Question

Question

Find 0.078−(5.2×10−3)
. Express your answer in scientific notation. Do not round your answer.(1 point)
×10−2

Answer 1

To solve the expression $0.078-(5.2\times {10}^{-3})$, we first need to convert $0.078$ into the same format as $5.2\times {10}^{-3}$.

We can convert $0.078$ into scientific notation: $$0.078=7.8\times {10}^{-2}$$

Now, we rewrite the expression: $$7.8\times {10}^{-2}-5.2\times {10}^{-3}$$

Next, we need to express $5.2\times {10}^{-3}$ in terms of ${10}^{-2}$. We can convert $5.2\times {10}^{-3}$ as follows: $$5.2\times {10}^{-3}=0.52\times {10}^{-2}$$

Now we can rewrite the expression: $$7.8\times {10}^{-2}-0.52\times {10}^{-2}$$

Now, we can perform the subtraction: $$(7.8-0.52)\times {10}^{-2}=7.28\times {10}^{-2}$$

Finally, we express the answer in proper scientific notation. In scientific notation, $7.28$ is already within the range of $1$ to $10$, so our answer is: $$7.28\times {10}^{-2}$$

Thus, your answer in scientific notation is: $$7.28\times {10}^{-2}$$