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choose the property of real numbers that justifies the equation. $d \\c…

Question

choose the property of real numbers that justifies the equation.
$d \cdot 0 = 0$
$\frac{1}{n} \cdot n = 1$
$c + 6 = 6 + c$
$2 \cdot (3 \cdot a) = (2 \cdot 3) \cdot a$
(each equation has a dropdown menu labeled select)

Explanation:

Brief Explanations
  1. For $d \cdot 0 = 0$: This rule states multiplying any real number by 0 gives 0.
  2. For $\frac{1}{n} \cdot n = 1$: A number times its reciprocal equals 1.
  3. For $c + 6 = 6 + c$: The order of addition does not change the sum.
  4. For $2 \cdot (3 \cdot a) = (2 \cdot 3) \cdot a$: Grouping of multiplication does not change the product.

Answer:

  1. $d \cdot 0 = 0$: Multiplicative Property of Zero
  2. $\frac{1}{n} \cdot n = 1$: Multiplicative Inverse Property
  3. $c + 6 = 6 + c$: Commutative Property of Addition
  4. $2 \cdot (3 \cdot a) = (2 \cdot 3) \cdot a$: Associative Property of Multiplication