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Distances in Space Worksheet Generator

AU, light-years and parsecs, scientific notation, travel times and scale models. No AI, no credits.

Grades 6 – 12No account needed

AU, light-years and parsecs, scientific notation, travel times and scale models. Every answer is computed by code. No AI, so it never uses a generation credit.

What students practice

  • Earth and Space
  • Distances
  • Scientific notation

Live sample sheet

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Name: ____________________Date: ____________

Distances in Space

1. Convert 45 light-years to AU and parsecs.
2. Express 80,000,000,000,000,000 m in scientific notation.
3. Convert 53 AU to light-years and parsecs.
4. Express 3,000,000,000,000,000 m in scientific notation.
5. Convert 24 parsecs to AU and light-years.
6. Express 30,000,000,000,000,000,000 m in scientific notation.
7. Convert 16 parsecs to AU and light-years.
8. Express 20,000,000,000,000 m in scientific notation.
9. Convert 31 parsecs to AU and light-years.
10. Express 10,000,000,000,000 m in scientific notation.
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Answer Key — Distances in Space

1. Convert 45 light-years to AU and parsecs.
Solution:
45 ly / 1.5812e-5 ly/AU = 2845889 AU
45 ly × 3.0658e-1 pc/ly = 13.7960 pc
Answer: 2845889 AU, 13.7960 pc
2. Express 80,000,000,000,000,000 m in scientific notation.
Solution:
80,000,000,000,000,000 m = 8 × 10^16 m
Answer: 8 × 10^16
3. Convert 53 AU to light-years and parsecs.
Solution:
53 AU × 1.5812e-5 ly/AU = 0.0008 ly
53 AU × 4.8477e-6 pc/AU = 0.0003 pc
Answer: 0.0008 ly, 0.0003 pc
4. Express 3,000,000,000,000,000 m in scientific notation.
Solution:
3,000,000,000,000,000 m = 3 × 10^15 m
Answer: 3 × 10^15
5. Convert 24 parsecs to AU and light-years.
Solution:
24 pc / 4.8477e-6 pc/AU = 4950802 AU
24 pc / 3.0658e-1 pc/ly = 78.28 ly
Answer: 4950802 AU, 78.28 ly
6. Express 30,000,000,000,000,000,000 m in scientific notation.
Solution:
30,000,000,000,000,000,000 m = 3 × 10^19 m
Answer: 3 × 10^19
7. Convert 16 parsecs to AU and light-years.
Solution:
16 pc / 4.8477e-6 pc/AU = 3300535 AU
16 pc / 3.0658e-1 pc/ly = 52.19 ly
Answer: 3300535 AU, 52.19 ly
8. Express 20,000,000,000,000 m in scientific notation.
Solution:
20,000,000,000,000 m = 2 × 10^13 m
Answer: 2 × 10^13
9. Convert 31 parsecs to AU and light-years.
Solution:
31 pc / 4.8477e-6 pc/AU = 6394786 AU
31 pc / 3.0658e-1 pc/ly = 101.12 ly
Answer: 6394786 AU, 101.12 ly
10. Express 10,000,000,000,000 m in scientific notation.
Solution:
10,000,000,000,000 m = 1 × 10^13 m
Answer: 1 × 10^13
Answers computed by code. No AI, no credits.

Assumptions and Conventions

Assumptions:
  • 1 AU = 1.496 × 10¹¹ m (astronomical unit).
  • 1 ly = 9.461 × 10¹⁵ m (light-year).
  • 1 pc = 3.086 × 10¹⁶ m (parsec).
  • c = 299,792,458 m/s (exact, NIST).
  • Scale model: model distance = real distance × scale factor.
Conventions:
  • All conversion factors from IAU / NIST reference data.
  • Scientific notation: a × 10^n where 1 ≤ a < 10.
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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 Distances in Space 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: ____________

Distances in Space

1. Convert 16 parsecs to AU and light-years.
2. Express 5,000,000,000,000,000,000 m in scientific notation.
3. Convert 35 light-years to AU and parsecs.
4. Express 100,000,000,000,000,000 m in scientific notation.
5. Convert 42 parsecs to AU and light-years.
6. Express 500,000,000,000,000,000,000 m in scientific notation.
7. Convert 49 parsecs to AU and light-years.
8. Express 6,000,000,000 m in scientific notation.
9. Convert 31 light-years to AU and parsecs.
10. Express 7,000,000,000,000,000,000 m in scientific notation.
Made with TeachSpark

Answer Key — Distances in Space

1. Convert 16 parsecs to AU and light-years.
Solution:
16 pc / 4.8477e-6 pc/AU = 3300535 AU
16 pc / 3.0658e-1 pc/ly = 52.19 ly
Answer: 3300535 AU, 52.19 ly
2. Express 5,000,000,000,000,000,000 m in scientific notation.
Solution:
5,000,000,000,000,000,000 m = 5 × 10^18 m
Answer: 5 × 10^18
3. Convert 35 light-years to AU and parsecs.
Solution:
35 ly / 1.5812e-5 ly/AU = 2213469 AU
35 ly × 3.0658e-1 pc/ly = 10.7302 pc
Answer: 2213469 AU, 10.7302 pc
4. Express 100,000,000,000,000,000 m in scientific notation.
Solution:
100,000,000,000,000,000 m = 1 × 10^17 m
Answer: 1 × 10^17
5. Convert 42 parsecs to AU and light-years.
Solution:
42 pc / 4.8477e-6 pc/AU = 8663904 AU
42 pc / 3.0658e-1 pc/ly = 137.00 ly
Answer: 8663904 AU, 137.00 ly
6. Express 500,000,000,000,000,000,000 m in scientific notation.
Solution:
500,000,000,000,000,000,000 m = 5 × 10^20 m
Answer: 5 × 10^20
7. Convert 49 parsecs to AU and light-years.
Solution:
49 pc / 4.8477e-6 pc/AU = 10107888 AU
49 pc / 3.0658e-1 pc/ly = 159.83 ly
Answer: 10107888 AU, 159.83 ly
8. Express 6,000,000,000 m in scientific notation.
Solution:
6,000,000,000 m = 6 × 10^9 m
Answer: 6 × 10^9
9. Convert 31 light-years to AU and parsecs.
Solution:
31 ly / 1.5812e-5 ly/AU = 1960501 AU
31 ly × 3.0658e-1 pc/ly = 9.5039 pc
Answer: 1960501 AU, 9.5039 pc
10. Express 7,000,000,000,000,000,000 m in scientific notation.
Solution:
7,000,000,000,000,000,000 m = 7 × 10^18 m
Answer: 7 × 10^18
Answers computed by code. No AI, no credits.

Assumptions and Conventions

Assumptions:
  • 1 AU = 1.496 × 10¹¹ m (astronomical unit).
  • 1 ly = 9.461 × 10¹⁵ m (light-year).
  • 1 pc = 3.086 × 10¹⁶ m (parsec).
  • c = 299,792,458 m/s (exact, NIST).
  • Scale model: model distance = real distance × scale factor.
Conventions:
  • All conversion factors from IAU / NIST reference data.
  • Scientific notation: a × 10^n where 1 ≤ a < 10.
Made with TeachSpark
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Distances in Space - General earth and space - Mixed distance practice

AU, light-years and parsecs, scientific notation, travel times and scale models. No AI, no credits.

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