Section: Mathematical Reasoning

1)

Simplify the following using scientific notation: 

^{(8.76 x 109)(6.52 x 10-3)}/_{13.27 x 10⁵}

1. 4.3 x 10¹
2. 0.43 x 10¹
3. 43 x 10^-1
4. 43.06 x 10^-2

Using scientific notation, this problem would have two main steps.

First, you would multiply the numbers in the numerator (8.76 x 6.52) and divide them by the number in the denominator (13.27). Answer is approximately 4.3.

Secondly, you would divide the exponents of the numerator and denominator (9 + (-3))-5. Answer is 1 (or 10¹). Now multiply the two together and you get 4.3 x 10¹.

By definition, scientific notation is a number greater than or equal to 1 and less than 10 times 10 raised to some power. Option 1 is the only one that meets that criteria.