eureka math grade 4 module 2 lesson 3 homework answers

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Eureka Math Grade 4 Module 2 Lesson 3 Answer Key

Engage ny eureka math 4th grade module 2 lesson 3 answer key, eureka math grade 4 module 2 lesson 3 problem set answer key.

Question 1. Complete the conversion table.

Explanation: Completed the conversion table as shown above, We know 1 liter  = 10 3 or 1000 ml, So 1 L = 1,000 mL .

5 L = 5,000 mL, 5 L = 5 X 1000 mL= 5,000 mL .

38 L = 38,000 mL, 38 L = 38 X 1000 mL= 38,000 mL .

49 L = 49,000 ml, 49 L = 49 X 1000 mL = 49,000 mL .

54,000 mL = 54 L, as 54,000 mL ÷ 1000 mL = 54 L.

92,000 mL = 92 L, as 92,000 mL ÷ 1000 mL = 92 L.

Question 2. Convert the measurements. a. 2 L 500 mL = ______2,500_______ mL b. 70 L 850 mL = _____70,850________ mL c. 33 L 15 mL = ______33,015_______ mL d. 2 L 8 mL = ______2,008_______ mL e. 3,812 mL = __3___ L ___812____ mL f. 86,003 mL = __86___ L __003_____ mL

a. 2 L 500 mL = 2,500 mL,

Explanation: 2 L 500 mL as 1 L = 10 3 mL = 1000 mL, 2 X 1000 mL + 500 mL= 2,500 mL .

b. 70 L 850 mL = 70,850 mL,

Explanation: 70 L 850 mL as 1 L = 10 3 mL = 1000 mL, 70 X 1000 mL + 850 mL = 70,850 mL .

c. 33 L 15 mL = 33,015 mL,

Explanation: 33 L 15 mL as 1 L = 10 3 mL = 1000 mL, 33 X 1000 mL + 15 mL = 33,015 mL .

d. 2 L 8 mL = 2,008 mL,

Explanation: 2 L 8 mL as 1 L = 10 3 mL = 1000 mL, 2 X 1000 mL + 8 mL = 2,008 mL .

e. 3,812 mL = 3 L 812 mL,

Explanation: 3,812 mL as 1 L = 10 3 mL = 1000 mL, 3,812 ÷ 1000 mL = 3 L 812 mL .

f. 86,003 mL = 86 L 003 mL,

Explanation: 86,003 mL as 1 L = 10 3 mL = 1000 mL, 86,003 ÷ 1000 mL = 86 L 003 mL .

Question 3. Solve. a. 1,760 mL + 40 L b. 7 L – 3,400 mL c. Express the answer in the smaller unit: 25 L 478 mL + 3 L 812 mL d. Express the answer in the smaller unit: 21 L – 2 L 8 mL e. Express the answer in mixed units: 7 L 425 mL – 547 mL f. Express the answer in mixed units: 31 L 433 mL – 12 L 876 mL

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

Statement : one thousand seven hundred sixty liter plus forty liter is equal to forty one liter seven hundred sixty milliliter or forty one thousand seven hundred and sixty milliliters.

Explanation: Given  1,760 mL + 40 L = as 40 L = 40 X 1000 mL = 40,000 mL, 40,000 mL +1760 mL 41,760 mL Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement one thousand seven hundred sixty liter plus forty liter is equal to forty one liter seven hundred sixty milliliter or forty one thousand seven hundred and sixty milliliters.

Explanation: Given  7 L – 3,400 mL = as 7 L = 7 X 1000 mL = 7,000 mL, 7,000 mL -3,400 mL 3,600 mL Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement seven liter minus three thousand four hundred milliliter is equal to three thousand six hundred milliliters or three liters six hundred milliliter.

