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Negative Powers of Ten

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Negative Powers of Ten

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📚 Part 1: WALT, Success Criteria & Multiple Choice

WALT: We are learning to identify and represent negative powers of 10 as fractions and decimals (e.g. 10⁻² = 0.01 = 1/100). Write or explain answers in English or Te Reo Māori / Reo Rua.

Success criteria: I can • write 10⁻n as a decimal and a fraction, • convert between decimal, fraction and negative exponent forms, • explain how digits move when multiplying or dividing by 10.

1. What is 10⁻¹ as a decimal?

0.1

0.01

1

2. Which fraction equals 10⁻³?

1/100

1/1000

3/1000

3. Which expression is equal to 0.01?

10⁻²

1/10

10⁻³

4. Check all that represent 0.01:

1/100

10⁻²

0.1

10⁻³

✏️ Part 2: Short Answers & Practice

5. Write 10⁻⁴ as a decimal and as a fraction.
6. Convert 0.001 to a power of ten and a fraction.
7. Describe, in one sentence, what happens to digits when you multiply a number by 10. (You may write in English or Te Reo Māori / Reo Rua)
8. Exit ticket: Give ONE example of a negative power of 10 as an exponent, a decimal and a fraction. Then write one short sentence explaining what happens when you divide by 10.

Support, Differentiation & Extensions

Differentiation strategies (for diverse learners): • Provide place-value charts or base‑10 counters for hands-on support. • Allow oral answers or drawings instead of written responses. • Break tasks into steps and use bilingual vocabulary cards (English + Te Reo Māori/Reo Rua). • Give extra time and one-to-one scaffolded prompts where needed.

Dyslexia-friendly reading options: Use clear, large font; high-contrast text; line spacing; and allow students to listen to the question read aloud. Offer coloured overlays or printed copies in dyslexia-friendly font if helpful.

Extension activities (for early finishers / advanced learners): • Explore 10⁻⁵ and 10⁻⁶: write as decimals and fractions and place on a number line. • Create 3 real-world examples where tiny decimals are used (measurements, scientific notation) and explain why negative powers of 10 are useful.

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