Question

Which is the best estimate for StartFraction (8.9 times 10 Superscript 8 Baseline) Over (3.3 times 10 Superscript 4 Baseline) EndFraction written in scientific notation?

Answer 1

Answer:

$2.7 * 10^{4}$

Step-by-step explanation:

Given the expression $\frac{8.9*10^{8} }{3.3*10^{4} }$, to express the the fraction in scientific notation, we will apply the law of indices below;

According to one of the laws of indices, $\frac{a^{m} }{a^{n} } = a^{m-n}$

Applying this to the fraction;

$= \frac{8.9*10^{8} }{3.3*10^{4} }\\\\= \frac{8.9}{3.3} * \frac{10^{8} }{10^{4} }\\\\ = \frac{8.9}{3.3} * 10^{8-4}\\\\ = \frac{8.9}{3.3} *10^{4}\\\\ = 2.697 * 10^{4}$

The best estimate for the fraction in scientific notation will be $2.7 * 10^{4}$

Answer 2

The correct answer is

C) 3 x 10^4

I just took the quiz on edge