eureka math grade 4 lesson 2 homework 4.2

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Eureka math. Grade 4

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Eureka Math Grade 4 Module 2 Lesson 1 Answer Key

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 10 3 meter, 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 10 3 meter, 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 10 3 meter, 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 10 3 meter, 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 10 2 centimeter, 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 10 2 centimeter, 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 10 2 centimeter, 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 10 2 centimeter, 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 10 3 meter, So 3 km 312 m = 3 X 10 3 + 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 10 3 meter, So 13 km 27 m = 13 X 10 3 + 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 10 3 meter, So 915 km 8 m = 915 X 10 3 + 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 10 2 centimeter, 3 m 56 cm = 3 X 10 2 + 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 10 2 centimeter, 14 m 8 cm = 14 X 10 2 + 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 10 2 centimeter, 120 m 46 cm = 120 X 10 2 + 46 = 12000 + 46 = 12,046 centimeter, So 120 m 46 cm = 12,046 cm.

Question 3. Solve. a. 4 km − 280 m b. 1 m 15 cm – 34 cm c. Express your answer in the smaller unit: 1 km 431 m + 13 km 169 m d. Express your answer in the smaller unit: 231 m 31 cm − 14 m 48 cm e. 67 km 230 m + 11 km 879 m f. 67 km 230 m − 11 km 879 m

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

Explanation: Given 4 km − 280 m as 4 km = 4 X 10 3 m = 4,000 m, Used a tape diagram to model 4 km – 280 m = 3,720 m as shown above in the picture, so 4000 m      -280 m      3,720 m Statement is 4 kilometers minus 280 meters is equal to 3,720 meters.

Explanation: Given 1 m 15 cm − 34 cm as 1 m 15 cm = 1 X 10 2 + 15 = 100 + 15 = 115 cm, Used a tape diagram to model 115 cm – 34 cm = 81 cm as shown above in the picture, so 115 cm      – 34 cm         81 cm Statement is 1 meter 15 centimeters minus 34 centimeters is equal to 81 centimeters.

Explanation: Given 1 km 431 m + 13 km 169 m as 1 km 431 m = 1 X 10 3 + 431 = 1000 + 431 = 1,431 m and 13 km 169 m = 13 X 10 3 + 169 =13,169 m Used a tape diagram to model 1431 m + 13169 m = 14,600 m as shown above in the picture, 001431 m +13169 m 14,600 m Now 14,600 m in the smaller unit in millimeter is as 1 meter is equal to 1000 millimeter, So 14,600 X 1000 = 14,600,000 millimeters. Statement : 1 kilometer and 431 meters plus 13 kilometers 169 meters gives 14,600,000 millimeters.

Explanation: Given 231 m 31 cm – 14 m 48 cm as 231 m 31 cm = 231 X 10 2 + 31 = 23100 + 31 = 23,131 cm and 14 m 48 cm = 14 X 10 2 + 48 =1,448 cm Used a tape diagram to model 23,131 cm – 1,448 cm = 21,683 cm as shown above in the picture, 23134 cm – 1448 cm 21,683 cm Now 21,683 cm in the smaller unit millimeters is as 1 centimeter is equal to 10 millimeter, So 21,683 X 10 = 216,830 millimeters. Statement : 231 meter and 31 centimeters minus 14 meters 48 centimeters gives 216,830 millimeters.

67 kilometer and 230 meters plus 11 kilometers and 879 meters is 79,109 meters,

Explanation: Given 67 km 230 m + 11 km 879 m as 67 km 230 m = 67 X 10 3 + 230 = 67000 + 230 = 67,230 m and 11 km 879 m = 11 X 10 3 + 879 =11,879 m Used a tape diagram to model 67230 m + 11879 m = 79,109 m as shown above in the picture, 67230 m +11879 m 79,109 m So  67 km 230 m + 11 km 879 m = 79,109 m, Statement : 67 kilometer and 230 meters plus 11 kilometers and 879 meters is 79,109 meters.

Explanation: Given 67 km 230 m – 11 km 879 m as 67 km 230 m = 67 X 10 3 + 230 = 67000 + 230 = 67,230 m and 11 km 879 m = 11 X 10 3 + 879 =11,879 m Used a tape diagram to model 67230 m – 11879 m = 55,351 m as shown above in the picture, 67230 m -11879 m 55,351 m So  67 km 230 m – 11 km 879 m = 55,351 m, Statement : 67 kilometer and 230 meters minus 11 kilometers and 879 meters is 55,351 meters.

Question 4. The length of Carter’s driveway is 12 m 38 cm. His neighbor’s driveway is 4 m 99 cm longer. How long is his neighbor’s driveway?

Answer: Neighbor’s drive is 17 m 37 cm or 1737 cm,

Explanation: Given The length of Carter’s driveway is 12 m 38 cm and his neighbor’s driveway is 4 m 99 cm longer. So neighbor’s drive is 12 m 38 cm plus 4 m 99 cm we know  1 m is equal to 10 2 centimeter, 12 m 38 cm = 12 X 10 2 + 38 = 1238 cm and 4 m 99 cm = 4 X 10 2 + 99 = 499 cm, now 1238 cm + 499 cm = 1238 cm +499 cm 1737 cm Therefore, Neighbor’s drive is 17 m 37 cm or 1737 cm.

Question 5. Enya walked 2 km 309 m from school to the store. Then, she walked from the store to her home. If she walked a total of 5 km, how far was it from the store to her home?

