Eureka Math Grade 4 Module 2 Lesson 1 Answer Key (2024)

Engage NY Eureka Math 4th Grade Module 2 Lesson 1 Answer Key

Eureka Math Grade 4 Module 2 Lesson 1 Problem Set Answer Key

Question 1.
Convert the measurements.
a. 1 km = _______1000________ m
b. 4 km = _______4000________ m
c. 7 km = ________7000_______ m
d. ___18_______ km = 18,000 m
e. 1 m = _______100________ cm
f. 3 m = _______300________ cm
g. 80 m = ______8000_________ cm
h. ____120____ m = 12,000 cm

a. 1 km = 1000 m,

Explanation:
1 km is equal to 10³meter,
1 km = 1 X 10 X 10 X 10 = 1000 meter,
So 1 km = 1000 m.

b. 4 km = 4000 m,

Explanation:
4 km is equal to 4 X 10³meter,
4 km = 4 X 10 X 10 X 10 = 4000 meter,
So 1 km = 4000 m.

c. 7 km = 7000 m,

Explanation:
7 km is equal to 7 X 10³meter,
7 km = 7 X 10 X 10 X 10 = 7000 meter,
So 7 km = 7000 m.

d. 18 km = 18000 m,

Explanation:
18 km is equal to 18 X 10³meter,
18 km = 18 X 10 X 10 X 10 = 18000 meter,
So 18 km = 18000 m.

e. 1 m = 100cm,

Explanation:
1 m is equal to 10²centimeter,
1 m = 1 X 10 X 10 = 100 centimeter,
So 1 m = 100 cm.

f. 3 m = 300cm,

Explanation:
3 m is equal to 3 X 10²centimeter,
3 m = 3 X 10 X 10 = 100 centimeter,
So 3 m = 300 cm.

g. 80 m = 8000 cm,

Explanation:
80 m is equal to 80 X 10²centimeter,
80 m = 80 X 10 X 10 = 8000 centimeter,
So 80 m = 8000 cm.

h. 120 m = 12,000 cm,

Explanation:
120 m is equal to 120 X 10²centimeter,
120 m = 120 X 10 X 10 = 12,000 centimeter,
So 120 m = 12,000 cm.

Question 2.
Convert the measurements.
a. 3 km 312 m = _____3,312__________ m
b. 13 km 27 m = ______13,027_________ m
c. 915 km 8 m = _______9,15,008________ m
d. 3 m 56 cm = ________3,56_______ cm
e. 14 m 8 cm = _________1,408______ cm
f. 120 m 46 cm = _______12,046________ cm

a. 3 km 312 m = 3,312 m,

Explanation:
As we know 1 km is equal to 10³meter,
So 3 km 312 m = 3 X 10³+ 312 = 3,312 meter,
Therefore 3 km 312 m = 3,312 m.

b. 13 km 27 m = 13,027 m,

Explanation:
As we know 1 km is equal to 10³meter,
So 13 km 27 m = 13 X 10³+ 27 = 13,027 meter,
Therefore 13 km 27 m = 13,027 m.

c. 915 km 8 m = 9,15,008 m,

Explanation:
As we know 1 km is equal to 10³meter,
So 915 km 8 m = 915 X 10³+ 8 = 9,15,008 meter,
Therefore 915 km 8 m = 9,15,007 m.

d. 3 m 56 cm = 356 cm

Explanation:
As we know 1 m is equal to 10²centimeter,
3 m 56 cm = 3 X 10²+ 56 = 300 + 56 = 3,56 centimeter,
So 3 m 56 cm = 3,56 cm.

e. 14 m 8 cm = 1,408 cm,

Explanation:
As we know 1 m is equal to 10²centimeter,
14 m 8 cm = 14 X 10²+ 8 = 1400 + 8 = 1,408 centimeter,
So 14 m 8 cm = 1,408 cm.

f. 120 m 46 cm = 12,046 cm,

Explanation:
As we know 1 m is equal to 10²centimeter,
120 m 46 cm = 120 X 10²+ 46 = 12000 + 46 = 12,046 centimeter,
So 120 m 46 cm = 12,046 cm.

Eureka Math Grade 4 Module 2 Lesson 1 Exit Ticket Answer Key

Question 1.
Complete the conversion table.

