Question

compare the values.
4x10^7 is __________ times as much as 4x10^3

a. 4x 10^4
b. 4x10^10
c. 10^4
d. 10^10

Answer 1

To compare the values \(4 \times 10^7\) and \(4 \times 10^3\), we can calculate how many times \(4 \times 10^3\) fits into \(4 \times 10^7\):

\[
\frac{4 \times 10^7}{4 \times 10^3} = \frac{4}{4} \times \frac{10^7}{10^3} = 1 \times 10^{7-3} = 10^4
\]

Therefore, \(4 \times 10^7\) is \(10^4\) times as much as \(4 \times 10^3\).

The correct answer is:

c. \(10^4\)