The expression $(5 - 2) + \left(\frac{12}{10} - \frac{7}{10}\right)$ is an efficient way to perform subtraction for which of the following expressions? A. $3\frac{7}{10} - 1\frac{2}{10}$ B. $4\frac{3}{10} - 2\frac{12}{10}$ C. $5\frac{7}{10} - \frac{8}{10}$ D. $6\frac{2}{10} - 2\frac{7}{10}$ Correct Response: D. (Objective 0008) Use the associative and commutative properties to rearrange the original expression as $\left(5 + \frac{12}{10}\right) - \left(2 + \frac{7}{10}\right)$, which is equivalent to $6\frac{2}{10} - 2\frac{7}{10}$.
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Step 1: The original expression is (5 - 2) + (12/10 - 7/10). Show more…
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