## Engage NY Eureka Math 5th Grade Module 1 Lesson 4 Answer Key

### Eureka Math Grade 5 Module 1 Lesson 4 Problem Set Answer Key

Question 1.

Convert and write an equation with an exponent. Use your meter strip when it helps you.

a. 3 meters to centimeters 3 m = 300 cm __3 × 10 ^{2} = 300__

b. 105 centimeters to meters 105 cm = ______ m ________________________

Answer:- 105 cm = 105 ÷ 10

^{2}= 1.05

c. 1.68 meters to centimeters ______ m = ______ cm ________________________

Answer:- 1.68 m = 1.68 ×10

^{2}= 168

d. 80 centimeters to meters ______ cm = ______ m ________________________

Answr:- 80 cm = 80 ÷ 10^{2} = 0.8

e. 9.2 meters to centimeters ______ m = ______ cm ________________________

Answer:- 9.2 m = 9.2 × 10^{2} = 920

f. 4 centimeters to meters ______ cm = ______ m ________________________

Answer:- 4 cm = 4 ÷ 10^{2} = 0.04

g. In the space below, list the letters of the problems where larger units are converted to smaller units.

Answer:– a, e, c are the letters of the problems where larger units are converted to smaller units.

Question 2.

Convert using an equation with an exponent. Use your meter strip when it helps you.

a. 3 meters to millimeters ________ m = ________ mm ________________________

Answer:- 3 m = 3 × 10^{3} = 3,000

b. 1.2 meters to millimeters ________ m = ________ mm ________________________

Answer:- 1.2 m = 1.2 × 10^{3} = 1,200

c. 1,020 millimeters to meters ________ mm = ________ m ________________________

Answer:- 1020 mm = 1,020 ÷ 10^{3} = 1.02

d. 97 millimeters to meters ________ mm = ________ m ________________________

Answer:- 97 mm = 97 ÷ 10^{3} = 0.097

e. 7.28 meters to millimeters ________ m = ________ mm ________________________

Answer:- 7.28 m = 7.28 × 10^{3} = 7,280

f. 4 millimeters to meters ________ mm = ________ m ________________________

Answer:- 4 mm = 4 ÷ 10^{3} = 0.004

g. In the space below, list the letters of the problems where smaller units are converted to larger units.

Answer:- c, d, f are the letters of the problems where smaller units are converted to larger units.

Question 3.

Read each aloud as you write the equivalent measures. Write an equation with an exponent you might use to convert.

a. 3.512 m = _______________ mm 3.512 × 10^{3} = 3,512

b. 8 cm = _______________ m ________________________

Answer:- 8 ÷ 10^{2} = 0.08

c. 42 mm = _______________ m ________________________

Answer:- 42 ÷ 10^{3} = 0.042

d. 0.05 m = _______________ mm ________________________

Answer:- 0.05 × 10^{3} = 50

e. 0.002 m = _______________ cm ________________________

Answer:- 0.002 × 10^{2} = 0.2

Question 4.

The length of the bar for a high jump competition must always be 4.75 m. Express this measurement in millimeters. Explain your thinking. Include an equation with an exponent in your explanation.

Answer:- 4.75 m = 4,750 mm

So, 475 × 10^{3} = 4,750

This actually means they had give the jump rod in meter so that we have to convert it into millimeters. The above equation

shows that clearly.

Question 5.

A honey bee’s length measures 1 cm. Express this measurement in meters. Explain your thinking. Include an equation with an exponent in your explanation.

Answer:- 1 cm = 0.01 m;

So, 1 ÷ 10^{2} = 0.01

This actually means they had give the honey bee’s length in centimeter so that we have to convert it into meters. The above equation shows that clearly.

Question 6.

Explain why converting from meters to centimeters uses a different exponent than converting from meters to millimeters.

Answer:- We all know that converting m to cm we use 1m = 1 x 100 = 100cm whereas, we use the exponent for m to mm

is 1m = 1 x 1000 = 1000mm

### Eureka Math Grade 5 Module 1 Lesson 4 Exit Ticket Answer Key

Question 1.

Convert using an equation with an exponent.

2 meters to centimeters 2 m = ________ cm _________________________

Answer:- 2 m = 2 × 10^{2} = 200

40 millimeters to meters 40 mm = ________ m _________________________

Answer:- 40 mm = 40 ÷ 10^{3} = 0.04

Question 2.

