Question

Evaluate. Express your answer in scientific notation.
3, point, 8, 9, times, 10, to the power 4 , plus, 9, point, 1, 9, times, 10, cubed

Answer 1

To evaluate \( 3.89 \times 10^4 + 9.19 \times 10^3 \), we need to express both numbers with the same power of 10.

First, we can rewrite \( 9.19 \times 10^3 \) in terms of \( 10^4 \):
\[
9.19 \times 10^3 = 0.919 \times 10^4
\]

Now we can add the two numbers:
\[
3.89 \times 10^4 + 0.919 \times 10^4 = (3.89 + 0.919) \times 10^4
\]

Calculating the sum:
\[
3.89 + 0.919 = 4.809
\]

So, we have:
\[
4.809 \times 10^4
\]

To express \( 4.809 \) in scientific notation, we note that it is already properly formatted since it is between 1 and 10.

Thus, the final answer in scientific notation is:
\[
\boxed{4.809 \times 10^4}
\]