To solve the expression [tex]\(\left(6.1 \times 10^3\right) + \left(7 \times 10^2\right)\)[/tex] and give the answer in standard form, let's follow these steps:
1. Calculate [tex]\(6.1 \times 10^3\)[/tex]:
[tex]\[
6.1 \times 10^3 = 6100.0
\][/tex]
2. Calculate [tex]\(7 \times 10^2\)[/tex]:
[tex]\[
7 \times 10^2 = 700
\][/tex]
3. Add the two results together:
[tex]\[
6100.0 + 700 = 6800.0
\][/tex]
4. Convert the sum into standard form:
The result, 6800.0, can be written in scientific notation. To convert 6800.0 to standard form, we express it as a product of a number between 1 and 10, and a power of 10:
[tex]\[
6800.0 = 6.8 \times 10^3
\][/tex]
Therefore, the answer to [tex]\(\left(6.1 \times 10^3\right) + \left(7 \times 10^2\right)\)[/tex] in standard form is:
[tex]\[
6.8 \times 10^3
\][/tex]
