Question

Which of the following statements shows the inverse property of addition?

Answer 1

Answer:

Statements  y + (-y) = 0 shows the inverse property of addition ⇒ 1st answer

Step-by-step explanation:

Let us revise some important notes

• The purpose of the inverse property of addition is to get a result of zero (any number added to its opposite will equal zero)
• The purpose of the inverse property of multiplication is to get a result of 1 (any number multiplied by its reciprocal will equal 1)
• The additive identity is zero
• The multiplicative identity is 1
• The difference between the additive identity and the inverse property of addition that additive identity states that a number plus zero equals that number, and the inverse property states that the sum of a number and its additive Inverse is zero

In → y + (-y) = 0

∵ -y is the additive inverse of y

∵ The sum of y and its additive inverse = 0

- By using the definition of the inverse property of addition up

∴ Statements  y + (-y) = 0 shows the inverse property of addition