Engage NY Eureka Math 5th Grade Module 6 Lesson 33 Answer Key
Eureka Math Grade 5 Module 6 Lesson 33 Sprint Answer Key
A
Divide Decimals
Question 1.
1 ÷ 1 =
Answer:
1 ÷ 1 = 1
Question 2.
1 ÷ 0.1 =
Answer:
1 ÷ 0.1 = 10
Let us multiply the 0.1 by 10, which shifts the decimal point out of the way:
0.1 × 10 = 1
But we must also do it to the 1:
1× 10 = 10
So, 1 ÷ 0.1 has become 10 ÷ 1 (they are both 10 times larger):
10 ÷ 1 = 10
And So, the answer is:
1 ÷ 0.1 = 10
Question 3.
2 ÷ 0.1 =
Answer:
2 ÷ 0.1 = 20
Question 4.
7 ÷ 0.1 =
Answer:
7 ÷ 0.1 = 70
Question 5.
1 ÷ 0.1 =
Answer:
1 ÷ 0.1 = 10
Question 6.
10 ÷ 0.1 =
Answer:
10 ÷ 0.1 = 100
Explanation :
Let us multiply the 0.1 by 10, which shifts the decimal point out of the way:
0.1 × 10 = 1
But we must also do it to the 1:
10× 10 = 100
So, 10 ÷ 0.1 has become 100 ÷ 1 (they are both 10 times larger):
100 ÷ 1 = 100
And So, the answer is:
10 ÷ 0.1 = 100
Question 7.
20 ÷ 0.1 =
Answer:
20 ÷ 0.1 = 200
Question 8.
60 ÷ 0.1 =
Answer:
60 ÷ 0.1 = 600
Question 9.
1 ÷ 1 =
Answer:
1 ÷ 1 = 1
Question 10.
1 ÷ 0.1 =
Answer:
1 ÷ 0.1 = 10
Question 11.
10 ÷ 0.1 =
Answer:
10 ÷ 0.1 = 100
Question 12.
100 ÷ 0.1 =
Answer:
100 ÷ 0.1 = 1000
Explanation :
Let us multiply the 0.1 by 10, which shifts the decimal point out of the way:
0.1 × 10 = 1
But we must also do it to the 1:
100× 10 = 1000
So, 100 ÷ 0.1 has become 1000 ÷ 1 (they are both 10 times larger):
1000 ÷ 1 = 100
And So, the answer is:
100 ÷ 0.1 = 1000
Question 13.
200 ÷ 0.1 =
Answer:
200 ÷ 0.1 = 2000
Question 14.
800 ÷ 0.1 =
Answer:
800 ÷ 0.1 = 8000
Question 15.
1 ÷ 0.1 =
Answer:
1 ÷ 0.1 = 10
Question 16.
1 ÷ 0.01 =
Answer:
1 ÷ 0.01 = 100
Explanation :
Let us multiply the 0.01 by 100, which shifts the decimal point out of the way:
0.01 × 100 = 1
But we must also do it to the 1:
1× 100 = 100
So, 1 ÷ 0.01 has become 100 ÷ 1 (they are both 10 times larger):
100 ÷ 1 = 100
And So, the answer is:
1 ÷ 0.01 = 100
Question 17.
2 ÷ 0.01 =
Answer:
2 ÷ 0.01 = 200
Question 18.
9 ÷ 0.01 =
Answer:
9 ÷ 0.01 = 900
Question 19.
5 ÷ 0.01 =
Answer:
5 ÷ 0.01 = 500
Question 20.
50 ÷ 0.01 =
Answer:
50 ÷ 0.01 = 5000
Explanation :
Let us multiply the 0.01 by 100, which shifts the decimal point out of the way:
0.01 × 100 = 1
But we must also do it to the 1:
50× 100 = 5000
So, 50 ÷ 0.01 has become 5000 ÷ 1 (they are both 10 times larger):
5000 ÷ 1 = 5000
And So, the answer is:
50 ÷ 0.01 = 5000
Question 21.
60 ÷ 0.01 =
Answer:
60 ÷ 0.01 = 6000
Question 22.
20 ÷ 0.01 =
Answer:
20 ÷ 0.01 = 2000
Question 23.
5 ÷ 0.1 =
Answer:
5 ÷ 0.1 = 50
Question 24.
