Standard Form

Question 1

Write 15 000 000 in standard form.

Answer 1

5 000 000 = 1.5 × 10 000 000
This can be rewritten as:
1.5 × 10 × 10 × 10 × 10 × 10 × 10 × 10
= 1. 5 × 10^7

Question 2

4.5 × 10^4 + 6.45 × 10^5

Answer 2

4.5 × 10^4 + 6.45 × 10^5
= 45,000 + 645,000
= 690,000
= 6.9 × 10^5

Question 3

Simplify (2 × 10^3) × (3 × 10^6)

Answer 3

Multiply 2 by 3 and add the powers of 10:

(2 × 10^3) × (3 × 10^6) = 6 × 10^9