Subtract 4.66×10^−5 − 7.34×10^−7

Question

(1 point)
Responses

4.5866×10−5
4.5866 times 10 superscript negative 5 baseline

2.68×102
2.68 times 10 squared

−2.68×102
negative 2.68 times 10 squared

−4.5866×10−5
negative 4.5866 times 10 superscript negative 5 baseline
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Answer 1

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

Convert $7.34\times {10}^{-7}$ to have the same exponent as $4.66\times {10}^{-5}$:

$$7.34\times {10}^{-7}=0.0734\times {10}^{-5}$$

Now we can perform the subtraction:

$$4.66\times {10}^{-5}-0.0734\times {10}^{-5}=(4.66-0.0734)\times {10}^{-5}$$

Calculating $4.66-0.0734$:

$$4.66-0.0734=4.5866$$

So the result is:

$$4.5866\times {10}^{-5}$$

Thus, the final answer is:

4.5866×10^−5.