Distance
71 km	___71,000___ m
______30____ km	30,000 m
81 m	____8,100______ cm
____4______ m	400 cm

Explanation:
71 km is equal to 71 X 10³= 71 X 1000 = 71,000 m,
so 71 km = 71,000 m.

30 km is equal to 30 X 10³= 30 X 1000 = 30,000 m,
so 30 km = 30,000 m.

81 m is equal to 81 X 10²= 81 X 100 = 8,100 cm,
so 81 m = 8,100 cm.

4 m is equal to 4 X 10²= 4 X 100 = 400 cm,
so 4 m = 400 cm.

Eureka Math Grade 4 Module 2 Lesson 1 Homework Answer Key

Question 1.
Find the equivalent measures.
a. 5 km = ______5,000_________ m
b. 13 km = _____13,000__________ m
c. _____17__________ km = 17,000 m
d. 60 km = ______60,000_________ m
e. 7 m = ________700_______ cm
f. 19 m = _______1,900________ cm
g. ______24_________ m = 2,400 cm
h. 90 m = _____9,000______ cm

a. 5 km = 5000 m,

Explanation:
1 km is equal to 10³meter,
5 km = 5 X 10 X 10 X 10 = 5000 meter,
So 5 km = 5000 m.

b. 13 km = 13,000 km,

Explanation:
1 km is equal to 10³meter,
13 km = 13 X 10 X 10 X 10 = 13000 meter,
So 13 km = 13,000 m.

c. _______________ km = 17,000 m,
17 km = 17,000 m,

Explanation:
1 m is equal to 1 ÷ 10³km,
17,000 m = 17,000 ÷ 10 X 10 X 10 = 17000 ÷ 1000 = 17 km,
So 17 km = 17,000 m.

d. 60 km = 60,000 m,

Explanation:
1 km is equal to 10³meter,
60 km = 60 X 10 X 10 X 10 = 60,000 meter,
So 60 km = 60,000 m.

e. 7 m = 700 cm,

Explanation:
1 m is equal to 10²centimeter,
7 m = 7 X 10 X 10 = 700 centimeter,
So 7 m = 700 centimeter.

f. 19 m = 1,900 cm,

Explanation:
1 m is equal to 10²centimeter,
19 m = 19 X 10 X 10 = 1,900 centimeter,
So 19 m = 1,900 centimeter.

g. ____________ m = 2,400 cm,

Explanation:
1 cm is equal to 1 ÷ 10²m,
2,400 cm = 2,400 ÷ 10 X 10 = 2400 ÷ 100 = 24 m,
So 24 m = 2,400 cm.

h. 90 m = 9,000 cm,

Explanation:
90 m is equal to 10²centimeter,
90 m = 90 X 10 X 10 = 9,000 centimeter,
So 90 m = 9,000 centimeter.

Question 2.
Find the equivalent measures.
a. 7 km 123 m = _______7,123________ m
b. 22 km 22 m = ______22,022_________ m
c. 875 km 4 m = _______875,004________ m
d. 7 m 45 cm = _______745________ cm
e. 67 m 7 cm = ________6707_______ cm
f. 204 m 89 cm = ____204,89__________ cm

a. 7 km 123 m = 7,123 m,

Explanation:
1 km is equal to 10³meter,
7 km 123 m = 7 X 10 X 10 X 10 + 123 = 7,000 + 123 = 7,123 meter,
So, 7 km 123 m = 7,123 m.

b. 22 km 22 m = 22,022 m,

Explanation:
1 km is equal to 10³meter,
22 km 22 m = 22 X 10 X 10 X 10 + 22 = 22,000 + 22 = 22,022 meter,
So, 22 km 22 m = 22,022 m.

c. 875 km 4 m = 875,004 m,

Explanation:
1 km is equal to 10³meter,
875 km 4 m = 875 X 10 X 10 X 10 + 4 =
875,000 + 4 = 875004 meter,
So, 875 km 4 m = 875,004 m.

d. 7 m 45 cm =745 cm,

Explanation:
1 m is equal to 10²meter,
7 m 45 cm = 7 X 10 X 10 + 45 = 745 cm,
So, 7 m 45 cm =745 cm.

e. 67 m 7 cm = 6,707 cm,

Explanation:
1 m is equal to 10²meter,
67 m 7 cm = 67 X 10 X 10 + 7 = 6700 + 7 = 6,707 cm,
So, 67 m 7 cm = 6,707 cm.

f. 204 m 89 cm = 204,89 cm,

Explanation:
1 m is equal to 10²meter,
204 m 89 cm = 204 X 10 X 10 + 89 = 20400 + 89 = 204,89 cm,
So, 204 m 89 cm = 204,89 cm.

