Question

Evaluate. Express your answer in scientific notation.
3, point, 7, times, 10, to the power 7 , plus, 520, comma, 000
3.7×10
7
+520,000

Answer 1

To evaluate \( 3.7 \times 10^7 + 520,000 \), we first need to express \( 520,000 \) in scientific notation.

The number \( 520,000 \) can be expressed as:
\[
520,000 = 5.2 \times 10^5
\]

Now, we need to convert both terms to the same power of ten to add them together. The exponent \( 10^7 \) is larger than \( 10^5 \), so we will convert \( 5.2 \times 10^5 \) to a power of \( 10^7 \):
\[
5.2 \times 10^5 = 0.052 \times 10^7
\]

Now we can add:
\[
3.7 \times 10^7 + 0.052 \times 10^7 = (3.7 + 0.052) \times 10^7
\]

Calculating the sum inside the parentheses:
\[
3.7 + 0.052 = 3.752
\]

So we now have:
\[
3.752 \times 10^7
\]

Finally, we express this in scientific notation:
\[
3.752 \times 10^7
\]

Therefore, the final answer is:
\[
\boxed{3.752 \times 10^7}
\]