Find 0.078-(5.2 x 10-²). Express your answer in scientific notation. Do not round your answer.

x10-2

1 answer

To solve \( 0.078 - (5.2 \times 10^{-2}) \), let's first convert \( 0.078 \) to scientific notation.

The number \( 0.078 \) can be expressed as: \[ 0.078 = 7.8 \times 10^{-2} \]

Now we can perform the subtraction: \[ 7.8 \times 10^{-2} - 5.2 \times 10^{-2} \]

Since both terms are already in the same power of ten, we can combine them: \[ (7.8 - 5.2) \times 10^{-2} = 2.6 \times 10^{-2} \]

Thus, the final answer, expressed in scientific notation, is: \[ \boxed{2.6 \times 10^{-2}} \]