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: \[ 7.28 \times 10^{-2} \]
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