0.5 ÷ 0.1 =
Answer:
0.5 ÷ 0.1 = 5
Explanation :
Let us multiply the 0.1 by 10, which shifts the decimal point out of the way:
0.1 × 10 = 1
But we must also do it to the 1:
0.5 × 10 = 5
So, 0.5 ÷ 0.1has become 5 ÷ 1 (they are both 10 times larger):
5 ÷ 1= 5
And So, the answer is:
0.5 ÷ 0.1 = 5
Question 25.
0.05 ÷ 0.1 =
Answer:
0.05 ÷ 0.1 = 0.5
Explanation :
Let us multiply the 0.1 by 10, which shifts the decimal point out of the way:
0.1 × 10 = 1
But we must also do it to the 1:
0.05 × 10 = 0.5
So, 0.05 ÷ 0.1has become 0.5 ÷ 1 (they are both 10 times larger):
0.5 ÷ 1= 0.5
And So, the answer is:
0.05 ÷ 0.1 = 0.5
Question 26.
0.08 ÷ 0.1 =
Answer:
0.08 ÷ 0.1 = 0.8
Question 27.
4 ÷ 0.01 =
Answer:
4 ÷ 0.01 = 400
Question 28.
40 ÷ 0.01 =
Answer:
40 ÷ 0.01 = 4000
Question 29.
47 ÷ 0.01 =
Answer:
47 ÷ 0.01 = 4700
Question 30.
59 ÷ 0.01 =
Answer:
59 ÷ 0.01 = 5900
Question 31.
3 ÷ 0.1 =
Answer:
3 ÷ 0.1 = 30
Question 32.
30 ÷ 0.1 =
Answer:
30 ÷ 0.1 = 300
Question 33.
32 ÷ 0.1 =
Answer:
32 ÷ 0.1 = 320
Question 34.
32.5 ÷ 0.1 =
Answer:
32.5 ÷ 0.1 = 325
Explanation :
Let us multiply the 0.1 by 10, which shifts the decimal point out of the way:
0.1 × 10 = 1
But we must also do it to the 1:
32.5 × 10 = 325
So, 32.5 ÷ 0.1 has become 325 ÷ 1 (they are both 10 times larger):
325 ÷ 1 = 325
And So, the answer is:
32.5 ÷ 0.1 = 325
Question 35.
25 ÷ 5 =
Answer:
25 ÷ 5 = 5
Question 36.
2.5 ÷ 0.5 =
Answer:
2.5 ÷ 0.5 = 5
Question 37.
2.5 ÷ 0.05 =
Answer:
2.5 ÷ 0.05 = 500
Question 38.
3.6 ÷ 0.04 =
Answer:
3.6 ÷ 0.04 = 90
Question 39.
32 ÷ 0.08 =
Answer:
32 ÷ 0.08 = 400
Question 40.
56 ÷ 0.7 =
Answer:
56 ÷ 0.7 = 80
Question 41.
77 ÷ 1.1 =
Answer:
77 ÷ 1.1 = 70
Question 42.
4.8 ÷ 0.12 =
Answer:
4.8 ÷ 0.12 = 40
Question 43.
4.84 ÷ 0.4 =
Answer:
4.84 ÷ 0.4 = 12.1
Question 44.
9.63 ÷ 0.03 =
Answer:
9.63 ÷ 0.03 = 321
B
Divide Decimals
Question 1.
10 ÷ 1 =
Answer:
10 ÷ 1 = 10
Question 2.
1 ÷ 0.1 =
Answer:
1 ÷ 0.1 = 10
Question 3.
2 ÷ 0.1 =
Answer:
2 ÷ 0.1 = 20
Question 4.
8 ÷ 0.1 =
Answer:
8 ÷ 0.1 = 80
Question 5.
1 ÷ 0.1 =
Answer:
1 ÷ 0.1 = 10
Question 6.
10 ÷ 0.1 =
Answer:
10 ÷ 0.1 = 100
Question 7.
20 ÷ 0.1 =
Answer:
20 ÷ 0.1 = 200
Question 8.
70 ÷ 0.1 =
Answer:
70 ÷ 0.1 = 700
Question 9.
1 ÷ 1 =
Answer:
1 ÷ 1 = 1
Question 10.
1 ÷ 0.1 =
Answer:
1 ÷ 0.1 = 10
Question 11.
10 ÷ 0.1 =
Answer:
10 ÷ 0.1 = 100
Question 12.
100 ÷ 0.1 =
Answer:
100 ÷ 0.1 = 1000
Question 13.