Statement : twenty five liter and four hundred seventy eight milliliters plus three liters eight hundred and twelve milliliters  is equal to twenty nine liter and two ninety milliliter or twenty nine thousand and two ninety milliliters,

Explanation: Given  25 L 478 mL + 3 L 812 mL = As 25 L  478 mL = 25 X 1000 mL + 478 mL = 25000 mL + 478 mL = 25478 mL, 3 L 812 mL = 3 X 1000 mL + 812 mL = 3000 mL + 812 mL = 3812 mL, 25,478 mL +3812 mL 29,290 mL The smaller unit as 1 liter is equal to 1,000 milliliter, So 29,290 mL = 29,290 ÷ 1000 = 29 L 290 mL,  Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement twenty five liter and four hundred seventy eight milliliters plus three liters eight hundred and twelve milliliters  is equal to twenty nine liter and two ninety milliliter or twenty nine thousand and two ninety milliliters.

Explanation: Given  21 L – 2 L 8 mL = As 21 L = 21 X 1000 mL = 21,000 mL, 2 L 8 mL = 2 X 1000 mL + 8 mL = 2000 mL + 8 mL = 2,008 mL, 21,000 mL -2,008 mL 18,992 mL The smaller unit as 1 liter is equal to 1,000 milliliter, So 18,992 mL = 18,992 ÷ 1000 = 18 L 992 mL,  Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement twenty one liter minus two liters and and eight milliliters is equal to eighteen liter and nine hundred ninety two milliliter or eighteen thousand and nine hundred ninety two milliliters.

Explanation: Given  7 L 425 mL – 547 mL = As 7 L 425 mL = 7 X 1000 mL + 425 mL = 7000 mL + 425 mL = 7,425 mL 7,425 mL -547 mL 6,878 mL The answer in mixed units is So 6,878 mL = 6878 ÷ 1000 = 6 L 878 mL,  Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement seven liter four hundred twenty five milliliters minus five hundred and forty seven milliliters is equal to six thousand and eight hundred seventy eight milliliters or six liters and eight hundred seventy eight milliliters.

Explanation: Given 31 L 433 mL – 12 L 876 mL As 31 L 433 mL = 31 X 1000 mL + 433 mL = 31000 mL + 433 mL = 31,433 mL and 12 L 876 mL = 12 X 1000 mL + 876 mL = 12000 mL + 876 mL = 12,876 mL, 31,433 mL -12,876 mL 18,557 mL The answer in mixed units is So 18,557 mL = 18,557 ÷ 1000 = 18 L 557 mL,  Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement  thirty one liter four hundred thirty three milliliters minus twelve liters and eight hundred and seventy six milliliters is equal to  eighteen thousand and five hundred fifty seven milliliters or eighteen liters and five hundred fifty seven milliliters.

Question 4. To make fruit punch, John’s mother combined 3,500 milliliters of tropical drink, 3 liters 95 milliliters of ginger ale, and 1 liter 600 milliliters of pineapple juice. a. Order the quantity of each drink from least to greatest. b. How much punch did John’s mother make?

a. The quantity of order of each drink from least to greatest is 1,600 mL pineapple <  3,095 mL ginger ale < 3,500 mL tropical drink,

Explanation: Given John’s mother combined 3,500 milliliters of tropical drink, 3 liters 95 milliliters of ginger ale and 1 liter 600 milliliters of pineapple juice. As 3 L 95 mL = 3 X 1000 mL + 95 mL = 3,095 mL ginger ale, 1 L 600 mL = 1 X 1000 mL + 600 mL = 1,600 mL pineapple, Now all are in milliliters comparing we get 1,600 mL pineapple < 3,095 mL ginger ale < 3,500 mL tropical drink Therefore, The quantity of order of each drink from least to greatest is 1,600 mL pineapple < 3,095 mL ginger ale < 3,500 mL tropical drink.

b. John’s mother has made 8,195 mL of fruit punch or 8 L 195 mL,

Explanation: Given John’s mother combined 3,500 milliliters of tropical drink, 3 liters 95 milliliters of ginger ale and 1 liter 600 milliliters of pineapple juice. As 3 L 95 mL = 3 X 1000 mL + 95 mL = 3,095 mL ginger ale, 1 L 600 mL = 1 X 1000 mL + 600 mL = 1,600 mL pineapple, now in total we have 3,500 mL + 3,095 mL + 1,600 mL = 3,500 mL 3,095 mL +1,600 mL 8,195 mL or 8,195 ÷ 1000 = 8 L 195 mL . Therefore, John’s mother has made 8,195 mL of fruit punch or 8 L 195 mL .

