The correct answer for the product (8.2 × 10⁻³)× (2.84 × 10⁵)is: (considering significant figures)

Question

Quizplus · Accepted Answer

When multiplying numbers in scientific notation, we multiply the coefficients and add the exponents of the 10s. 
(8.2 × 10^1)(2.84 × 10^15) = (8.2 × 2.84) × 10^(1+15) ≈ 23.288 × 10^16 ≈ 2.3 × 10^17 
Since the least number of significant figures in the two numbers being multiplied is three, we round our answer to three significant figures, which gives us 2.3 × 10^17 as the final answer.

The Correct Answer for the Product (8