Printable math worksheet for converting units of length using metric and US standard measurements.

Here are the step-by-step solutions for the unit conversion problems. I will use the conversion key provided in the worksheet:

Metric Key:
* $1 \text{ cm} = 10 \text{ mm}$
* $1 \text{ m} = 100 \text{ cm}$
* $1 \text{ km} = 1000 \text{ m}$

US Standard Key:
* $1 \text{ ft} = 12 \text{ in}$
* $1 \text{ yd} = 3 \text{ ft}$
* $1 \text{ mi} = 1760 \text{ yd}$

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Metric Conversions

1. $6 \text{ cm} = \_\_\_\_ \text{ mm}$
To go from centimeters to millimeters, multiply by 10.
$6 \times 10 = 60$
Answer: 60 mm

2. $80 \text{ mm} = \_\_\_\_ \text{ cm}$
To go from millimeters to centimeters, divide by 10.
$80 \div 10 = 8$
Answer: 8 cm

3. $14 \text{ cm} = \_\_\_\_ \text{ mm}$
Multiply by 10.
$14 \times 10 = 140$
Answer: 140 mm

4. $7 \text{ m} = \_\_\_\_ \text{ cm}$
To go from meters to centimeters, multiply by 100.
$7 \times 100 = 700$
Answer: 700 cm

5. $900 \text{ cm} = \_\_\_\_ \text{ m}$
To go from centimeters to meters, divide by 100.
$900 \div 100 = 9$
Answer: 9 m

6. $3 \text{ km} = \_\_\_\_ \text{ m}$
To go from kilometers to meters, multiply by 1000.
$3 \times 1000 = 3000$
Answer: 3000 m

7. $2000 \text{ m} = \_\_\_\_ \text{ km}$
To go from meters to kilometers, divide by 1000.
$2000 \div 1000 = 2$
Answer: 2 km

8. $8.5 \text{ km} = \_\_\_\_ \text{ m}$
Multiply by 1000. Move the decimal point 3 places to the right.
$8.5 \times 1000 = 8500$
Answer: 8500 m

9. $650 \text{ cm} = \_\_\_\_ \text{ m}$
Divide by 100. Move the decimal point 2 places to the left.
$650 \div 100 = 6.5$
Answer: 6.5 m

10. $450 \text{ mm} = \_\_\_\_ \text{ cm}$
Divide by 10.
$450 \div 10 = 45$
Answer: 45 cm

11. $3.5 \text{ m} = \_\_\_\_ \text{ cm}$
Multiply by 100.
$3.5 \times 100 = 350$
Answer: 350 cm

12. $2 \text{ m} = \_\_\_\_ \text{ mm}$
First convert meters to centimeters ($2 \times 100 = 200$), then centimeters to millimeters ($200 \times 10 = 2000$). Or simply multiply by 1000.
$2 \times 1000 = 2000$
Answer: 2000 mm

13. $1 \text{ km} = \_\_\_\_ \text{ cm}$
First convert km to m ($1000$), then m to cm ($100$). Multiply $1000 \times 100$.
$1 \times 100,000 = 100,000$
Answer: 100,000 cm

14. $50 \text{ m} = \_\_\_\_ \text{ km}$
Divide by 1000.
$50 \div 1000 = 0.05$
Answer: 0.05 km

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US Standard Conversions

15. $2 \text{ ft} = \_\_\_\_ \text{ in}$
To go from feet to inches, multiply by 12.
$2 \times 12 = 24$
Answer: 24 in

16. $60 \text{ in} = \_\_\_\_ \text{ ft}$
To go from inches to feet, divide by 12.
$60 \div 12 = 5$
Answer: 5 ft

17. $10 \text{ ft} = \_\_\_\_ \text{ in}$
Multiply by 12.
$10 \times 12 = 120$
Answer: 120 in

18. $5 \text{ yd} = \_\_\_\_ \text{ ft}$
To go from yards to feet, multiply by 3.
$5 \times 3 = 15$
Answer: 15 ft

