Question

Evaluate. Express your answer in scientific notation.
10, comma, 700, comma, 000, minus, 1, point, 4, 1, times, 10, to the power 6
10,700,000−1.41×10
6

Answer 1

To evaluate \(10,700,000 - 1.41 \times 10^6\), we'll first express \(10,700,000\) in scientific notation.

\(10,700,000\) can be written as:
\[
10,700,000 = 1.07 \times 10^7
\]

Next, rewrite \(1.41 \times 10^6\) in a similar power of ten:
\[
1.41 \times 10^6 = 0.141 \times 10^7
\]

Now we can perform the subtraction:
\[
1.07 \times 10^7 - 0.141 \times 10^7 = (1.07 - 0.141) \times 10^7 = 0.929 \times 10^7
\]

To express \(0.929 \times 10^7\) in proper scientific notation, we convert \(0.929\) to \(9.29\) by adjusting the exponent:
\[
0.929 \times 10^7 = 9.29 \times 10^6
\]

Thus, the final answer in scientific notation is:
\[
\boxed{9.29 \times 10^6}
\]