Are –3 2–1212 and –1 4–1 6 multiplicative inverses?
Question
Are –3 2–1212 and –1 4–1 6 multiplicative inverses?
Solution
To determine if two numbers are multiplicative inverses, we need to multiply them together. If the result is 1, then they are multiplicative inverses.
Let's multiply the two numbers:
(-3/2) * (-1/4) = 3/8
(-12/12) * (-1/6) = 2/12 = 1/6
As we can see, neither of these products is equal to 1. Therefore, –3/2 and –1/4, and -12/12 and -1/6 are not multiplicative inverses.
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