Spectrum Math Grade 5 Chapter 8 Lesson 1 Answer Key Metric Conversions

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Spectrum Math Grade 5 Chapter 8 Lesson 8.1 Metric Conversions Answers Key

Spectrum Math Grade 5 Chapter 8 Lesson 1 Answer Key Metric Conversions 1

Complete the following.

Question 1.
a. 5g = _____________ mg
Answer:
5,000 mg.

Explanation:
From the above given table,
1 g = 1,000 mg.
5g = 5 x 1,000 = 5,000 mg.

b. 17,000,000 mg = _____________ kg
Answer:
17 Kg.

Explanation:
From the above given table,
1 kg = 1,000,000 mg.
17 mg = 17 x 1,000,000 = 17,000,000 mg.

Question 2.
a. 4,000 L = _____________ kL
Answer:
4 KL.

Explanation:
From the above given table,
1 KL = 1,000 L
4,000 L = \(\frac{4,000}{1,000}\) = 4 KL.

b. 51,000 mL = _____________ L
Answer:
51 mL.

Explanation:
From the above given table,
1 L = 1,000 mL
51,000 mL = \(\frac{51,000}{1,000}\) = 51 mL.

Question 3.
a. 600 mm = ______________ cm
Answer:
60 mm.

Explanation:
From the above given table,
1 cm = 10 mm
600 mm = \(\frac{600}{10}\) = 60 mm.

b. 8 m = _____________ mm
Answer:
8,000 mm.

Explanation:
From the above given table,
1 m = 1,000 mm
8 m = 8 x 1,000 = 8,000 mm.

Question 4.
a. 4 kL = _____________ mL
Answer:
4,000,000 mL.

Explanation:
From the above given table,
1 KL = 1,000,000 mL
4 KL = 4 x 1,000,000 mL.

b. 46,000 L = _____________ kL
Answer:
46 KL.

Explanation:
From the above given table,
1 KL = 1,000 L
46,000 L = \(\frac{46,000}{1,000}\) = 46 mL.

Question 5.
a. 42 m = _____________ mm
Answer:
42,000 mm.
Explanation:
From the above given table,
1 m = 1,000 mm
42 m = 42 x 1,000 = 42,000 mm.

b. 12 km = _____________ m
Answer:
12,000 m.

Explanation:
From the above given table,
1 KM = 1,000 m
12 Km = 12 x 1000 = 12,000 m.

Question 6.
a. 2 g 150 mg = _____________ mg
Answer:
2,150 mg.

Explanation:
Given,
2 g 150 mg = _____________ mg
convert grams to milligrams, then add.
From the above given table,
1 g = 1,000 gm
2 g = 2 x 1000 = 2,000 gm.
2,000 + 150 = 2,150 mg.

b. 4 kg 200 g = _____________ g
Answer:
4,200 g.

Explanation:
Given,
4 kg 200 g = _____________ g
convert kilograms to grams, then add.
From the above given table,
1 kg = 1,000 g
4 kg = 4 x 1000 = 4,000 gm.
4,000 + 200 = 4,200 mg.

Show your work.

Question 7.
Duane has a pencil 7 centimeters long. Fred has a pencil 64 millimeters long. Whose pencil is longer, and how much longer is it?
____________ pencil is _____________ millimeters longer.
Answer:
Duane’s pencil is 6 millimeters longer.

Explanation:
Given that,
Duane has a pencil 7 centimeters long.
convert centimeters to millimeters.
1 cm = 10 mm
7 cm = 7 x 10 = 70 mm.
Fred has a pencil 64 millimeters long.
So, 70 – 64 = 6 mm.
Therefore, Duane’s pencil is 6 millimeters longer.

Question 8.
Pedro has a stack of coins that weighs 85 grams. Conner has a stack of coins that weighs 64,300 milligrams. Whose stack of coins weighs more? How much more?
______________ stack of coins weighs ____________ milligrams more.
Answer:
Pedro’s stack of coins weighs 20,700 milligrams more.

Explanation:
Given that,
Pedro has a stack of coins that weighs 85 grams.
convert grams to milligrams.
1 gm = 1,000 mg
85 gm = 85 x 1,000 = 85,000 mg.
Conner has a stack of coins that weighs 64,300 milligrams.
So, 85,000 – 64,300 = 20,700 mg.
Therefore, Pedro’s stack of coins weighs 20,700 milligrams more.

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