Question 5. A family drank 1 liter 210 milliliters of milk at breakfast. If there were 3 liters of milk before breakfast, how much milk is left?

Milk left is 1,790 mL or 1 L 790 mL,

Explanation: Given A family drank 1 liter 210 milliliters of milk at breakfast. If there were 3 liters of milk before breakfast, So milk left is 3 L – 1 L 210 mL = as  3 L = 3 X 1000 mL = 3000 mL and 1 L 210 mL = 1 X 1000 mL + 210 mL = 1,210 mL, now 3000 mL – 1,210 mL = 3000 mL -1,210 mL 1,790 mL or 1,790 ÷ 1000 = 1 L 790 mL, Therefore, Milk left is 1,790 mL or 1 L 790 mL .

Explanation: Given Petra’s fish tank contains 9 liters 578 milliliters of water. If the capacity of the tank is 12 liters 455 milliliters of water, So more milliliters of water does she needs to fill the tank is 12 L 455 mL – 9 L 578 mL = as 12 L 455 mL = 12 X 1000 mL + 455 mL = 12,455 mL, 9 L 578 mL = 9 X 1000 mL + 578 mL = 9,578 mL, 12,455 mL – 9,578 mL 2,877 mL Therefore, Petra’s need more 2,877 milliliters of water to fill the tank.

Eureka Math Grade 4 Module 2 Lesson 3 Exit Ticket Answer Key

Question 1. Convert the measurements. a. 6 L 127 mL = ____6,127___ mL b. 706 L 220 mL = ___706,220__ mL c. 12 L 9 mL = ____12,009______mL d. ___906___ L __010_____ mL = 906,010 mL

a. 6 L 127 mL 6 L 127 mL = 6,127 mL

Explanation: 6 L 127 mL = 6 X 1000 mL + 127 mL = 6,127 mL .

b. 706 L 220 mL = 706 L 220 mL = 706,220 mL,

Explanation: 706 L 220 mL = 706 X 1000 mL + 220 mL = 706,220 mL .

c. 12 L 9 mL = 12 L 9 mL = 12,009 mL, Explanation:

12 L 9 mL = 12 X 1000 mL + 9 mL = 12000 mL  + 9 mL = 12,009 mL .

d. ____________= 906,010 mL, 906 L 010 mL = 906,010 mL,

Explanation: ____________= 906,010 mL, As 906,010 mL ÷ 1000 = 906 L 010 mL .

Question 2. Solve. 81 L 603 mL – 22 L 489 mL

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

Explanation: 81 L 603 mL – 22 L 489 mL as 81 L 603 mL = 81 X 1000 mL + 603 mL = 81,603 mL and 22 L 489 mL = 22 X 1000 mL + 489 mL = 22,489 mL 81,603 mL -22,489 mL 59,114 mL  or 59,114 ÷ 1000 = 59 L 114 mL, Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement eighty one liter and six hundred three milliliters minus twenty two liters four hundred eighty nine milliliter is equal to fifty nine thousand one hundred fourteen milliliters or fifty nine liters and one hundred fourteen milliliters.

Question 3. The Smith’s hot tub has a capacity of 1,458 liters. Mrs. Smith put 487 liters 750 milliliters of water in the tub. How much water needs to be added to fill the hot tub completely?

Smith needs to add 970,250 milliliters or 970 L 250 mL of water to completely fill the hot tub,

Explanation: Given the Smith’s hot tub has a capacity of 1,458 liters. Mrs. Smith put 487 liters 750 milliliters of water in the tub. Water needed to be added to fill the hot tub completely is 1,458 liters – 487 liters 750 milliliters = as 1,458 liters = 1,458 X 1000 mL = 1,458,000 mL and 487 liters 750 milliliters = 487 X 1000 mL + 750 mL = 487000 mL + 750 mL = 487,750 mL, So 1,458,000 mL -487,750 mL 970,250 mL or 970,250 ÷ 1000 = 970 L 250 mL, Therefore, Smith needs to add 970,250 milliliters or 970 L 250 mL of water to completely fill the hot tub.

