Math worksheet for converting metric units of length, weight, and volume, including conversion problems and comparison exercises.

Let's solve each part of this worksheet step by step.

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Part 1: Converting Metric Units

#### Length, Weight, and Volume Conversions

Conversion Rules:
- Length:
- 1 km = 1000 m
- 1 m = 100 cm
- 1 cm = 10 mm
- Weight:
- 1 kg = 1000 g
- Volume:
- 1 L = 1000 mL

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1) 0.35 km = _______ m
→ 0.35 × 1000 = 350 m

2) 2.9 cm = _______ mm
→ 2.9 × 10 = 29 mm

3) 4260 g = _______ kg
→ 4260 ÷ 1000 = 4.26 kg

4) 315 cm = _______ m
→ 315 ÷ 100 = 3.15 m

5) _______ L = 3750 mL
→ 3750 ÷ 1000 = 3.75 L

6) _______ g = 0.93 kg
→ 0.93 × 1000 = 930 g

7) 8.4 L = _______ mL
→ 8.4 × 1000 = 8400 mL

8) _______ mm = 13.5 cm
→ 13.5 × 10 = 135 mm

9) 5.08 m = _______ cm
→ 5.08 × 100 = 508 cm

10) _______ m = 0.06 km
→ 0.06 × 1000 = 60 m

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✔ Answers for Part 1:

1) 350 m
2) 29 mm
3) 4.26 kg
4) 3.15 m
5) 3.75 L
6) 930 g
7) 8400 mL
8) 135 mm
9) 508 cm
10) 60 m

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Part 2: Which is the most? Circle the largest amount in each box

We need to convert all values in each box to the same unit and compare.

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Box 1:
- 1.24 kg = 1240 g
- 1310 g → already in grams
- 950 g

→ Largest: 1310 g (already circled — correct)

✔ Answer: 1310 g

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Box 2:
Convert all to meters:
- 0.35 km = 0.35 × 1000 = 350 m
- 309 m
- 3640 cm = 3640 ÷ 100 = 36.4 m

Compare: 350 m, 309 m, 36.4 m → Largest is 350 m

✔ Answer: 0.35 km

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Box 3:
Convert to milliliters:
- 7090 mL
- 7250 mL
- 7.2 L = 7.2 × 1000 = 7200 mL

Compare: 7090, 7250, 7200 → Largest: 7250 mL

✔ Answer: 7250 mL

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Box 4:
Convert to meters:
- 52,329 cm = 52,329 ÷ 100 = 523.29 m
- 5120 m
- 5.7 km = 5.7 × 1000 = 5700 m

Compare: 523.29 m, 5120 m, 5700 m → Largest: 5700 m

✔ Answer: 5.7 km

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✔ Answers for Part 2:

- Box 1: 1310 g (already circled)
- Box 2: 0.35 km
- Box 3: 7250 mL
- Box 4: 5.7 km

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Part 3: Compare using >, <, or =

We’ll convert both sides to the same unit and compare.

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1) 0.5 L ___ 59 mL
→ 0.5 L = 500 mL
500 mL > 59 mL → >

2) 46 mm ___ 5.1 cm
→ 5.1 cm = 51 mm
46 mm < 51 mm → <

3) 2781 g ___ 2.8 kg
→ 2.8 kg = 2800 g
2781 g < 2800 g → <

4) 752 cm ___ 0.9 m
→ 0.9 m = 90 cm
752 cm > 90 cm → >

5) 740 mL ___ 0.74 L
→ 0.74 L = 740 mL → =

6) 795 g ___ 0.8 kg
→ 0.8 kg = 800 g
795 g < 800 g → <

7) 35 mm ___ 3.8 cm
→ 3.8 cm = 38 mm
35 mm < 38 mm → <

8) 7.62 L ___ 860 mL
→ 7.62 L = 7620 mL
7620 mL > 860 mL → >

9) 0.82 km ___ 790 m
→ 0.82 km = 820 m
820 m > 790 m → >

10) 1 ¼ km ___ 1750 m
→ 1 ¼ km = 1.25 km = 1250 m
1250 m < 1750 m → <

11) 576 g ___ ½ kg
→ ½ kg = 500 g
576 g > 500 g → >

12) 72.6 cm ___ 750 mm
→ 72.6 cm = 726 mm
726 mm < 750 mm → <

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✔ Answers for Part 3:

| Problem | Answer |
|--------|--------|
| 1) | > |
| 2) | < |
| 3) | < |
| 4) | > |
| 5) | = |
| 6) | < |
| 7) | < |
| 8) | > |
| 9) | > |
| 10) | < |
| 11) | > |
| 12) | < |

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✔ Final Summary:

#### Part 1: Conversions
1) 350 m
2) 29 mm
3) 4.26 kg
4) 3.15 m
5) 3.75 L
6) 930 g
7) 8400 mL
8) 135 mm
9) 508 cm
10) 60 m

#### Part 2: Circle the largest
- Box 1: 1310 g ✔
- Box 2: 0.35 km
- Box 3: 7250 mL
- Box 4: 5.7 km

#### Part 3: Comparisons
1) >
2) <
3) <
4) >
5) =
6) <
7) <
8) >
9) >
10) <
11) >
12) <

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