Question

Compare the values

4 x 10^7 is ______ times as much as 4 x 10^3

Answer 1

To compare the values of \(4 \times 10^7\) and \(4 \times 10^3\), we can divide the two expressions:

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

The factors of \(4\) cancel out:

\[
= \frac{10^7}{10^3}
\]

Using the properties of exponents, we can simplify this:

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

Now, \(10^4\) equals \(10,000\).

Thus, \(4 \times 10^7\) is \(10,000\) times as much as \(4 \times 10^3\).

So, the final answer is:

**10,000 times as much.**