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In Mathematics / Middle School | 2014-10-23

The product of a number and its reciprocal is one.

Asked by amberbretz

Answer (2)

The answer is reciprocal .
The reciprocal of a number is any fraction flipped. The numerator becomes the denominator and the denominator becomes the numerator. If you are dealing with a whole number, it's reciprocal will have a one in the numerator.
Here are two examples:
7 ∗ 7 1 ​ = 1 ∗ 7 7 ∗ 1 ​ = 7 7 ​ = 1
8 5 ​ ∗ 5 8 ​ = 8 ∗ 5 5 ∗ 8 ​ = 40 40 ​ = 1

Answered by iloveonedirection | 2024-06-10

The product of a number and its reciprocal is always one, as the definition of a reciprocal is one divided by that number. For any number x , multiplying it by its reciprocal x 1 ​ results in 1. This is important in understanding multiplication and division, especially with fractions.
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Answered by iloveonedirection | 2024-10-13