📊 Part 1: Converting to Standard Form

1. Write these numbers in standard form:

a) 45,000,000 = _______________

b) 230,000 = _______________

c) 8,500,000,000 = _______________

d) 67,000 = _______________

2. Write these standard form numbers as ordinary numbers:

a) 3.4 × 10⁵ = _______________

b) 7.2 × 10⁶ = _______________

c) 1.8 × 10⁴ = _______________

d) 9.1 × 10⁷ = _______________

3. Which of these numbers is the largest?

4.5 × 10⁶

8.2 × 10⁵

1.9 × 10⁷

6.8 × 10⁶

🧮 Part 2: Calculations with Standard Form

4. Calculate these and give your answer in standard form:

a) (2 × 10⁴) × (3 × 10⁵) = _______________

b) (8 × 10⁶) ÷ (4 × 10²) = _______________

5. The distance from Earth to the Sun is approximately 1.5 × 10⁸ kilometres. Light travels at 3 × 10⁵ kilometres per second. How long does it take light to travel from the Sun to Earth?

Answer: _______________ seconds

6. New Zealand's population is approximately 5.2 × 10⁶ people. If the government spends $2.6 × 10¹⁰ on healthcare per year, estimate how much is spent per person.

Answer: $_______________