Question

What is the relationship between 5.34×105 and 5.34×10−2?



Select from the drop-down menus to correctly complete the statement.

5.34×105 is
Choose...
times
Choose...
than 5.34×10−2.

Answer 1

To compare \( 5.34 \times 10^5 \) and \( 5.34 \times 10^{-2} \), we can calculate their values.

1. Calculate \( 5.34 \times 10^5 \):
\[
5.34 \times 10^5 = 534000
\]

2. Calculate \( 5.34 \times 10^{-2} \):
\[
5.34 \times 10^{-2} = 0.0534
\]

Now we divide \( 534000 \) by \( 0.0534 \) to find out how many times larger \( 5.34 \times 10^5 \) is compared to \( 5.34 \times 10^{-2} \).

\[
\frac{534000}{0.0534} \approx 10000000
\]

Thus, we can state the relationship as:

5.34×10^5 is **10000000** times **larger** than 5.34×10−2.