Question 3.
Solve.
a. 2 km 303 m – 556 m
b. 2 m – 54 cm
c. Express your answer in the smaller unit:
338 km 853 m + 62 km 71 m
d. Express your answer in the smaller unit:
800 m 35 cm – 154 m 49 cm
e. 701 km – 523 km 445 m
f. 231 km 811 m + 485 km 829 m

Use a tape diagram to model each problem. Solve using a simplifying strategy or an algorithm, and write your answer as a statement.

a. 2 km 303 m – 556 m
2 km 303 m – 556 m = 1,747 m,

2 kilometers 303 m minus 556 meters is equal to 1,747 meters,

Explanation:
Given 2 km 303 m − 556 m as
2 km 303 m = 2 X 10³m + 303 m = 2,303 m,
Used a tape diagram to model 2,303 m – 556 m = 1,747 m
as shown above in the picture,
2303 m
– 556 m
1,747 m
Statement is 2 kilometers 303 m minus 556 meters is
equal to 1,747 meters.

b. 2 m – 54 cm
2 m – 54 cm = 146 cm,

2 meters minus 54 cm is equal to 146 centimeters,

Explanation:
Given 2 m − 54 cm as
2 m = 2 X 10²cm so 200 cm – 54 cm = 146 cm,
Used a tape diagram to model 200 cm – 54 cm = 146 cm
as shown above in the picture,
200 cm
– 54 cm
146 cm
Statement is 2 meters minus 54 centimeters is
equal to 146 centimeters.

c. Express your answer in the smaller unit:
338 km 853 m + 62 km 71 m,
338 km 853 m + 62 km 71m = 400,924 m
or 400,924,000 mm,

338 kilometer and 853 meters plus 62 kilometers and
71 meters is 400,924 meters or 400,924,000 millimeters,

Explanation:
Given 338 km 853 m + 62 km 71 m as
338 km 853 m = 338 X 10³+ 853 = 338000 + 853 = 338853 m
and 62 km 71 m = 62 X 10³+ 71 =62000 + 71 m = 62071 m
Used a tape diagram to model 338853 m + 62071 m = 400,924 m
as shown above in the picture,
338853 m
+62071 m
400,924 m
Now 400,924 m in the smaller unit in millimeter is as
1 meter is equal to 1000 millimeter,
So 400,924 X 1000 = 400,924,000 millimeters.
Statement : 338 kilometer and 853 meters plus 62 kilometers and
71 meters is 400,924 meters or 400,924,000 millimeters,

d. Express your answer in the smaller unit:
800 m 35 cm – 154 m 49 cm
800 m 35 cm – 154 m 49 cm = 64,586 cm
or 645,860 millimeter,

800 meter and 35 centimeters minus 154 meters
49 centimeters gives 645,860 millimeters,

Explanation:
Given 800 m 35 cm – 154 m 49 cm as
800 m 35 cm = 800 X 10²+ 35 = 80000 + 35 = 80,035 cm
and 154 m 49 cm = 154 X 10²+ 49 =15,449 cm
Used a tape diagram to model 80,035 cm – 15,449 cm =
64,586 cm as shown above in the picture,
80,035 cm
– 15449 cm
64,586 cm
Now 64,586 cm in the smaller unit millimeters is as
1 centimeter is equal to 10 millimeter,
So 64,586 X 10 = 645,860 millimeters.
Statement : 800 meter and 35 centimeters minus 154 meters
49 centimeters gives 64,586 cm or 645,860 millimeters.