Read each aloud as you write the equivalent measures.

a. A piece of fabric measures 3.9 meters. Express this length in centimeters.

Answer:- 3.9 m = 3.9 x 10^{2} = 390

b. Ms. Ramos’s thumb measures 4 centimeters. Express this length in meters.

Answer:- 4cm = 4 ÷ 10^{2} = 0.04

### Eureka Math Grade 5 Module 1 Lesson 4 Homework Answer Key

Question 1.

Convert and write an equation with an exponent. Use your meter strip when it helps you.

a. 2 meters to centimeters 2m = 200 cm __2 × 10 ^{2} = 200__

b. 108 centimeters to meters 108 cm = ______ m ________________________

Answer:- 108cm = 108 ÷ 10^{2} = 1.08

c. 2.49 meters to centimeters ______ m = ______ cm ________________________

Answer:- 2.48m = 2.49 × 10^{2} = 249

d. 50 centimeters to meters ______ cm = ______ m ________________________

Answer:- 50cm = 50 ÷ 10^{2} = 0.5

e. 6.3 meters to centimeters ______ m = ______ cm ________________________

Answer:- 6.3m = 6.3 × 10^{2} = 630

f. 7 centimeters to meters ______ cm = ______ m ________________________

Answer:- 7 cm = 7 ÷ 10^{2} = 0.07

g. In the space below, list the letters of the problems where smaller units are converted to larger units.

Answer:- b, d, f are list the letters of the problems where smaller units are converted to larger units.

Question 2.

Convert using an equation with an exponent. Use your meter strip when it helps you.

a. 4 meters to millimeters ________ m = ________ mm ________________________

Answer:- 4m = 4 × 10^{3} = 4,000

b. 1.7 meters to millimeters ________ m = ________ mm ________________________

Answer:- 1.7m = 1.7 × 10^{3} = 1,700

c. 1,050 millimeters to meters ________ mm = ________ m ________________________

Answer:- 1050mm = 1,050 ÷ 10^{3} = 1.05

d. 65 millimeters to meters ________ mm = ________ m ________________________

Answer:- 65mm = 65 ÷ 10^{3} = 0.065

e. 4.92 meters to millimeters ________ m = ________ mm ________________________

Answer:- 4.92m = 4.92 × 10^{3} = 4,920

f. 3 millimeters to meters ________ mm = ________ m ________________________

Answer:- 3mm = 3 ÷ 10^{3} = 0.003

g. In the space below, list the letters of the problems where larger units are converted to smaller units.

Answer:- a, b, e are list the letters of the problems where larger units are converted to smaller units.

Question 3.

Read each aloud as you write the equivalent measures. Write an equation with an exponent you might use to convert.

a. 2.638 m = ______________ mm __2.638 × 10 ^{3} = 2,638__

b. 7 cm = ______________ m ________________________

Answer:- 7cm = 7 ÷ 10^{2} = 0.07

c. 39 mm = ______________ m ________________________

Answer:- 39mm = 39 ÷ 10^{3} = 0.039

d. 0.08 m = _______________ mm ________________________

Answer:- 0.08m = 0.08 × 10^{3} = 80

e. 0.005 m = ______________ cm ________________________

Answer:- 0.005m = 0.005 × 10^{2} = 0.5

Question 4.

Yi Ting’s height is 1.49 m. Express this measurement in millimeters. Explain your thinking. Include an equation with an exponent in your explanation.

Answer:- 1.49 m = 1,490 mm

So, 1.49 × 10^{3} = 1,490

Actually, Yi Ting’s height is 1.49m and that we have to convert it into millimeters. So, we have multiplied the Yi Ting’s height

with 10^{3 }

Question 5.

A ladybug’s length measures 2 cm. Express this measurement in meters. Explain your thinking. Include an equation with an exponent in your explanation.

Answer:- 2 cm = 0.02 m

So, 2 ÷ 10^{2} = 0.02

Actually, ladybug’s length is 2 and that is in centimeters and now we have to convert it into meters for that we have divided

with 100.

Question 6.

The length of a sticky note measures 77 millimeters. Express this length in meters. Explain your thinking. Include an equation with an exponent in your explanation.

Answer:- 77 mm = 0.077 m

So, 77 ÷ 10^{3} = 0.077

Actually, the length of a sticky note is 77 and that is in meters and now we have to convert it into meters for that we have to

divide the length of the sticky note with 10^{3}