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Unit Conversions and Dimensional Analysis Worksheet Generator

Single and chained conversions with units cancelling. No AI, no credits.

Grades 6 – 12No account needed

Practice sheets for single and chained unit conversions across metric and customary units, rates, and squared and cubed units. Sheets show the dimensional analysis setup with units cancelling. Factors come from stored NIST SP 811 data.

What students practice

  • Science Skills
  • Unit conversions
  • Dimensional analysis

Live sample sheet

No account needed to view and print.
Name: ____________________Date: ____________

Unit Conversions and Dimensional Analysis

1. Convert 7 km to cm.
2. Convert 17 g to mg.
3. Convert 7 mi to ft.
4. Convert 16 km to m.
5. Convert 17 kg to mg.
6. Convert 19 yd to ft.
7. Convert 20 km to cm.
8. Convert 5 g to mg.
9. Convert 7 yd to ft.
10. Convert 18 m to mm.
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Answer Key — Unit Conversions and Dimensional Analysis

1. Convert 7 km to cm.
Solution:
Start: 7 km
Convert to base: 7 × 1000 = 7000
Convert to target: 7000 ÷ 0.01 = 7.0000e+5
Answer: 7.0000e+5
2. Convert 17 g to mg.
Solution:
Start: 17 g
Convert to base: 17 × 1 = 17
Convert to target: 17 ÷ 0.001 = 17000
Answer: 17000
3. Convert 7 mi to ft.
Solution:
Start: 7 mi
Convert to base: 7 × 1609.344 = 11265.408
Convert to target: 11265.408 ÷ 0.3048 = 36960
Answer: 36960
4. Convert 16 km to m.
Solution:
Start: 16 km
Convert to base: 16 × 1000 = 16000
Convert to target: 16000 ÷ 1 = 16000
Answer: 16000
5. Convert 17 kg to mg.
Solution:
Start: 17 kg
Convert to base: 17 × 1000 = 17000
Convert to target: 17000 ÷ 0.001 = 1.7000e+7
Answer: 1.7000e+7
6. Convert 19 yd to ft.
Solution:
Start: 19 yd
Convert to base: 19 × 0.9144 = 17.3736
Convert to target: 17.3736 ÷ 0.3048 = 57
Answer: 57
7. Convert 20 km to cm.
Solution:
Start: 20 km
Convert to base: 20 × 1000 = 20000
Convert to target: 20000 ÷ 0.01 = 2.0000e+6
Answer: 2.0000e+6
8. Convert 5 g to mg.
Solution:
Start: 5 g
Convert to base: 5 × 1 = 5
Convert to target: 5 ÷ 0.001 = 5000
Answer: 5000
9. Convert 7 yd to ft.
Solution:
Start: 7 yd
Convert to base: 7 × 0.9144 = 6.4008
Convert to target: 6.4008 ÷ 0.3048 = 21
Answer: 21
10. Convert 18 m to mm.
Solution:
Start: 18 m
Convert to base: 18 × 1 = 18
Convert to target: 18 ÷ 0.001 = 18000
Answer: 18000
Answers computed by code and double-checked by two independent methods.

Assumptions and Conventions

Assumptions:
  • Conversion factors from NIST SP 811 (2008 edition).
  • All metric-customary factors are exact by definition.
  • Answers are rounded to 4 significant figures.
Conventions:
  • Show the dimensional analysis setup with units cancelling.
  • Exact conversions do not limit precision.
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Frequently asked questions

Do students need an account to use the Unit Conversions and Dimensional Analysis?

No. Students never need an account. They open a shared link or join with a code.

Can I print the Unit Conversions and Dimensional Analysis without signing up?

Yes. This tool computes answers by code, so you can generate, preview and print worksheet without an account. A free account adds saving and student links.

How are the answers computed?

Every answer is computed by code and verified by a second independent method. No AI is used.

What grades is the Unit Conversions and Dimensional Analysis for?

This tool fits Grades 6 – 12.

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Sample output, computed by code — change the options and Generate to make your own
Name: ____________________Date: ____________

Unit Conversions and Dimensional Analysis

1. Convert 7 km to cm.
2. Convert 17 g to mg.
3. Convert 7 mi to ft.
4. Convert 16 km to m.
5. Convert 17 kg to mg.
6. Convert 19 yd to ft.
7. Convert 20 km to cm.
8. Convert 5 g to mg.
9. Convert 7 yd to ft.
10. Convert 18 m to mm.
Made with TeachSpark

Answer Key — Unit Conversions and Dimensional Analysis

1. Convert 7 km to cm.
Solution:
Start: 7 km
Convert to base: 7 × 1000 = 7000
Convert to target: 7000 ÷ 0.01 = 7.0000e+5
Answer: 7.0000e+5
2. Convert 17 g to mg.
Solution:
Start: 17 g
Convert to base: 17 × 1 = 17
Convert to target: 17 ÷ 0.001 = 17000
Answer: 17000
3. Convert 7 mi to ft.
Solution:
Start: 7 mi
Convert to base: 7 × 1609.344 = 11265.408
Convert to target: 11265.408 ÷ 0.3048 = 36960
Answer: 36960
4. Convert 16 km to m.
Solution:
Start: 16 km
Convert to base: 16 × 1000 = 16000
Convert to target: 16000 ÷ 1 = 16000
Answer: 16000
5. Convert 17 kg to mg.
Solution:
Start: 17 kg
Convert to base: 17 × 1000 = 17000
Convert to target: 17000 ÷ 0.001 = 1.7000e+7
Answer: 1.7000e+7
6. Convert 19 yd to ft.
Solution:
Start: 19 yd
Convert to base: 19 × 0.9144 = 17.3736
Convert to target: 17.3736 ÷ 0.3048 = 57
Answer: 57
7. Convert 20 km to cm.
Solution:
Start: 20 km
Convert to base: 20 × 1000 = 20000
Convert to target: 20000 ÷ 0.01 = 2.0000e+6
Answer: 2.0000e+6
8. Convert 5 g to mg.
Solution:
Start: 5 g
Convert to base: 5 × 1 = 5
Convert to target: 5 ÷ 0.001 = 5000
Answer: 5000
9. Convert 7 yd to ft.
Solution:
Start: 7 yd
Convert to base: 7 × 0.9144 = 6.4008
Convert to target: 6.4008 ÷ 0.3048 = 21
Answer: 21
10. Convert 18 m to mm.
Solution:
Start: 18 m
Convert to base: 18 × 1 = 18
Convert to target: 18 ÷ 0.001 = 18000
Answer: 18000
Answers computed by code and double-checked by two independent methods.

Assumptions and Conventions

Assumptions:
  • Conversion factors from NIST SP 811 (2008 edition).
  • All metric-customary factors are exact by definition.
  • Answers are rounded to 4 significant figures.
Conventions:
  • Show the dimensional analysis setup with units cancelling.
  • Exact conversions do not limit precision.
Made with TeachSpark
My library · free account

Unit Conversions - Chemistry - Metric conversions

Single and chained conversions with units cancelling. No AI, no credits.

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