Question

Find the product of (1.2 · 10-2) and (3.65 · 108). In your final answer, include all of your calculations.

Answer 1

The numbers are best written as,
(1.2 x 10⁻²)(3.65 x 10⁸)
If we multiply the bases of the scientific notations, we get an answer of 4.38. There exists a rule which states that for exponents of the same number which are multiplied, we add up the exponents. Thus, our final answer would be,
4.38 x 10⁶