Eureka Math Grade 5 Module 1 Lesson 16 Answer Key (2024)

Engage NY Eureka Math 5th Grade Module 1 Lesson 16 Answer Key

Eureka Math Grade 5 Module 1 Lesson 16 Sprint Answer Key

A
Multiply and Divide by Exponents


Answer:-

Question 1.
10 × 10 =
Answer:- 100

Question 2.
10²=
Answer:- 100

Question 3.
10²× 10 =
Answer:- 1000

Question 4.
10³=
Answer:- 1000

Question 5.
10³× 10 =
Answer:- 10000

Question 6.
10⁴=
Answer:- 10000

Question 7.
3 × 100 =
Answer:- 300

Question 8.
3 × 10²=
Answer:- 300

Question 9.
3.1 × 10²=
Answer:- 310

Question 10.
3.15 × 10²=
Answer:- 315

Question 11.
3.157 × 10²=
Answer:- 315.7

Question 12.
4 × 1,000 =
Answer:- 4000

Question 13.
4 × 10³=
Answer:- 4000

Question 14.
4.2 × 10³=
Answer:- 4200

Question 15.
4.28 × 10³=
Answer:- 4280

Question 16.
4.283 × 10³=
Answer:- 4283

Question 17.
5 × 10,000 =
Answer:- 50000

Question 18.
5 × 10⁴=
Answer:- 50000

Question 19.
5.7 × 10⁴=
Answer:- 57000

Question 20.
5.73 × 10⁴=
Answer:- 57300

Question 21.
5.731 × 10⁴=
Answer:- 57310

Question 22.
24 × 100 =
Answer:- 2400

Question 23.
3,400 ÷ 10² =
Answer:- 34

Question 24.
3,470 ÷ 10² =
Answer:- 34.70

Question 25.
3,407 ÷ 10² =
Answer:- 34.07

Question 26.
3,400.7 ÷ 10² =
Answer:- 34.007

Question 27.
63,000 ÷ 1,000 =
Answer:- 63

Question 28.
63,000 ÷ 10³ =
Answer:- 63

Question 29.
63,800 ÷ 10³ =
Answer:- 63.8

Question 30.
63,080 ÷ 10³ =
Answer:- 63.080

Question 31.
63,082 ÷ 10³ =
Answer:- 63.082

Question 32.
81,000 ÷ 10,000 =
Answer:- 8.1

Question 33.
81,000 ÷ 10⁴ =
Answer:- 8.1

Question 34.
81,400 ÷ 10⁴ =
Answer:- 8.14

Question 35.
81,040 ÷ 10⁴ =
Answer:- 8.1040

Question 36.
91,070 ÷ 10⁴ =
Answer:- 9.1070

Question 37.
120 ÷ 10² =
Answer:- 1.2

Question 38.
350 ÷ 10³ =
Answer:- 0.350

Question 39.
45,920 ÷ 10⁴ =
Answer:- 4.5920

Question 40.
6,040 ÷ 10³ =
Answer:- 6.040

Question 41.
61,080 ÷ 10⁴ =
Answer:- 6.1080

Question 42.
7.8 ÷ 10² =
Answer:- 0.078

Question 43.
40,870 ÷ 10³ =
Answer:- 40.870

Question 44.
52,070.9 ÷ 10² =
Answer:- 520.709

B
Multiply and Divide by Exponents


Answer:-

Question 1.
10 × 10 × 1 =
Answer:- 100

Question 2.
10² =
Answer:- 100

Question 3.
10² × 10 =
Answer:- 1000

Question 4.
10³ =
Answer:- 1000

Question 5.
10³ × 10 =
Answer:- 10000

Question 6.
10⁴ =
Answer:- 10000

Question 7.
500 ÷ 100 =
Answer:- 5

Question 8.
500 ÷ 10² =
Answer:- 5

Question 9.
510 ÷ 10² =
Answer:- 5.1

Question 10.
516 ÷ 10² =
Answer:- 5.16

Question 11.
516.7 ÷ 10² =
Answer:- 5.167

Question 12.
6,000 ÷ 1,000 =
Answer:- 6

Question 13.
6,000 ÷ 10³ =
Answer:- 6

Question 14.
6,200 ÷ 10³ =
Answer:- 6.2

Question 15.
6,280 ÷ 10³ =
Answer:- 6.280

Question 16.
6,283 ÷ 10³ =
Answer:- 6.283

Question 17.
70,000 ÷ 10,000 =
Answer:- 7

Question 18.
70,000 ÷ 10⁴ =
Answer:- 7

Question 19.
76,000 ÷ 10⁴ =
Answer:- 7.6

Question 20.
76,300 ÷ 10⁴ =
Answer:- 7.63

Question 21.
76,310 ÷ 10⁴ =
Answer:- 7.6310

Question 22.
4,300 ÷ 100 =
Answer:- 43

Question 23.
4,300 ÷ 10² =
Answer:- 43

Question 24.
4,370 ÷ 10² =
Answer:- 43.7

Question 25.
4,307 ÷ 10² =
Answer:- 43.07

Question 26.
4,300.7 ÷ 10² =
Answer:- 43.007

Question 27.
73,000 ÷ 1,000 =
Answer:- 73

Question 28.
73,000 ÷ 10³ =
Answer:- 73

Question 29.
73,800 ÷ 10³ =
Answer:- 73.8

Question 30.
73,080 ÷ 10³ =
Answer:- 73.080

Question 31.
73,082 ÷ 10³ =
Answer:- 73.082

Question 32.
91,000 ÷ 10,000 =
Answer:- 9.1

Question 33.
91,000 ÷ 10⁴ =
Answer:- 9.1

Question 34.
91,400 ÷ 10⁴ =
Answer:- 9.14

Question 35.
91,040 ÷ 10⁴ =
Answer:- 9.1040

Question 36.
81,070 ÷ 10⁴ =
Answer:- 8.1070

Question 37.
170 ÷ 10² =
Answer:- 1.7

Question 38.
450 ÷ 10³ =
Answer:- 0.450

Question 39.
54,920 ÷ 10⁴ =
Answer:- 5.4920

Question 40.
4,060 ÷ 10³ =
Answer:- 4.060

Question 41.
71,080 ÷ 10⁴ =
Answer:- 7.1080

Question 42.
8.7 ÷ 10² =
Answer:- 0.087

Question 43.
60,470 ÷ 10³ =
Answer:- 60.470

Question 44.
72,050.9 ÷ 10² =
Answer:- 720.509

Eureka Math Grade 5 Module 1 Lesson 16 Problem Set Answer Key

Solve.

Question 1.
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance.
a. How much money did each child receive?
Answer:- $126 ÷ 4 = $31.50. Each child has received $31.50

