Question

How many times larger is 2.4 x 10^8 than 6 x 10^2?

A) 2 times larger
B) 3 times larger
C) 4 times larger
D) 6 times larger

Answer 1

To find how many times larger 2.4 x 10^8 is than 6 x 10^2, divide one by the other to get 4 x 10^5. Thus, 2.4 x 10^8 is four hundred thousand times larger than 6 x 10^2.

Step-by-step explanation:

Calculation of Relative Size in Exponential Notation

To determine how many times larger 2.4 x 108 is than 6 x 102, we can divide the former by the latter. The operation looks like this:

(2.4 x 108) / (6 x 102) = (2.4/6) x (108 / 102)

Simplify the fraction and subtract the exponents:

0.4 x 10(8-2) = 0.4 x 106

Convert 0.4 x 106 to a whole number:

4 x 105

Therefore, 2.4 x 108 is four hundred thousand times larger than 6 x 102, which corresponds to option C from the provided choices.