subtract 4.66 x 10-^5 - 7.34 x 10-^7

Answer 1

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

Step 1: Rewrite \( 4.66 \times 10^{-5} \)

Convert \( 4.66 \times 10^{-5} \) to a form with \( 10^{-7} \) as the exponent:

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

Step 2: Now we can rewrite the expression

Now, we can rewrite the subtraction as:

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

Step 3: Perform the subtraction

\[ 466 \times 10^{-7} - 7.34 \times 10^{-7} = (466 - 7.34) \times 10^{-7} = 458.66 \times 10^{-7} \]

Step 4: Simplify the result

Finally, we can express this in scientific notation:

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

Final Result

Thus,

\[ 4.66 \times 10^{-5} - 7.34 \times 10^{-7} = 4.5866 \times 10^{-5} \]