Question

(a - b) + c = a + (c - b) by using properties of the real number.

a) Commutative property
b) Associative property
c) Distributive property
d) Identity property

Answer 1

The property used in the equation (a - b) + c = a + (c - b) is the associative property, which states that the grouping of numbers in addition or multiplication does not affect the result. Using this property, we can rearrange the terms in the equation to obtain the same result.

Step-by-step explanation:

The property used in the equation (a - b) + c = a + (c - b) is the associative property, which states that the grouping of numbers in addition or multiplication does not affect the result. Using this property, we can rearrange the terms in the equation to obtain the same result.

First, let's expand the terms on both sides of the equation:

(a - b) + c = a + (c - b)

Next, using the associative property, we can rearrange the terms within the parentheses:

a - (b + c) = a + (c - b)

Finally, we can simplify both sides of the equation:

a - b - c = a + c - b

Therefore, (a - b) + c is equal to a + (c - b) using the associative property.