Video: The Additive Inverse Property

Given that 𝑏 is the additive inverse of π‘Ž, which of the following is true? [A] π‘Ž βˆ’ 𝑏 = 0 [B] π‘Ž βˆ’ 𝑏 = 1 [C] π‘Ž + 𝑏 = 0 [D] π‘Ž + 𝑏 = 1 [E] π‘Ž Γ— 𝑏 = 1

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Video Transcript

Given that 𝑏 is the additive inverse of π‘Ž, which of the following is true? a) π‘Ž minus 𝑏 equals zero, b) π‘Ž minus 𝑏 equals one, c) π‘Ž plus 𝑏 equals zero, d) π‘Ž plus 𝑏 equals one, or e) π‘Ž times 𝑏 equals one.

What is an additive inverse? It’s what you add to a number to get zero. The additive inverse of π‘Ž is such that when you add it to π‘Ž, you get zero. We’re already told that 𝑏 is the additive inverse of π‘Ž, and that means π‘Ž plus 𝑏 must equal zero. It means that 𝑏 is negative π‘Ž.

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