📊 Part 1: Place Value and Powers of Ten

1. Match each number to its correct power of ten representation:

100 =

10¹

10²

10³

1,000 =

10¹

10²

10³

10 =

10¹

10²

10³

2. Which of these numbers is the largest?

5.4 × 10³

54,000

5.4 × 10⁴

540

3. Fill in the missing powers of ten:

10,000 = 10 ____

0.01 = 10 ____

1,000,000 = 10 ____

4. When we multiply 45 by 10², the decimal point moves:

2 places to the left

2 places to the right

1 place to the right

It doesn't move

🔢 Part 2: Scientific Notation and Conversions

5. Write these numbers in scientific notation (a × 10ᵏ where 1 ≤ a < 10):

4,500,000 = _______________

0.0032 = _______________

870,000 = _______________

6. Convert these scientific notation numbers to standard form:

3.2 × 10⁵ = _______________

7.8 × 10⁻³ = _______________

1.5 × 10⁴ = _______________

7. Order these numbers from smallest to largest:

2.3 × 10³, 230, 2.3 × 10², 23,000

8. Explain why scientists prefer to write 6.02 × 10²³ instead of writing out all the zeros:

🌍 Part 3: Real-World Applications

9. The distance from Earth to the Sun is approximately 150,000,000 kilometres. Write this in scientific notation and explain why this form is useful for astronomers:

Scientific notation: _______________

10. A bacterium measures 0.000002 metres in length. Express this measurement using:

Scientific notation: _______________

As a fraction with powers of 10: _______________

11. Which contexts would benefit most from using powers of ten? (Check all that apply)

Measuring the mass of atoms

Calculating distances in space

Recording daily temperatures

Expressing large financial amounts

Measuring the height of students

Powers of Ten Fundamentals

Powers of Ten Fundamentals

📊 Part 1: Place Value and Powers of Ten

🔢 Part 2: Scientific Notation and Conversions

🌍 Part 3: Real-World Applications

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