Answer: It is 2691 m from the store to her home,

Explanation: Given Enya walked 2 km 309 m from school to the store. Then, she walked from the store to her home. If she walked a total of 5 km, it is 5 km – 2 km 309m from the store to her home, So 5 km means 5 X 10 3  – (2 X 10 3 + 309) = 5000 m – 2309 m = 5000 m -2309 m 2691 m Therefore, It is 2691 m from the store to her home.

Question 6. Rachael has a rope 5 m 32 cm long that she cut into two pieces. One piece is 249 cm long. How many centimeters long is the other piece of rope?

Answer: The other piece of rope 283 cm long,

Explanation: Given Rachael has a rope 5 m 32 cm long that she cut into two pieces and one piece is 249 cm long. The other piece of rope is 5 m 32 cm minus 249 cm long, So, 5 m 32 cm – 249 cm = 5 X 10 2 + 32 – 249 = 532 – 249 = 283 cm, therefore, the other piece of rope 283 cm long.

Question 7. Jason rode his bike 529 fewer meters than Allison. Jason rode 1 km 850 m. How many meters did Allison ride?

Allison rode 2 km 379 meters or 2379 meters,

Explanation: Given Jason rode his bike 529 fewer meters than Allison. Jason rode 1 km 850 m. Number of meters Allison rode is 1 km 850 m + 529 m = 1 X 10 3 + 850 + 529 = 1850 + 529 = 2379 meters. Therefore Allison rode 2 km 379 meters or 2379 meters.

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

Question 1. Complete the conversion table.

Explanation: 71 km is equal to 71 X  10 3 = 71 X 1000 = 71,000 m, so 71 km = 71,000 m.

30 km is equal to 30 X 10 3 = 30 X 1000 = 30,000 m, so 30 km = 30,000 m.

81 m is equal to 81 X 10 2 = 81 X 100 = 8,100 cm, so 81 m = 8,100 cm.

4 m is equal to 4 X 10 2 = 4 X 100 = 400 cm, so 4 m = 400 cm.

Question 2. 13 km 20 m = ____13020___ m Answer: 13 km 20 m = 13,020 m

Explanation: Given 13 km 20 m as 1 km is equal to 10 3 m so 13 km 20 m = 13 X 10 3 + 20 m = 13 X 1000 + 20 = 13000 + 20 = 13020, therefore 13 km 20 m = 13,020 m.

Question 3. 401 km 101 m – 34 km 153 m = _366,948 m or 366 km 948 m__ Answer: 401 km 101 m – 34 km 153 m = 366,948 m or 366 km 948 m,

Explanation: Given 401 km 101 m – 34 km 153 m as 401 km 101 m = 401 X 10 3 + 101 = 401000 + 101 = 401,101 m and 34 km 153 m = 34 X 10 3 + 153 = 34153 m Now 401,101 – 34,153 = 401101 m -34153 m 366,948 m So, 401 km 101 m – 34 km 153 m = 366,948 m or 366 km 948 m.

Question 4. Gabe built a toy tower that measured 1 m 78 cm. After building some more, he measured it, and it was 82 cm taller. How tall is his tower now? Draw a tape diagram to model this problem. Use a simplifying strategy or an algorithm to solve and write your answer as a statement.

Explanation: Given Gabe built a toy tower that measured 1 m 78 cm. After building some more, he measured it, and it was 82 cm taller. So Gabe tower is 1 m 78 cm + 82 cm = 1 X 10 2 + 78 cm + 82 cm = 178 cm + 82 cm  = 178 cm + 82 cm 260 cm tall. Drawn a tape diagram to model this problem. Used a simplifying strategy to solve and wrote my statement as Gabe tower is 2 meter 60 centimeter tall or 260 centimeter tall.

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 10 3 meter, 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 10 3 meter, 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 ÷ 10 3 km, 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 10 3 meter, 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 10 2 centimeter, 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 10 2 centimeter, 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 ÷ 10 2 m, 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 10 2 centimeter, 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 10 3 meter, 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 10 3 meter, 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 10 3 meter, 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 10 2 meter, 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 10 2 meter, 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 10 2 meter, 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

Explanation: Given 2 km 303 m − 556 m as 2 km 303 m = 2 X 10 3 m + 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.

Explanation: Given 2 m − 54 cm as 2 m =  2 X 10 2 cm 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.

Explanation: Given 338 km 853 m + 62 km 71 m as 338 km 853 m = 338 X 10 3 + 853 = 338000 + 853 = 338853 m and 62 km 71 m = 62 X 10 3 + 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,

Explanation: Given 800 m 35 cm – 154 m 49 cm as 800 m 35 cm = 800 X 10 2 + 35 = 80000 + 35 = 80,035 cm and 154 m 49 cm = 154 X 10 2 + 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.

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 10 3 m = 701000 m, and 523 km 445 m = 523 X 10 3 m + 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.

Explanation: Given 231 km 811 m + 485 km 829 m, 231 km 811 m = 231 X 10 3 m =231000 m + 811 m = 231811m and 485 km 829 m = 485 X 10 3 m + 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. So the length of her friend’s garden is 15 m 24 cm + 2 m 98 cm = 1 m = 10 2 cm, 15 m 24 cm = 15 X 10 2 + 24 cm = 1500 + 24 = 1524 cm and 2 m 98 cm = 2 X 10 2 + 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 = 10 3 m so 10 km = 10000 m and 3 km 290 m = 3 X 10 3 m + 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 = 10 3 m so 1 km 3 m = 1 X 10 3 m +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 = 10 2 cm So 7 m 23 cm = 7 X 10 2 + 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

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