## Math Expressions Common Core Grade 5 Unit 8 Lesson 2 Answer Key Metric Units of Liquid Volume

**Math Expressions Grade 5 Unit 8 Lesson 2 Homework**

**Complete.**

Question 1.

5,811 mL = __________ L

Answer:

5,811 mL = 5.811 L.

Explanation:

Here, 1ml = 0.001 L,

So 5,811ml = 5,811 × 0.001

= 5.811 L.

Question 2.

297 L = __________ kL

Answer:

297 L = 0.297 kL.

Explanation:

Here, 1 L = 0.001 kL,

So 297 L = 297 × 0.001

= 0.297 kL.

Question 3.

1.09 kL = 1,090 __________

Answer:

1.09 kL = 1,090 L.

Explanation:

Here, 1 kL = 1000 L,

So 1.09 kL = 1.09 × 1000

= 1,090 L.

Question 4.

32,500 mL = __________ L

Answer:

32,500 mL = 32.5 L.

Explanation:

Here, 1 mL = 0.001 L,

So 32,500 mL = 32,500 × 0.001

= 32.5 L.

Question 5.

53.1 L = ___________ mL

Answer:

53.1 L = 53,100 mL.

Explanation:

Here, 1 L = 1000 mL,

So 53.1 L = 53.1 × 1000

= 53,100 mL.

Question 6.

5.66 L = ___________ mL

Answer:

5.66 L = 5,660 mL.

Explanation:

Here, 1 L = 1000 mL,

So 5.66 L = 5.66 × 1000

= 5,660 mL.

Question 7.

2,848 mL = __________ L

Answer:

2,848 mL = 2.848 L.

Explanation:

Here, 1 mL = 0.001 L,

So 2,848 mL = 2,848 × 0.001

= 2.848 L.

Question 8.

431 L = __________ kL

Answer:

431 L = 0.431 kL.

Explanation:

Here, 1 L = 0.001 kL,

So 431 L = 431 × 0.001

= 0.431 kL.

Question 9.

0.56 L = ___________ mL

Answer:

0.56 L = 560 mL.

Explanation:

Here, 1 L = 1000 mL,

So 0.56 L = 0.56 × 0.001

= 560 mL.

Question 10.

0.78 L = 780 ___________

Answer:

0.78 L = 780 mL.

Explanation:

Here, 1 L = 1000 mL,

So 0.78 L = 0.78 × 1000

= 780 mL.

**Solve.**

Question 11.

Jennifer made 5 L of punch for her party. Her brother made another 750 mL. If they combine the two batches, how many 180 mL servings would they have? Would there be any punch left over? If so, how much?

Answer:

There will be 31 servings with 170 mL leftover.

Explanation:

Given that Jennifer made 5 L which is 5 × 1000 = 5000 mL of punch for her party and her brother made another 750 mL. By combing both of them we will get 5000 + 750 = 5,750 mL, so the number of 180 mL servings would they have is 5,750 ÷ 180 = 31.94 which is about 31 servings. Yes, there would be 170 mL punch leftover. As 31 servings of 180 mL were served which is 31 × 180 = 5,580 mL and the total punch is 5,750 mL, so the remaining punch will be 5,750 – 5,580 which is 170 mL.

Question 12.

On an average day, a horse might drink 50 L, a sheep might drink 4 L, and a chicken might drink 200 mL. How much water would a farm with 3 horses, 15 sheep, and 12 chickens need for a day?

Answer:

The farm needs 212.4 L of water.

Explanation:

Given that a horse might drink 50 L, a sheep might drink 4 L, and a chicken might drink 200 mL which is 200 × 0.001 = 0.2 L on an average day. So the 3 horses, 15 sheep, and 12 chickens which is 50×3 = 150 L, 4×15 = 60 L, and 12×0.2 = 2.4 L. For one day the farm need 150 + 60 + 2.4 = 212.4 L of water.

Question 13.

Terrell has a water purifier for backpacking. It will purify 1 liter of water in 1. minute. How long would it take Terrell to purify enough water for 4 canteens that each hold 750 mL, and two that each hold 1.5 L?

Answer:

Question 14.

The Institute of Medicine determined that a man should drink 3 liters of fluids a day and a woman should drink 2.2 liters. Mr. Morrison drank 880 mL of water at breakfast and Mrs. Morrison drank 700 mL. How much more will they both need to drink combined to meet the recommended amounts for the day?

Answer:

They both needed to drink 3.62 L.

Explanation:

Given that a man should drink 3 liters of fluids a day and a woman should drink 2.2 liters, Mr. Morrison drank 880 mL which is 880 × 0.001 = 0.88 L of water at breakfast and Mrs. Morrison drank 700 mL which is 700 × 0.001 = 0.7 L. So Mr. Morrison needs to drink 3 L – 0.88 L = 2.12 L and Mrs. Morrison needs to drink 2.2 L – 0.7 L = 1.5 L. So they both needed to drink 2.12 L + 1.5 L = 3.62 L.

**Math Expressions Grade 5 Unit 8 Lesson 2 Remembering**

Suppose the cost of sugar changes at the rate shown in the table. Use the table to complete Exercises 1 and 2.

Question 1.

Write five ordered pairs that the data represent.

Answer:

(0,0),(1,1.40),(2,2.80),(3,4.20),(4,5.60).

Explanation:

The five ordered pairs that the data represent is (0,0),(1,1.40),(2,2.80),(3,4.20),(4,5.60).

Question 2.

Graph the ordered pairs. What does each axis of the graph represent? Title the graph and label each axis.

Answer:

Explanation:

Here, X-axis represents weight in pounds and Y-axis represents the cost in dollars.

**Complete the equation.**

Question 3.

14 m = _____ mm

Answer:

14 m = 14,000 mm.

Explanation:

Here, 1m = 1000 mm,

so 14 m = 14 × 1000

= 14,000 mm.

Question 4.

0.35 mm = _____ cm

Answer:

0.35 mm = 0.035 cm.

Explanation:

Here, 1 mm = 0.1 cm,

so 0.35 mm = 0.35 × 0.1

= 0.035 cm.

Question 5.

790 cm = _____ m

Answer:

790 cm = 7.9 m.

Explanation:

Here, 1 cm = 0.01 m,

so 790 cm = 790 × 0.01

= 7.9 m.

Question 6.

0.88 cm = _____ mm

Answer:

0.88 cm = 8.8 mm.

Explanation:

Here, 1 cm = 10 mm,

so 0.88 cm = 0.88 × 10

= 8.8 mm.

Question 7.

782 km = 782,000 ________

Answer:

782 km = 782,000 m.

Explanation:

Here, 1 km = 1000 m,

so 782 km = 782 × 1000

= 782,000 m.

Question 8.

58 cm = ______ m

Answer:

58 cm = 0.58 m.

Explanation:

Here, 1 cm = 0.01 m,

so 58 cm = 58 × 0.01

= 0.58 m.

Question 9.

**Stretch Your Thinking** Shannon pours four different liquid ingredients into a bowl. The sum of the liquid ingredients is 8.53 liters. Two of her measurements are in liters and two of her measurements are in milliliters. Give an example of possible measurements for Shannon’s four liquids.

Answer:

The possible measurements for Shannon’s four liquids are 2.5 L, 4 L, 2,000 mL, 30 mL.

Explanation:

Given that Shannon pours four different liquid ingredients into a bowl and the sum of the liquid ingredients is 8.53 liters and two of her measurements are in liters and two of her measurements are in milliliters. So an example of possible measurements for Shannon’s four liquids is 2.5 L, 4 L, 2,000 mL, 30 mL.