Question

Subtract. Write your answer in scientific notation.
(1.08×108)–(9.39×107)

Answer 1

To subtract the two numbers in scientific notation, we need to make sure they have the same exponent.

We have:
\( 1.08 \times 10^8 \)
and
\( 9.39 \times 10^7 \).

To align the exponents, we can rewrite \( 9.39 \times 10^7 \) with the same exponent of \( 10^8 \):

\[
9.39 \times 10^7 = 0.939 \times 10^8
\]

Now we can perform the subtraction:

\[
(1.08 \times 10^8) - (0.939 \times 10^8) = (1.08 - 0.939) \times 10^8
\]

Calculating \( 1.08 - 0.939 \):

\[
1.08 - 0.939 = 0.141
\]

Thus, we have:

\[
0.141 \times 10^8
\]

To express this in standard scientific notation, we need to adjust it so that there is only one non-zero digit to the left of the decimal point:

\[
0.141 \times 10^8 = 1.41 \times 10^{-1} \times 10^8 = 1.41 \times 10^{7}
\]

Therefore, the final result in scientific notation is:

\[
\boxed{1.41 \times 10^7}
\]