📚 Part 1: Multiple Choice (WALT)

WALT: We are learning to convert between negative powers of ten, decimals and simple fractions.

Success criteria: I can read 10⁻n, write it as a decimal and as a simple fraction for n = 1–4.

1. What is 10^-1 as a decimal?

0.01

0.1

1.0

10

2. What is 10^-3 as a fraction?

1/10

1/100

1/1000

3/1000

3. Check all that apply: 0.01 =

1/100

10^-2

10^-3

1/1000

4. Which is the largest number?

10^-1

10^-2

10^-3

10⁰

5. Which decimal equals 10^-4?

0.0001

0.001

0.01

0.1

✏️ Part 2: Short Answers (WALT)

WALT: We are learning to convert between decimals, fractions and negative powers of ten and to order them by size.

Success criteria: I can write 10⁻n as a decimal and fraction, convert decimals like 0.001 to 10⁻n, and order simple negative powers of ten.

6. Write 10^-4 as a decimal and as a fraction:

7. Convert 0.0001 to a power of ten and to a fraction:

8. Fill the blank: 1/1000 = _______ = 10^-3

9. Write 3 × 10^-2 as a decimal:

10. Order these from smallest to largest: 10^-1, 10^-4, 10^-2

🌟 Part 3: Extension & Teacher Notes

WALT: We are learning to apply negative powers of ten to measurement and explain our thinking.

Success criteria: I can use negative powers of ten in word problems and explain the steps I used.

11. A tiny insect measured 0.000001 m. Write this length using a power of ten (in metres):

12. In one sentence, explain how you convert 0.01 to 10^-n. Be clear and use a number example.

Differentiation strategies for diverse learners:

- Provide number lines showing decimal places for students who need visual supports.
- Offer one-to-one modelling or step cards: "move decimal point 1 place = 10⁻1", etc.
- Allow use of calculators for decimal-to-fraction checks and give extra time as needed.

Extension activities (for advanced learners):

- Investigate negative powers for n up to 6 and convert to scientific notation (e.g. 4.5 × 10⁻3).
- Create three real-world examples where tiny measurements use negative powers of ten (e.g. millimetres, micrometres).

Dyslexia-friendly reading options:

- Use clear spacing and one idea per line. Read questions aloud when needed.
- Provide coloured overlays or high-contrast print if helpful.
- Give short verbal instructions and allow oral responses where suitable.

Manaaki notes (cultural & pastoral):

- Frame examples with local contexts (measurements related to marae objects or local environment).
- Encourage students with aroha and affirm their tūrangawaewae; celebrate correct steps as well as correct answers.