Eureka Math Grade 4 Module 2 Lesson 3 Homework Answer Key

8 L = 8,000 mL, 8 L = 8 X 1000 mL= 8,000 mL .

27 L = 27,000 mL, 27 L = 27 X 1000 mL= 27,000 mL .

39,000 mL = 39 L, as 39,000 mL ÷ 1000 mL = 39 L.

68 L = 68,000 ml, 68 L = 68 X 1000 mL = 68,000 mL .

102,000 mL = 102 L, as 102,000 mL ÷ 1000 mL = 102 L.

Question 2. Convert the measurements. a. 5 L 850 mL = ______5,850_______ mL b. 29 L 303 mL = _____29,303________ mL c. 37 L 37 mL = _____37,037________ mL d. 17 L 2 mL = ______17,002_______ mL e. 13,674 mL = __13___ L __674____ mL f. 275,005 mL = __275___ L __005____ mL

a. 5 L 850 mL = 5,850 mL,

Explanation: 5 L 850 mL as 1 L = 10 3 mL = 1000 mL, 5 X 1000 mL + 850 mL= 5,850 mL .

b. 29 L 303 mL = 29,303 mL,

Explanation: 29 L 303 mL as 1 L = 10 3 mL = 1000 mL, 29 X 1000 mL + 303 mL = 29 mL .

c. 37 L 37 mL = 37,037 mL,

Explanation: 37 L 37 mL as 1 L = 10 3 mL = 1000 mL, 37 X 1000 mL + 37 mL = 37,037 mL .

d. 17 L 2 mL= 17,002 mL,

Explanation: 17 L 3 mL as 1 L = 10 3 mL = 1000 mL, 17 X 1000 mL + 3 mL = 17,003 mL .

e. 13,674 mL  = 13 L 674 mL,

Explanation: 13,674 mL as 1 L = 10 3 mL = 1000 mL, 13,674 ÷ 1000 mL = 13 L 674 mL .

f. 275,005 mL = 275 L 005 mL,

Explanation: 275,005 mL as 1 L = 10 3 mL = 1000 mL, 275,005 ÷ 1000 mL = 275 L 005 mL .

Question 3. Solve. a. 545 mL + 48 mL b. 8 L – 5,740 mL c. Express the answer in the smaller unit: 27 L 576 mL + 784 mL d. Express the answer in the smaller unit: 27 L + 3,100 mL e. Express the answer in mixed units: 9 L 213 mL – 638 mL f. Express the answer in mixed units: 41 L 724 mL – 28 L 945 mL

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  545 mL + 48 mL = 545 mL +48 mL 593 mL Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement five hundred forty five milliliter plus forty eight milliliter is equal to five hundred ninety three milliliters.

Explanation: Given  8 L – 5,740 mL = as 8 L = 8 X 1000 mL = 8,000 mL, 8,000 mL -5,740 mL 2,260 mL or 2,260 ÷ 1000 = 2 L 260 mL, Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement eight liters minus five thousand seven hundred forty milliliter is equal to two thousand two hundred sixty milliliters or two liters two hundred sixty milliliter.

Explanation: Given  27 L 576 mL + 784 mL = As 27 L  576 mL = 27 X 1000 mL + 576 mL = 27000 mL + 576 mL = 27,576 mL, 27,576 mL + 784 mL 28,360 mL The smaller unit as 1 liter is equal to 1,000 milliliter, So 28,360 mL = 28,360 ÷ 1000 = 28 L 360 mL,  Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement twenty seven liter and five hundred seventy six milliliters plus seven hundred eighty four milliliters is equal to twenty eight liter and and three hundred sixty milliliter or twenty eight thousand and three hundred sixty milliliters.

Explanation: Given  27 L + 3,100 mL = As 27 L = 27 X 1000 mL = 27,000 mL, 27,000 mL +3,100 mL 30,100 mL The smaller unit as 1 liter is equal to 1,000 milliliter, So 30,100 mL = 30,100 ÷ 1000 = 30 L 100 mL,  Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement twenty seven liter plus three liters and one hundred milliliters is equal to thirty liter and one hundred milliliters or thirty thousand and one hundred milliliters.

