Question

Calculate 4.81×10−3 − 0.000094
. Express the answer in scientific notation.(1 point)

Answer 1

To perform the calculation \( 4.81 \times 10^{-3} - 0.000094 \), we first need to express \( 0.000094 \) in scientific notation.

The number \( 0.000094 \) can be written as:
\[
0.000094 = 9.4 \times 10^{-5}
\]

Now, we can proceed with the subtraction. To do this, we need a common exponent in the scientific notation. We can rewrite \( 4.81 \times 10^{-3} \) in terms of \( 10^{-5} \):
\[
4.81 \times 10^{-3} = 4.81 \times 10^{-3} \times \frac{100}{100} = 481 \times 10^{-5}
\]

Now, we have:
\[
4.81 \times 10^{-3} = 481 \times 10^{-5}
\]
\[
0.000094 = 9.4 \times 10^{-5}
\]

Next, we perform the subtraction:
\[
481 \times 10^{-5} - 9.4 \times 10^{-5} = (481 - 9.4) \times 10^{-5} = 471.6 \times 10^{-5}
\]

Finally, we convert \( 471.6 \times 10^{-5} \) back to proper scientific notation. We can write \( 471.6 \) as \( 4.716 \times 10^{2} \) (since \( 471.6 = 4.716 \times 10^2 \)). Thus:
\[
471.6 \times 10^{-5} = 4.716 \times 10^{2} \times 10^{-5} = 4.716 \times 10^{-3}
\]

Therefore, the final answer in scientific notation is:
\[
\boxed{4.716 \times 10^{-3}}
\]