Question

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

1 answer

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

We can convert \( 4.66 \times 10^{-5} \) to have an exponent of \( -7 \) by rewriting it as follows:

\[ 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} \times 10^{2} \times 10^{-2} = 466 \times 10^{-7} \]

Now we can perform the subtraction as follows:

\[ 4.66 \times 10^{-5} - 7.34 \times 10^{-7} = 466 \times 10^{-7} - 7.34 \times 10^{-7} \]

Now, subtract the coefficients:

\[ 466 - 7.34 = 458.66 \]

Now, we can express the result in scientific notation:

\[ 458.66 \times 10^{-7} = 4.5866 \times 10^{-5} \]

Therefore, the final result is:

\[ \boxed{4.5866 \times 10^{-5}} \]