e. 701 km – 523 km 445 m
701 km – 523 km 445 m =

701 kilometers minus 523 kilometers 445 meters
is equal to 177,555 meters,

Explanation:
Given 701 km − 523 km 445 m,
701 km = 701 X 10³m = 701000 m,
and 523 km 445 m = 523 X 10³m + 445 m = 523445 m
Used a tape diagram to model 701000 m – 523445 m = 177,555 m
as shown above in the picture,
701000 m
-523445 m
177,555 m
Statement is 701 kilometers minus 523 kilometers 445 meters
is equal to 177,555 meters.

f. 231 km 811 m + 485 km 829 m
231 km 811 m + 485 km 829 m = 717,640 m,

231 kilometers 811 meters plus 485 kilometers 829 meters
is equal to 717,640 meters,

Explanation:
Given 231 km 811 m + 485 km 829 m,
231 km 811 m = 231X 10³m =231000 m + 811 m = 231811m
and 485 km 829 m = 485 X 10³m + 829 m = 485829 m
Used a tape diagram to model 231811 m + 485829 m = 717640 m
as shown above in the picture,
231811 m
+485829 m
717640 m
Statement is 231 kilometers 811 meters plus
485 kilometers 829 meters is equal to 717,640 meters,

Question 4.
The length of Celia’s garden is 15 m 24 cm. The length of her friend’s garden is 2 m 98 cm more than Celia’s. What is the length of her friend’s garden?

Answer:
The length of Celia’s friend garden is 1822 cm or 18 m 22 cm,

Explanation:
Given the length of Celia’s garden is 15 m 24 cm,
the length of her friend’s garden is 2 m 98 cm
more than Celia’s. Sothe length of her friend’s garden
is 15 m 24 cm + 2 m 98 cm =
1 m = 10²cm, 15 m 24 cm = 15 X 10²+ 24 cm =
1500 + 24 = 1524 cm and 2 m 98 cm = 2 X 10²+ 98 cm =
200 + 98 = 298 cm, Now 1524 cm + 298 cm =
1524 cm
+298 cm
1822 cm
Therefore, the length of Celia’s friend garden is
1822 cm or 18 m 22 cm.

Question 5.
Sylvia ran 3 km 290 m in the morning. Then, she ran some more in the evening. If she ran a total of 10 km, how far did Sylvia run in the evening?

Answer:
Sylvia ran 6 km 710 m or 6710 m in the evening,

Explanation:
Sylvia ran 3 km 290 m in the morning. Then, she ran some more in the evening. If she ran a total of 10 km,
So Sylvia ran in the evening is 10 km – 3 km 290 m =
as 1 km = 10³m so 10 km = 10000 m and 3 km 290 m =
3 X 10³m + 290 m =3290 m
10000 m
-3290 m
6710 m
Therefore, Sylvia ran 6 km 710 m or 6710 m in the evening.

Question 6.
Jenny’s sprinting distance was 356 meters shorter than Tyler’s. Tyler sprinted a distance of 1 km 3 m. How many meters did Jenny sprint?

Answer:
Jenny sprint distance is 647 m,

Explanation:
Given Jenny’s sprinting distance was 356 meters
shorter than Tyler’s. Tyler sprinted a distance of 1 km 3 m.
So number of meters did Jenny sprint is 1 km 3 m – 356 m =
1 km = 10³m so 1 km 3 m = 1 X10³m +3 m = 1000 + 3 = 1003 m,
Now 1003 m – 356 m
1003 m
-356 m
647 m
Therefore, Jenny sprint distance is 647 m.

Question 7.
The electrician had 7 m 23 cm of electrical wire. He used 551 cm for one wiring project. How many centimeters of wire does he have left?

Answer:
The electrician is left with 172 cm electrical wire,

Explanation:
Given the electrician had 7 m 23 cm of electrical wire.
He used 551 cm for one wiring project.
So number of centimeters of wire left is
7 m 23 cm – 551 cm =
as 1 m = 10²cm So 7 m 23 cm = 7 X10²+ 23 =
700 + 23 = 723 cm – 551 cm =
723 cm
-551 cm
172 cm
Therefore, the electrician is left with 172 cm electrical wire.

Eureka Math Grade 4 Module 2 Answer Key

Eureka Math Grade 4 Module 2 Lesson 1 Answer Key (2024)

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