**Unformatted text preview: **Additive and
Multiplicative Inverses
by;: Additive inverse definition The additive inverse of a number is what you add to a number to create the sum of
zero. The additive inverse of x is another number, y, as long as the sum of x + y equals
zero. Multiplicative inverse definition A multiplicative inverse is a reciprocal. What is a reciprocal? A reciprocal is one of a
pair of numbers that when multiplied with another number equals the number 1 . Additive inverse examples For example, the additive inverse of the positive number 5 is -5. That's because their
sum, or 5 + (-5) = 0. if x equals -12, then its additive inverse is y = 12. We can verify that the sum of x + y
equals zero, since when x = -12 and y = 12, we have -12 + 12 = 0. The additive inverse of 9 is -9. That’s because their sum, or 9 + (-9)= 0 The additive inverse of 7 is -7. That’s because their sum, or 7 + (-7)= 0 If x equals -1, then its additive inverse is y = 1. We can verify that the sum of x + y
equals zero, since when x = -1 and y = 1, we have -1 + 1= 0. Multiplicative inverse examples If we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7
because when you multiply 7 and 1/7 together, you get 1 If we have the number 9, the multiplicative inverse, or reciprocal, would be 1/7
because when you multiply 9 and 1/9 together, you get 1 If we have the number 8, the multiplicative inverse, or reciprocal, would be 1/7
because when you multiply 8 and 1/8 together, you get 1 If we have the number 3, the multiplicative inverse, or reciprocal, would be 1/7
because when you multiply 3 and 1/3 together, you get 1 If we have the number 2, the multiplicative inverse, or reciprocal, would be 1/7
because when you multiply 2 and 1/2 together, you get 1 ...

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