b. John, the oldest child, paid his siblings to do his chores. If John pays his allowance equally to his brother and two sisters, how much money will each of his siblings have received in all?
Answer:- $40 will be received to each of his siblings. Because 31.50 ÷ 3 = 10.50 so each sibling gets $10.50 And already his father have give 30.50
totally they have $40.

Question 2.
Ava is 23 cm taller than Olivia, and Olivia is half the height of Lucas. If Lucas is 1.78 m tall, how tall are Ava and Olivia? Express their heights in centimeters.
Answer:- Olivia is half the height of Lucas. If Lucas is 1.78 m tall, i.e., 1.78 ÷ 2 = 0.89m
0.89m x 100 = 89cm
Ava is 23 cm taller than Olivia i.e., 23 + 89 = 112cm
23.89 x 100 = 2389cm
Lucas is 1.78 m tall

Question 3.
Mr. Hower can buy a computer with a down payment of $510 and 8 monthly payments of $35.75. If he pays cash for the computer, the cost is $699.99. How much money will he save if he pays cash for the computer instead of paying for it in monthly payments?
Answer:- Mr. Hower can buy a computer with a down payment of $510 and 8 monthly payments of $35.75. If he pays cash for the computer, the cost is $699.99. The down payment is $510 and EMI per month is $35.75 i.e., 35.75 x 8 = 286 + 510 = $796. If he pays the cost $699.99 then he will save
$796 – $699.99 = $96.01

Question 4.
Brandon mixed 6.83 lb of cashews with 3.57 lb of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lb of nuts left. What was the weight of each bag? Use a tape diagram, and show your calculations.
Answer:- Each bag contains 1.675 lb of nuts.

Question 5.
The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.
a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.
Answer:- If 4 batches of muffins and 5 loaves of bread are baked,
4 x 0.475kg = 1.9 kg
5 x 0.65kg = 3.25; So flour used is 1.9 kg + 3.25kg = 5.15kg. So left flour is 4 x 3.5 = 14.
Therefore, 14kg – 5.15kg = 8.85kg.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
Answer:- The remaining flour is stored in bins that hold 3 kg each. So, we have 8.85 kg flour
nearly 9kg. so each bin stores 3kg i.e., 9 ÷ 3 = 3. So, 3 bins will be needed to store the flour.

Eureka Math Grade 5 Module 1 Lesson 16 Exit Ticket Answer Key

Write a word problem with two questions that matches the tape diagram below, and then solve.

Weight of John’s Dog

Weight of Jim’s Dog
Answer:-
Weight of John’s Dog
Weight of Jim’s Dog

Eureka Math Grade 5 Module 1 Lesson 16 Homework Answer Key

Solve using tape diagrams.

Question 1.
A gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and
9.5 meters on Tuesday. He installed the rest of the fence in equal lengths on Wednesday through Friday. How many meters of fencing did he install on each of the last three days?
Answer:- A gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and 9.5 meters on Tuesday. In Monday and Tuesday he installed
42.6 – 13.45 – 9.5 = 19.65. In the rest of the fence in equal lengths on Wednesday through Friday.
19.65 ÷ 3 = 6.55m he installed.

Question 2.
Jenny charges $9.15 an hour to babysit toddlers and $7.45 an hour to babysit school-aged children.
a. If Jenny babysat toddlers for 9 hours and school-aged children for 6 hours, how much money did she earn in all?
Answer:- If Jenny babysat toddlers for 9 hours i.e., 9 x $9.15 = 82.35
and school-aged children for 6 hours, i.e., 6 x $7.45 = $44.7. Therefore total money she earns $127.05.

b. Jenny wants to earn $1,300 by the end of the summer. How much more will she need to earn to meet her goal?
Answer:- She need to earns to meet her goal is $1,300 – $127.05 = $1,172.95

Question 3.
A table and 8 chairs weigh 235.68 lb together. If the table weighs 157.84 lb, what is the weight of one chair in pounds?
Answer:- Table weigh 157.84 – 235.68 = 77.84. So, each each chair weighs 77.84 ÷ 8 = 9.73 lb.

Question 4.
Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally into 5 containers. How much blue paint is in each container? Give your answer in liters.
Answer:- 1.24 x 3 = 3.72l of blue paint So in each container the blue paint is 3.72 – 1.24 = 2.48l
2.48 x 5 = 0.744 L blue paint in each container.