Evaluate. Express your answer in scientific notation.

Question

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: \[ \boxed{9.29 \times 10^6} \]