Subtract Numbers in Scientific Notation Quick Check

Question

1 of 51 of 5 Items
Question
Subtract 4.66×10−5−7.34×10−7
(1 point)
Responses

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

−2.68×102
negative 2.68 times 10 squared

2.68×102
2.68 times 10 squared

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

Answer 1

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

1. $4.66\times {10}^{-5}$ is already in the desired power of ten.
2. Convert $7.34\times {10}^{-7}$ to the same power of ten as $4.66\times {10}^{-5}$: $$7.34\times {10}^{-7}=0.0734\times {10}^{-5}$$

Now we can rewrite the equation: $$4.66\times {10}^{-5}-0.0734\times {10}^{-5}$$

Subtract the coefficients: $$4.66-0.0734=4.5866$$

Now, we can write the result in scientific notation: $$4.5866\times {10}^{-5}$$

So, the answer is: $$\boxed{{\displaystyle 4.5866\times {10}^{-5}}}$$