200 ÷ 0.1 =
Answer:
200 ÷ 0.1 = 2000
Question 14.
900 ÷ 0.1 =
Answer:
900 ÷ 0.1 = 9000
Question 15.
1 ÷ 0.1 =
Answer:
1 ÷ 0.1 = 10
Question 16.
2 ÷ 0.01 =
Answer:
2 ÷ 0.01 = 200
Question 17.
7 ÷ 0.01 =
Answer:
7 ÷ 0.01 = 700
Question 18.
7 ÷ 0.01 =
Answer:
7 ÷ 0.01 = 700
Question 19.
4 ÷ 0.01 =
Answer:
4 ÷ 0.01 = 400
Question 20.
40 ÷ 0.01 =
Answer:
40 ÷ 0.01 = 4000
Question 21.
50 ÷ 0.01 =
Answer:
50 ÷ 0.01 = 5000
Question 22.
80 ÷ 0.01 =
Answer:
80 ÷ 0.01 = 8000
Question 23.
4 ÷ 0.1 =
Answer:
4 ÷ 0.1 = 40
Question 24.
0.4 ÷ 0.1 =
Answer:
0.4 ÷ 0.1 = 4
Question 25.
0.04 ÷ 0.1 =
Answer:
0.04 ÷ 0.1 = 0.4
Question 26.
0.07 ÷ 0.1 =
Answer:
0.07 ÷ 0.1 = 0.7
Question 27.
5 ÷ 0.01 =
Answer:
5 ÷ 0.01 = 0.5
Question 28.
50 ÷ 0.01 =
Answer:
50 ÷ 0.01 =5000
Question 29.
53 ÷ 0.01 =
Answer:
53 ÷ 0.01 = 5300
Question 30.
68 ÷ 0.01 =
Answer:
68 ÷ 0.01 = 6800
Question 31.
2 ÷ 0.1 =
Answer:
2 ÷ 0.1 = 20
Question 32.
20 ÷ 0.1 =
Answer:
20 ÷ 0.1 = 200
Question 33.
23 ÷ 0.1 =
Answer:
23 ÷ 0.1 = 230
Question 34.
23.6 ÷ 0.1 =
Answer:
23.6 ÷ 0.1 = 236
Question 35.
15 ÷ 5 =
Answer:
15 ÷ 5 = 3
Question 36.
1.5 ÷ 0.5 =
Answer:
1.5 ÷ 0.5 = 3
Question 37.
1.5 ÷ 0.05 =
Answer:
1.5 ÷ 0.05 = 30
Question 38.
3.2 ÷ 0.04 =
Answer:
3.2 ÷ 0.04 = 80
Question 39.
28 ÷ 0.07 =
Answer:
28 ÷ 0.07 = 400
Question 40.
42 ÷ 0.6 =
Answer:
42 ÷ 0.6 = 80
Question 41.
88 ÷ 1.1 =
Answer:
88 ÷ 1.1 = 80
Question 42.
3.6 ÷ 0.12 =
Answer:
3.6 ÷ 0.12 = 30
Question 43.
3.63 ÷ 0.3 =
Answer:
3.63 ÷ 0.3 = 12.1
Question 44.
8.44 ÷ 0.04 =
Answer:
8.44 ÷ 0.04 = 2.11
Eureka Math Grade 5 Module 6 Lesson 33 Problem Set Answer Key
Record the dimensions of your boxes and lid below. Explain your reasoning for the dimensions you chose for Box 2 and the lid.
BOX 1 (Can hold Box 2 inside.)
The dimensions of Box 1 are __________ × __________ × __________ .
Its volume is __________ .
BOX 2 (Fits inside of Box 1.)
The dimensions of Box 2 are __________ × __________ × __________ .
Reasoning:
LID (Fits snugly over Box 1 to protect the contents.)
The dimensions of the lid are __________ × __________ × __________ .
Reasoning:
Answer:
BOX 1 (Can hold Box 2 inside.)
The dimensions of Box 1 are 19cms × 13cms × 4cms .
Its volume is Length × Breadth × Height .
v= l × b × h
v = 19 × 13 × 4 = 19 × 52 = 988 cubic cms .
BOX 2 (Fits inside of Box 1.)
The dimensions of Box 2 are 9.5cms × 12.5cms × 3.5cms .
Reasoning:
I need a box that is smaller box to be just with the same width and height but its length up to half of the length .
LID (Fits snugly over Box 1 to protect the contents.)
