The correct answer for the product (8.2 x 10 ^- ³) x (2.84 x 10⁵) is: (considering significant figures)

Question

Quizplus · Accepted Answer

- First, multiply the two numbers without considering significant figures:
    - (8.2 x 10^11) x (2.84 x 10^15) = 2.3288 x 10^27
- Since there are two numbers being multiplied, the result must have no more significant figures than the number with the fewest significant figures. In this case, it is 2.84 x 10^15, which has 3 significant figures.
- Therefore, rounding the result to 3 significant figures, we get: 2.30 x 10^27
- However, the result must be written in scientific notation with only one non-zero digit before the decimal point. Therefore, we divide by 10 and multiply by 10:
    - 2.30 x 10^27 = 23.0 x 10^26 = 2.3 x 10^27
- The only answer choice that matches this result is B.

The Correct Answer for the Product (8