Divide 3.3 × 10⁴ by 5.5 × 10⁷.

Question

A. 6 × 10^-⁶
B. 6 × 10^-⁴
C. 6 × 10^-⁵
D. 6 × 10^-³

Answer 1

To divide numbers written in scientific notation, divide the coefficients and subtract the exponents of the powers of 10.

In this case:

(3.3 × 10⁴) / (5.5 × 10⁷) = (3.3 / 5.5) × (10⁴ / 10⁷)

Simplifying the coefficient:

3.3 / 5.5 = 0.6

Simplifying the powers of 10:

10⁴ / 10⁷ = 10^(4-7) = 10⁻³

So the answer is 0.6 × 10⁻³, which can be written as 6 × 10⁻³.

Therefore, the correct option is D. 6 × 10^-³.