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Inverse Properties
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What is… The opposite of addition? The opposite of multiplication?
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Inverse Properties 1) Additive Inverse (Opposite) a + (-a) = 0
2) Multiplicative Inverse (Reciprocal)
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Example 5 + (-5) = 0 -9 + (9) = 0 2(1/2) = 1 -4 (1/-4)= 1
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Example 1A: Finding Inverses
Find the additive and multiplicative inverse of each number. 12 additive inverse: –12 The opposite of 12 is –12. Check – = 0 The Additive Inverse Property holds. multiplicative inverse: The reciprocal of 12 is Check The Multiplicative Inverse Property holds.
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Example 1B: Finding Inverses
Find the additive and multiplicative inverse of each number. The opposite of is . additive inverse: The reciprocal of is multiplicative inverse:
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Check It Out! Example 1A Find the additive and multiplicative inverse of each number. 500 additive inverse: –500 The opposite of 500 is –500. Check (–500) = 0 The Additive Inverse Property holds. multiplicative inverse: The reciprocal of 500 is Check The Multiplicative Inverse Property holds.
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Check It Out! Example 1B Find the additive and multiplicative inverse of each number. –0.01 additive inverse: 0.01 The opposite of –0.01 is 0.01. multiplicative inverse: –100 The reciprocal of –0.01 is –100.
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