Subtract Numbers in Scientific Notation Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Find 0.078−(5.2×10−3)
. Express your answer in scientific notation. Do not round your answer.(1 point)
×10−2
Remaining Attempts : 3
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Answer 1

To solve \( 0.078 - (5.2 \times 10^{-3}) \), we first express \( 0.078 \) in scientific notation.

We can write: \[ 0.078 = 7.8 \times 10^{-2} \]

Now we need to subtract \( 5.2 \times 10^{-3} \) from \( 7.8 \times 10^{-2} \). To perform the subtraction, we need a common exponent.

Convert \( 5.2 \times 10^{-3} \) so it has the same exponent as \( 7.8 \times 10^{-2} \): \[ 5.2 \times 10^{-3} = 0.052 \times 10^{-2} \]

Now we can perform the subtraction: \[ 7.8 \times 10^{-2} - 0.052 \times 10^{-2} = (7.8 - 0.052) \times 10^{-2} = 7.748 \times 10^{-2} \]

Thus, the final answer in scientific notation is: \[ \boxed{7.748 \times 10^{-2}} \]