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25 October, 21:59

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

y + (-y) = 0

y+0=y

О

y=y

y + y = 2y

+3
Answers (1)
  1. 25 October, 22:18
    0
    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
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