Metric Conversions and Comparisons Worksheet

Let's solve the Metric Conversions worksheet step by step.

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Part 1: Convert the given values

We'll use standard metric conversion factors:

- Length:
- 1 cm = 10 mm
- 1 m = 100 cm
- 1 km = 1000 m

- Mass:
- 1 kg = 1000 g

- Volume:
- 1 L = 1000 mL

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#### 1. 2.07 cm = ____ mm
Since 1 cm = 10 mm, multiply by 10:
$ 2.07 \times 10 = 20.7 $ mm
✔ 20.7 mm

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#### 2. 1.8 L = ____ mL
Since 1 L = 1000 mL, multiply by 1000:
$ 1.8 \times 1000 = 1800 $ mL
✔ 1800 mL

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#### 3. 0.75 kg = ____ g
Since 1 kg = 1000 g, multiply by 1000:
$ 0.75 \times 1000 = 750 $ g
✔ 750 g

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#### 4. 4.48 km = ____ m
Since 1 km = 1000 m, multiply by 1000:
$ 4.48 \times 1000 = 4480 $ m
✔ 4480 m

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#### 5. 1408 m = ____ km
Since 1 km = 1000 m, divide by 1000:
$ 1408 \div 1000 = 1.408 $ km
✔ 1.408 km

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#### 6. 960 cm = ____ m
Since 1 m = 100 cm, divide by 100:
$ 960 \div 100 = 9.6 $ m
✔ 9.6 m

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#### 7. 2560 g = ____ kg
Since 1 kg = 1000 g, divide by 1000:
$ 2560 \div 1000 = 2.56 $ kg
✔ 2.56 kg

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#### 8. 75 mm = ____ cm
Since 1 cm = 10 mm, divide by 10:
$ 75 \div 10 = 7.5 $ cm
✔ 7.5 cm

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#### 9. 3.58 cm = ____ mm
Multiply by 10:
$ 3.58 \times 10 = 35.8 $ mm
✔ 35.8 mm

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#### 10. 1500 mL = ____ L
Divide by 1000:
$ 1500 \div 1000 = 1.5 $ L
✔ 1.5 L

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✔ Part 1 Answers:

| # | Answer |
|---|--------|
| 1 | 20.7 mm |
| 2 | 1800 mL |
| 3 | 750 g |
| 4 | 4480 m |
| 5 | 1.408 km |
| 6 | 9.6 m |
| 7 | 2.56 kg |
| 8 | 7.5 cm |
| 9 | 35.8 mm |
| 10 | 1.5 L |

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Part 2: Compare using <, >, or =

We need to convert both sides to the same unit and then compare.

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#### 1. 1.7 L ___ 900 mL
Convert 1.7 L to mL:
$ 1.7 \times 1000 = 1700 $ mL
Compare: 1700 mL vs 900 mL → 1700 > 900
✔ >

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#### 2. 1.32 km ___ 132 m
Convert 1.32 km to m:
$ 1.32 \times 1000 = 1320 $ m
Compare: 1320 m vs 132 m → 1320 > 132
✔ >

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#### 3. 5 cm ___ 48 mm
Convert 5 cm to mm:
$ 5 \times 10 = 50 $ mm
Compare: 50 mm vs 48 mm → 50 > 48
✔ >

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#### 4. 1010 g ___ 0.95 kg
Convert 0.95 kg to g:
$ 0.95 \times 1000 = 950 $ g
Compare: 1010 g vs 950 g → 1010 > 950
✔ >

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#### 5. 4.6 m ___ 460 cm
Convert 4.6 m to cm:
$ 4.6 \times 100 = 460 $ cm
Compare: 460 cm vs 460 cm → equal
✔ =

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#### 6. 1600 m ___ 1.8 km
Convert 1.8 km to m:
$ 1.8 \times 1000 = 1800 $ m
Compare: 1600 m vs 1800 m → 1600 < 1800
✔ <

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#### 7. 0.06 L ___ 58 mL
Convert 0.06 L to mL:
$ 0.06 \times 1000 = 60 $ mL
Compare: 60 mL vs 58 mL → 60 > 58
✔ >

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#### 8. 65 g ___ 0.42 kg
Convert 0.42 kg to g:
$ 0.42 \times 1000 = 420 $ g
Compare: 65 g vs 420 g → 65 < 420
✔ <

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✔ Part 2 Answers:

| # | Comparison |
|---|------------|
| 1 | 1.7 L > 900 mL |
| 2 | 1.32 km > 132 m |
| 3 | 5 cm > 48 mm |
| 4 | 1010 g > 0.95 kg |
| 5 | 4.6 m = 460 cm |
| 6 | 1600 m < 1.8 km |
| 7 | 0.06 L > 58 mL |
| 8 | 65 g < 0.42 kg |

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✔ Final Answer Summary

#### Conversion Section:
1. 20.7 mm
2. 1800 mL
3. 750 g
4. 4480 m
5. 1.408 km
6. 9.6 m
7. 2.56 kg
8. 7.5 cm
9. 35.8 mm
10. 1.5 L

#### Comparison Section:
1. >
2. >
3. >
4. >
5. =
6. <
7. >
8. <

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