Question

Subtract 4.66×10−5−7.34×10−7(1 point)
Responses

2.68×102
2.68 times 10 squared
4.5866×10−5
4.5866 times 10 superscript negative 5 baseline
−2.68×102
negative 2.68 times 10 squared
−4.5866×10−5

Answer 1

To subtract \( 4.66 \times 10^{-5} \) and \( 7.34 \times 10^{-7} \), we should first express both numbers with the same exponent.

We can rewrite \( 4.66 \times 10^{-5} \) in terms of \( 10^{-7} \):
\[
4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} \times 10^{-2} = 4.66 \times 10^{-7} \times 100 = 466 \times 10^{-7}
\]

So, we rewrite:
\[
4.66 \times 10^{-5} = 466 \times 10^{-7}
\]

Now we can perform the subtraction:
\[
466 \times 10^{-7} - 7.34 \times 10^{-7} = (466 - 7.34) \times 10^{-7} = 458.66 \times 10^{-7}
\]

Now, we can express \( 458.66 \times 10^{-7} \) in scientific notation:
\[
458.66 \times 10^{-7} = 4.5866 \times 10^{-5}
\]

Thus, the result of \( 4.66 \times 10^{-5} - 7.34 \times 10^{-7} \) is:

**4.5866×10^−5**