The ________ property states that If a = b then a + c = b + c

Responses
A additionaddition
B multiplication

multiplication

The _______ property states that If a = b then ac = bc

Responses
A additionaddition
B multiplication

The property you are referring to is the addition property.

The property you are referring to is the Addition Property of Equality. It states that if two quantities or expressions are equal (a = b), then adding the same number (c) to both sides of the equation will still maintain equality (a + c = b + c).

To understand this property, let's break it down step by step:
1. Start with the equation a = b.
2. Consider adding the same number (c) to both sides of the equation: a + c = b + c.
3. Using the addition property of equality, we know that if a = b, then a + c = b + c.

So, the correct response is A) addition.