Question

Compare using <, > or =

5.729 x 10^2 6.84 x 10^2

Answer 1

To compare \( 5.729 \times 10^2 \) and \( 6.84 \times 10^2 \), both numbers are expressed in scientific notation with \( 10^2 \) as a common factor.

First, we can simplify the comparison by ignoring the \( 10^2 \) since it's the same for both numbers:

Compare \( 5.729 \) and \( 6.84 \):

Since \( 5.729 < 6.84 \):

Thus, \( 5.729 \times 10^2 < 6.84 \times 10^2 \).

So the final comparison is:

\[
5.729 \times 10^2 < 6.84 \times 10^2
\]