Find 0.078−(5.2×10^−3)

Question

. Express your answer in scientific notation. Do not round your answer.(1 point)
×10^−2

Answer 1

To solve \( 0.078 - (5.2 \times 10^{-3}) \), we first need to ensure both numbers are in a compatible format for subtraction.

1. Convert \( 0.078 \) to scientific notation: \[ 0.078 = 7.8 \times 10^{-2} \]

2. Convert \( 5.2 \times 10^{-3} \) to the same exponent: \[ 5.2 \times 10^{-3} = 0.052 \times 10^{-2} \]

3. Now subtract the two: \[ 7.8 \times 10^{-2} - 0.052 \times 10^{-2} = (7.8 - 0.052) \times 10^{-2} \] Calculate \( 7.8 - 0.052 \): \[ 7.8 - 0.052 = 7.748 \]

4. So we have: \[ 7.748 \times 10^{-2} \]

Now, we express it in the specified format: \[ 7.748 \times 10^{-2} \]

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