Explanation: Given  9 L 213 mL – 638 mL = As 9 L 213 mL = 9 X 1000 mL + 213 mL = 9000 mL + 213 mL = 9,213 mL 9213 mL – 638 mL 8,575 mL The answer in mixed units is 8,575 mL = 8,575 ÷ 1000 = 8 L 575 mL,  Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement nine liter two hundred thirteen milliliters minus six hundred and thirty eight milliliters is equal to eight thousand and five hundred seventy five milliliters or eight liters and five hundred seventy five milliliters.

Explanation: Given  41 L 724 mL – 28 L 945 mL = As 41 L 724 mL = 41 X 1000 mL + 724 mL = 41000 mL + 724 mL = 41,724 mL and 28 L 945 mL = 28 X 1000 mL + 945 mL = 28000 mL + 945 mL = 28,945 mL, 41,724 mL -28,945 mL 12,779 mL The answer in mixed units is 12,779 mL = 12,779 ÷ 1000 = 12 L 779 mL,  Used a tape diagram to model the problem. Solved using a simplifying strategy and wrote my answer as a statement forty one liter seven hundred twenty four milliliters minus twenty eight liter nine hundred and forty five milliliters is equal to  twelve thousand and seven hundred seventy nine milliliters or twelve liters and seven hundred seventy nine milliliters.

Question 4. Sammy’s bucket holds 2,530 milliliters of water. Marie’s bucket holds 2 liters 30 milliliters of water. Katie’s bucket holds 2 liters 350 milliliters of water. Whose bucket holds the least amount of water?

Answer: Marie’s bucket holds the least amount of water of 2 liters 30 milliliters or 2,030 mL of water,

Explanation: Given Sammy’s bucket holds 2,530 milliliters of water. Marie’s bucket holds 2 liters 30 milliliters of water. Katie’s bucket holds 2 liters 350 milliliters of water. The least amount of water bucket is Sammy’s bucket 2,530 mL, Marie’s bucket 2 L 30 mL means 2 X 1000 mL + 30 mL = 2,030 mL and Katie’s bucket holds 2 L 350 mL = 2 X 1000 mL + 350 mL = 2,350 mL, Now upon comparing 2,030 mL < 2,350 mL < 2,530 mL, Marie < Katie < Sammy’s , So Marie’s bucket holds the least amount of water of 2 liters 30 milliliters or 2,030 mL of water.

Question 5. At football practice, the water jug was filled with 18 liters 530 milliliters of water. At the end of practice, there were 795 milliliters left. How much water did the team drink?

Answer: The team drank 17,735 milliliters or 17 liters 735 milliliters,

Explanation: At football practice, the water jug was filled with 18 liters 530 milliliters of water. At the end of practice, there were 795 milliliters left. So amount of water did the team drank is 18 L 530 mL – 795 mL, 18 L 530 mL = 18 X 1000 mL + 530 mL = 18,530 mL, 18,530 mL –   795 mL 17,735 mL or 17,735 ÷ 1000 = 17 L 735 mL Therefore, the team drank 17,735 milliliters or 17 liters 735 milliliters.

Question 6. 27,545 milliliters of gas were added to a car’s empty gas tank. If the gas tank’s capacity is 56 liters 202 milliliters, how much gas is needed to fill the tank?

Answer: Gas needed to fill the tank is 28,657 milliliters or 28 liters 657 milliliters,

Explanation: Given 27,545 milliliters of gas were added to a car’s empty gas tank. If the gas tank’s capacity is 56 liters 202 milliliters, The gas needed to fill the tank is 56 L 202 mL – 27,545 mL = as 56 L 202 mL = 56 X 1000 mL + 202 mL = 56,202 mL, 56,202 mL -27,545 mL 28,657 mL or 28,657 ÷ 1000 = 28 L 657 mL Therefore, Gas needed to fill the tank is 28,657 milliliters or 28 liters 657 milliliters.

Eureka Math Grade 4 Module 2 Answer Key

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4th grade (Eureka Math/EngageNY)

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