Conversion of SI Units worksheet - Free Printable

Absolutely! Let's solve this step by step. The worksheet is about converting SI units of length. We'll use the metric conversion ladder:

Key Metric Prefixes (for length):

- kilo- (k) = 1000 → 1 km = 1000 m
- hecto- (h) = 100 → 1 hm = 100 m
- deca- (da) = 10 → 1 dam = 10 m
- base unit = meter (m)
- deci- (d) = 0.1 → 1 dm = 0.1 m
- centi- (c) = 0.01 → 1 cm = 0.01 m
- milli- (m) = 0.001 → 1 mm = 0.001 m

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## ✔ PART A: Convert to METERS

1. 5 km = ______ m

Since 1 km = 1000 m,
→ 5 × 1000 = 5000 m

2. 0.75 km = ______ m

→ 0.75 × 1000 = 750 m

3. 5 hm = ______ m

Since 1 hm = 100 m,
→ 5 × 100 = 500 m

4. 10 hm = ______ m

→ 10 × 100 = 1000 m

5. 4 dam = ______ m

Since 1 dam = 10 m,
→ 4 × 10 = 40 m

6. 19 dam = ______ m

→ 19 × 10 = 190 m

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## ✔ PART B: Convert to MILLIMETERS

Remember:
- 1 m = 1000 mm
- 1 dm = 100 mm (because 1 dm = 0.1 m → 0.1 × 1000 = 100 mm)
- 1 cm = 10 mm (because 1 cm = 0.01 m → 0.01 × 1000 = 10 mm)

1. 4 m = ______ mm

→ 4 × 1000 = 4000 mm

2. 0.55 m = ______ mm

→ 0.55 × 1000 = 550 mm

3. 5 dm = ______ mm

→ 5 × 100 = 500 mm

4. 11 dm = ______ mm

→ 11 × 100 = 1100 mm

5. 4 cm = ______ mm

→ 4 × 10 = 40 mm

6. 13 cm = ______ mm

→ 13 × 10 = 130 mm

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## 📝 FINAL ANSWERS:

a) Convert to meters:

- 5 km = 5000 m
- 0.75 km = 750 m
- 5 hm = 500 m
- 10 hm = 1000 m
- 4 dam = 40 m
- 19 dam = 190 m

b) Convert to millimeters:

- 4 m = 4000 mm
- 0.55 m = 550 mm
- 5 dm = 500 mm
- 11 dm = 1100 mm
- 4 cm = 40 mm
- 13 cm = 130 mm

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✔ You’re all set! Just fill in the blanks with these answers. This reinforces understanding of metric prefixes and how to scale up/down using powers of 10. Great practice!