To solve the expression \(0.078 - (5.2 \times 10^{-3})\), we first need to express \(0.078\) in scientific notation.
\(0.078\) can be written as: \[ 0.078 = 7.8 \times 10^{-2} \]
Now, we can 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 \(10^{-2}\) so that we can subtract the two numbers. To do this, we convert \(5.2 \times 10^{-3}\) to a denominator of \(10^{-2}\): \[ 5.2 \times 10^{-3} = 0.52 \times 10^{-2} \]
Now we rewrite the expression: \[ 7.8 \times 10^{-2} - 0.52 \times 10^{-2} \]
We can now perform the subtraction: \[ (7.8 - 0.52) \times 10^{-2} = 7.28 \times 10^{-2} \]
Now, \(7.28 \times 10^{-2}\) is already in scientific notation. To express \(7.28 \times 10^{-2}\) in the format required \(\Box \times 10^{-2}\), we can identify that: \[ \text{Answer} = 7.28 \]
Thus, the final answer in the given format is: \[ \boxed{7.28 \times 10^{-2}} \]
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