MathematicsFreePrintable

Powers of Ten

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Powers of Ten

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📚 Part 1: Understanding Powers of Ten

1. What is the value of 10³?

30

100

1,000

10,000

2. Which expression equals 100,000?

10⁴

10⁵

10⁶

10⁷

3. What is 10⁻²?

-100

0.01

0.1

0.001

4. Fill in the blanks:

a) 10² = __________

b) 10⁰ = __________

c) 10⁻³ = __________

✏️ Part 2: Scientific Notation

5. Write 5,600 in scientific notation:
6. Write 0.0034 in scientific notation:
7. Which number is written correctly in scientific notation?

24.5 × 10³

2.45 × 10⁴

0.245 × 10⁵

All of the above

8. Convert these numbers from scientific notation to standard form:

a) 3.2 × 10⁵ = __________________

b) 7.8 × 10⁻⁴ = __________________

🌍 Part 3: Real-World Applications

9. The distance from Earth to the Sun is approximately 93,000,000 miles. Write this in scientific notation:
10. A bacteria cell has a diameter of 0.000002 meters. Write this in scientific notation:
11. Explain in one sentence why scientists use scientific notation:
12. Give one example of when you might use scientific notation in real life:

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