Question

Identify the property that justifies each step asked about in the answer area below

10(3 + 2x)
10(2x + 3)
Line 1:
Line 2:
Line 3:
20x + 30

Answer 1

The commutative property of multiplication justifies each step in the given calculation.

Step-by-step explanation:

The property that justifies each step in the given calculation is the commutative property of multiplication. This property states that the order of the factors does not affect the result of the multiplication. In Line 1, the expression 10(3 + 2x) can be rewritten as (3 + 2x)10 due to the commutative property of multiplication. In Line 2, the expression (3 + 2x)10 can be rearranged as 10(2x + 3) using the same property. Finally, in Line 3, the expression 20x + 30 is obtained by performing the multiplication.

Learn more about Commutative property of multiplication