Multiple Choice
Use the distributive property to simplify the expression.
(C)
1. Review of Real Numbers
The Distributive Property
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Use the distributive property to simplify the expression.
(A)
A
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C
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Verified step by step guidance1
Identify the distributive property, which states that for any numbers a, b, and c, we have: \(a \times (b - c) = a \times b - a \times c\).
Apply the distributive property to the expression \(\frac{1}{4} (8 - 12)\) by multiplying \(\frac{1}{4}\) with each term inside the parentheses separately: \(\frac{1}{4} \times 8 - \frac{1}{4} \times 12\).
Calculate each multiplication separately without combining yet: \(\frac{1}{4} \times 8\) and \(\frac{1}{4} \times 12\).
Rewrite the expression as the difference of the two products found in the previous step: \(\left(\frac{1}{4} \times 8\right) - \left(\frac{1}{4} \times 12\right)\).
Simplify each product by performing the multiplication of the fraction and the integer to get the simplified terms before subtracting.
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