Chapter 1 - Foundations for Algebra - 1-5 Adding and Subtracting Real Numbers - Mixed Review - Page 36: 75

Yes, the expressions are equivalent.

Work Step by Step

We start by simplifying the first expression, $\frac{3}{4}\times d\times4$: The commutative property of multiplication states that changing the order of the factors does not affect the product. We use this property to rearrange the factors: $\frac{3}{4}\times4\times d$ Now, we simplify using the order of operations: We multiply from left to right: $3\times d=3d$ Since this is equal to the second expression, the expressions are equivalent.

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