19. $27 \text{ ft} = \_\_\_\_ \text{ yd}$
To go from feet to yards, divide by 3.
$27 \div 3 = 9$
Answer: 9 yd

20. $3 \text{ mi} = \_\_\_\_ \text{ yd}$
To go from miles to yards, multiply by 1760.
$3 \times 1760 = 5280$
(Calculation: $3 \times 1000 = 3000$, $3 \times 700 = 2100$, $3 \times 60 = 180$. $3000+2100+180 = 5280$)
Answer: 5280 yd

21. $8800 \text{ yd} = \_\_\_\_ \text{ mi}$
To go from yards to miles, divide by 1760.
$8800 \div 1760 = 5$
(Check: $1760 \times 5 = 8800$)
Answer: 5 mi

22. $25 \text{ mi} = \_\_\_\_ \text{ yd}$
Multiply by 1760.
$25 \times 1760 = 44,000$
(Calculation: $25 \times 176 = 4400$. Add a zero.)
Answer: 44,000 yd

23. $51 \text{ ft} = \_\_\_\_ \text{ yd}$
Divide by 3.
$51 \div 3 = 17$
Answer: 17 yd

24. $198 \text{ in} = \_\_\_\_ \text{ ft}$
Divide by 12.
$198 \div 12 = 16.5$
(Calculation: $12 \times 10 = 120$. Remainder is 78. $12 \times 6 = 72$. Remainder is 6. $6/12 = 0.5$. So $16.5$)
Answer: 16.5 ft

25. $7.5 \text{ yd} = \_\_\_\_ \text{ ft}$
Multiply by 3.
$7.5 \times 3 = 22.5$
Answer: 22.5 ft

26. $4 \text{ yd} = \_\_\_\_ \text{ ft}$
Multiply by 3.
$4 \times 3 = 12$
Answer: 12 ft

27. $1.5 \text{ mi} = \_\_\_\_ \text{ ft}$
First convert miles to yards: $1.5 \times 1760 = 2640 \text{ yd}$.
Then convert yards to feet: $2640 \times 3 = 7920 \text{ ft}$.
Answer: 7920 ft

28. $20 \text{ yd} = \_\_\_\_ \text{ mi}$
Divide by 1760.
$20 \div 1760 = \frac{20}{1760} = \frac{1}{88}$
As a decimal: $1 \div 88 \approx 0.01136$
Usually, fractions are acceptable if decimals are messy, but let's check if it simplifies nicely. It does not terminate quickly. Let's provide the fraction or rounded decimal. Given the other answers are exact, let's re-read carefully. Ah, standard conversions often result in repeating decimals here.
$20 / 1760 = 1 / 88 \approx 0.0114$ mi.
Let's stick with the exact fraction or a rounded decimal depending on typical grade level expectations. Usually, these worksheets might expect rounding to 2 or 3 decimal places.
$1 \div 88 = 0.0113636...$
Let's provide the approximate decimal value.
Answer: $\approx 0.011$ mi (or $1/88$ mi)

*(Self-Correction on #28: In many elementary contexts, if the division isn't clean, they might accept the fraction or a specific rounding. Without specific rounding instructions, $0.011$ or $1/88$ is correct. Let's provide the decimal rounded to 3 places as is common.)*

Final Answer:
1. 60 mm
2. 8 cm
3. 140 mm
4. 700 cm
5. 9 m
6. 3000 m
7. 2 km
8. 8500 m
9. 6.5 m
10. 45 cm
11. 350 cm
12. 2000 mm
13. 100,000 cm
14. 0.05 km
15. 24 in
16. 5 ft
17. 120 in
18. 15 ft
19. 9 yd
20. 5280 yd
21. 5 mi
22. 44,000 yd
23. 17 yd
24. 16.5 ft
25. 22.5 ft
26. 12 ft
27. 7920 ft
28. 0.011 mi (approx)