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

The correct answer is

C) 3 x 10^4

I just took the quiz on edge

Answer 2

`2.7 * 10^(4)`

Explanation:

Given the expression
`(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,
`(a^(m) )/(a^(n) ) = a^(m-n)`

Applying this to the fraction;

`= (8.9*10^(8) )/(3.3*10^(4) )\\\\= (8.9)/(3.3) * (10^(8) )/(10^(4) )\\\\ = (8.9)/(3.3) * 10^(8-4)\\\\ = (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)`