Question

5.3x10 to the 4+14.5x10 to the 5

Answer 1

To add the two numbers \( 5.3 \times 10^4 \) and \( 14.5 \times 10^5 \), we need to express them with the same power of ten.

First, convert \( 5.3 \times 10^4 \) to a power of \( 10^5 \):

\[
5.3 \times 10^4 = 0.053 \times 10^5
\]

Now we can add the two numbers:

\[
0.053 \times 10^5 + 14.5 \times 10^5 = (0.053 + 14.5) \times 10^5
\]

Calculating the sum inside the parentheses:

\[
0.053 + 14.5 = 14.553
\]

So, we have:

\[
14.553 \times 10^5
\]

If we want to express this in standard scientific notation, it’s already in the correct form.

Thus, the final result is:

\[
\boxed{14.553 \times 10^5}
\]