $4,139
On comparing the costs of two different hot tubs, we can conclude that the lesser price is $4,139
Question 21.
Number Sense
Write all of the digits that make the number greater than 47,068 and less than 47,468.?
47,?68
Answer: 1, 2, 3
Explanation:
The digits that make the number greater than 47,068 and less than 47,468 are: 1, 2, 3
1.4 Round Multi-Digit Numbers
Round the number to the place of the underlined digit.
Question 22.
8,614
Answer: 8,610
Explanation:
The number 8,614 can be round off to 8,610 when rounded to the nearest ten. ( Since the tens position is less than 5)
Question 23.
2,725
Answer: 2,000
Explanation:
The number 2,725 can be round off to 2,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5)
Question 24.
27,602
Answer: 27,700
Explanation:
The number 27,602 can be round off to 27,700 when rounded to the nearest hundred. ( Since the hundreds position is greater than 5)
Question 25.
906,154
Answer: 906,100
Explanation:
The number 906,154 can be round off to 906,100 when rounded to the nearest hundred. ( Since the hundreds position is less than 5)
Round the number to the nearest thousand.
Question 26.
1,358
Answer: 1,000
Explanation:
The number 1,358 can be round off to 1,000 when rounded to the nearest thousand. ( Since the thousands position is less than 5)
Question 27.
57,094
Answer: 58,000
Explanation:
The number 57,094 can be round off to 58,000 when rounded to the nearest thousand. ( Since the thousands position is greater than 5)
Round the number to the nearest ten thousand.
Question 28.
431,849
Answer: 431,000
Explanation:
The number 431,849 can be round off to 431,000 when rounded to the nearest ten thousand. ( Since the ten thousand’s position is less than 5)
Question 29.
60,995
Answer: 70,000
Explanation:
The number 60,995 can be round off to 70,000 when rounded to the nearest ten thousand. ( Since the ten thousand’s position is greater than 5)
Final Words:
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