The dimensions of the lid are 19.5 cms × 12.5 cms × 2 cms .
Reasoning:
The length and width need only to be little bit longer than the box of 0.25 cms on each side . The height of the lid needs to be probably needs to be 2cms .
Question 1.
What steps did you take to determine the dimensions of the lid?
Answer:
The dimensions of Box 1 are 19cms × 13cms × 4cms .
First I, decided to add 0.25 cms to the length and the width so, that it is slightly bigger than the box .
Then later, I figured the edges of the lid should cover half of the height of the box.
later checked the materials to make sure 21cms ×27cms had enough material …. if done .
Question 2.
Find the volume of Box 2. Then, find the difference in the volumes of Boxes 1 and 2.
Answer:
BOX 1
The dimensions of Box 1 are 19cms × 13cms × 4cms .
Its volume is Length × Breadth × Height .
v= l × b × h
v = 19 × 13 × 4 = 19 × 52 = 988 cubic cms .
BOX 2
The dimensions of Box 1 are 9.5cms × 12.5cms × 3.5cms .
Its volume is Length × Breadth × Height .
v= l × b × h
V = 9.5cms × 12.5cms × 3.5cms = 9.5 × 43.75 = 415.625 cubic cms.
The Differences between Box 1 and Box 2 = 988 – 415.625 =572.375 cubic cms.
Question 3.
Imagine Box 3 is created such that each dimension is 1 cm less than that of Box 2. What would the volume of Box 3 be?
Answer:
BOX 2
The dimensions of Box 1 are 9.5cms × 12.5cms × 3.5cms .
Box 3 : 1 cms less in each dimension
The dimensions of Box 1 are 8.5cms × 11.5cms × 2.5cms .
Its volume is Length × Breadth × Height .
v= l × b × h
V = 8.5cms × 11.5cms × 2.5cms = 8.5 × 28.75 = 244.375 cubic cms.
Eureka Math Grade 5 Module 6 Lesson 33 Reflection Answer Key
Today, you made a box for a special purpose. It shows one way that math is used all the time to create containers. When might there be other opportunities for you to use the math you have learned in elementary school?
Answer:
Math is an important part of learning for children in the early years because it provides vital life skills. They will help children problem solve, measure and develop their own spatial awareness, and teach them how to use and understand shapes.
Eureka Math Grade 5 Module 6 Lesson 33 Homework Answer Key
Question 1.
Find various rectangular boxes at your home. Use a ruler to measure the dimensions of each box to the nearest centimeter. Then, calculate the volume of each box. The first one is partially done for you.
| Item | Length | Width | Height |
Volume |
| Juice Box | 11 cm | 2 cm | 5 cm | |
Answer:
Its volume is Length × Breadth × Height .
v= l × b × h
| Item | Length | Width | Height |
Volume |
| Juice Box | 11 cm | 2 cm | 5 cm | v = 11×2×5 v = 11 × 10 =110 cubic cms |
| Book | 10 cm | 6 cm | 3 cm | v=10 × 6 ×3 v = 180 cubic cms |
| Wooden shelf | 25 cm | 10 cm | 5 cm | v = 25 × 10 × 5 = 1250 cubic cms |
| C. p . u | 12 cm | 5 cm | 15 cm | v= 12×5×15 v = 900 cubic cms |
| Chocolate Box |
8 cm | 2 cm | 5 cm | v= 8×2×5 v = 80 cubic cms |
| Bangles Box | 20 cm | 8 cm | 10 cm | v= 20×8×10 v=1600 cubic cms |
| Pencil box | 6 cm | 3 cm | 5 cm | v=6×3×5 v=90 cubic cms . |
Question 2.
The dimensions of a small juice box are 11 cm by 4 cm by 7 cm. The super-size juice box has the same height of 11 cm but double the volume. Give two sets of the possible dimensions of the super-size juice box and the volume.
Answer:
The Small Juice box =11 cm by 4 cm by 7 cm.
The Volume of the small juice box = Length × Breadth × Height .
v = 11 × 4 × 7 = 11 × 28 = 308 cubic cms.
Height = 11 cm
If height is same volume is double means
volume = 2 × 308 = 616 cubic cms .
The super juice box will have change in length or breadth
As volume is double it is multiplied by 2
616 = 11 × length × width
56 = length × width
56 = 14 × 4 or 8 × 7
Length can be 14 cm then width will be 4 cm
length can be 8 cm then width will be 7 cm .