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May 24th

May 24th

Estimating Products and Quotients of Mixed Numbers

As with adding or subtracting mixed numbers, it is important to check our answers when multiplying or dividing. We can check a product or a quotient of mixed numbers by estimating the answer and then confirming that our estimate and answer are reasonably close.

Checking a Product by Estimating

Because is near 16, is a reasonable answer.

Checking a Quotient by Estimating

Because 2 is near , is a reasonable answer.

EXAMPLE

Simplify and check:

Solution

Following the order of operations rule, we work from left to right, multiplying the first two mixed numbers.

Then we divide 20 by to get the answer.

Now let’s check by estimation.

Our answer, , and our estimate, 7, are reasonably close, confirming the answer.

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