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Are –3 2–1212 and –1 4–1 6 multiplicative inverses?

Question

Are –3 2–1212 and –1 4–1 6 multiplicative inverses?

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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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