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Published byPhebe Holmes Modified over 4 years ago

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Inverses

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Additive Inverse Inverses are related to the properties of real numbers. The additive inverse is the same number with the opposite sign – it is sometimes just called the opposite. The additive inverse of + 5 is - 5 The opposite of - 3 is + 3.

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Additive Inverse When you add a number and its opposite, your answer will always be zero. + 5 – 5 = 0 Zero is the identity element for addition

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The Identity Element for Addition Zero is called the identity element for addition because if you add zero to any number, you get identically the same number back again. 2 + 0 = 2

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Additive Inverse When you add a number and its additive inverse, your answer will always be the identity element for addition.

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Multiplicative Inverse Inverses are related to the properties of real numbers. The multiplicative inverse is the “flipped” version of the number - it is sometimes called the reciprocal. The multiplicative inverse of 5 is The reciprocal of is

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Multiplicative Inverse When you multiply a number and its reciprocal, your answer will always be one. One is the identity element for multiplication

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The Identity Element for Multiplication One is called the identity element for multiplication because if you multiply any number by 1, you get identically the same number back again. 2 x 1 = 2

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Multiplicative Inverse When you multiply a number and its multiplicative inverse, your answer will always be the identity element for multiplication.

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The Additive and Multiplicative Inverses The additive inverse is the “opposite” The multiplicative inverse is the “reciprocal”. When you add or multiply a number by its inverse, you get the identity element for that operation.

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