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That is the definition of reciprocal.

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Q: Why is dividing by a number the same as multiplying by its reciprocal?
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Related questions

Dividing by a nonzero number is the same as multiplying by the?

What is the inverse reciprocal of 0.01


How is multiplying and dividing rational numbers similar?

Dividing by a non-zero rational number is the same as multiplying by its reciprocal.


Why does the method of dividing fractions work?

This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.


Why do you have to switch the numerator and denominator when dividing fractions?

This is because dividing by a number is the same as multiplying by its reciprocal.


What operation is the same as dividing by a fraction?

Multiplying by the reciprocal of the fraction.


Dividing one third is the same as multiplying by what number?

Dividing by any fraction is the same as multiplying by that fraction's reciprocal. To find a fraction's reciprocal on a calculator, simply raise the fraction to the power of -1. In this case, dividing by 1/3 is the same as multiplying by (1/3)-1 = 3. For example, 8 / 1/3 = 8 x 3 = 24


Why is the answer to 8 divided by 0.66 exactly half of the answer to 8 divided by 0.33?

0.66 is exactly double 0.33. Since dividing by a number is the same as multiplying by its reciprocal, dividing by double a number is the same as multiplying by half the number. As a result, the answer is half as large.


0.935 divided by 0.5?

1.87


Why is dividing by a fraction the same as multiplying by its reciprocal?

Because by definition division , by a non-zero number is the inverse operation to multiplication.


Multiplying by the reciprocal of a rational expression is the same as by the original expression?

It is the same as dividing by the original expression.


Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?

Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.


Does dividing by 4 result in the same answer as multiplying by the reciprocal of 4?

16