## Engage NY Eureka Math 4th Grade Module 1 Lesson 12 Answer Key

### Eureka Math Grade 4 Module 1 Lesson 12 Problem Set Answer Key

Estimate and then solve each problem. Model the problem with a tape diagram. Explain if your answer is reasonable.

Question 1.
For the bake sale, Connie baked 144 cookies. Esther baked 49 more cookies than Connie.
a. About how many cookies did Connie and Esther bake? Estimate by rounding each number to the nearest ten before adding.
Answer:
Number of cookies Connie baked = 144 cookies
Number of cookies  Esther baked = 49 more than Connie = 49 + 144 = 193 cookies
Total number of cookies baked by both  = 144 + 193
rounding each number to the nearest ten = 144 ~ 140  and  193 ~ 190.
Adding both 140 + 190 = 330 cookies.

b. Exactly how many cookies did Connie and Esther bake?
Answer:

They both Baked 337 cookies exactly.
c. Is your answer reasonable? Compare your estimate from (a) to your answer from (b). Write a sentence to explain your reasoning.
Answer:
In the (a) bit the estimate answer was 330 cookies  but the answer in (b)  is 337 cookies on rounding it the nearest ten it would be 340 cookies.

Queens 2.
Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents.
a. About how many tickets were sold to parents, teachers, and students? Round each number to the nearest hundred to find your estimate.
Answer:

b. Exactly how many tickets were sold to parents, teachers, and students?
Answer:

c. Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
Answer:
In (b) the answer is 2,918 on rounding it ti nearest hundred we get 2,900. But in (a) the answer is 3,000 on rounding to the nearest hundred. The difference is 100 tickets .

Queens 3.
From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by 11,870 more than the population increase of Queens.
a. Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011.
(Round the addends to estimate.)
Answer:

b. Find the actual total combined population increase of Queens and Brooklyn from 2010 to 2011.
Answer:

c. Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
Answer:
The answer in (b) is 44,020 population but on rounding to the nearest thousand the value is 44,000 in (a). There is a difference of 20 between the both value. Both the values are relatively closed.

Question 4.
During National Recycling Month, Mr. Yardley’s class spent 4 weeks collecting empty cans to recycle.

 Week Number of Cans Collected 1 10,827 2 3 10,522 4 20,011

a. During Week 2, the class collected 1,256 more cans than they did during Week 1. Find the total number of cans Mr. Yardley’s class collected in 4 weeks.
Answer:

b. Assess the reasonableness of your answer in (a) by estimating the total number of cans collected.
Answer:
On rounding the number to the nearest thousand we get 53,000 as total and the difference will be of 443 cans. both my estimation and actual are relatively close.

### Engage NY Math 4th Grade Module 1 Lesson 12 Exit Ticket Answer Key

Model the problem with a tape diagram. Solve and write your answer as a statement.

In January, Scott earned $8,999. In February, he earned$2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months? Is your answer reasonable? Explain.
Answer:
In January Scott earned = $8,999 In February Scott earned =$2,387
In March Scott earned same amount as February = \$2,387
Total earnings in the three months =

Yes my answer is  reasonable. Because my actual and estimation both are relatively close.

### Eureka Math 4th Grade Module 1 Lesson 12 Homework Answer Key

Estimate and then solve each problem. Model the problem with a tape diagram. Explain if your answer is reasonable.

Question 1.
There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits. How many hits did the school’s website have during both months?
Answer:
In February there were 9,854 hits on school’s website
In January  there were more hits than February = 3,905 + 9,854 = 13,759
a. About how many hits did the website have during January and February?
Answer:

b. Exactly how many hits did the website have during January and February?
Answer:

c. Is your answer reasonable? Compare your estimate from (a) to your answer from (b). Write a sentence to explain your reasoning.
Answer:
The actual number of hits 23,613 is reasonable because it is relatively close to the estimation 24,000.

Question 2.
On Sunday, 77,098 fans attended a New York Jets game. The same day, 3,397 more fans attended a New York Giants game than attended the Jets game. Altogether, how many fans attended the games?
Answer:
Number of fans attended a New York Jets game = 77,098
Number of fans attended the Giants game = 3,397 more than New York Jets = 3,397 + 77,098
a. What was the actual number of fans who attended the games?
Answer:

b. Is your answer reasonable? Round each number to the nearest thousand to find an estimate of how many fans attended the games.
Answer:
Rounding each number to the nearest thousand
80,495 ~ 90,000               77,098 ~ 77,000

Yes my answer is reasonable. The real value and the estimation values are close .

Question 3.
Last year on Ted’s farm, his four cows produced the following number of liters of milk:

 Cow Liters of Milk Produced Daisy 5,098 Betsy Mary 9,980 Buttercup 7,087

a. Betsy produced 986 more liters of milk than Buttercup. How many liters of milk did all 4 cows produce?
Answer:
Number of liters of milk produced by Daisy = 5,098
Number of liters of milk produced by Mary = 9,980
Number of liters of milk produced by Buttercup = 7,087
Number of liters of milk produced by Betsy = 986 more liters of milk than Buttercup =986 + 7,087

b. Is your answer reasonable? Explain.
Answer: