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Is the reciprocal of a number always 1?

Is the reciprocal of a number always 1?

It’s called the multiplicative inverse, but it’s more commonly called a reciprocal. To understand the reciprocal, you must first understand that every whole number can be written as a fraction equal to that number divided by 1. For example, 6 can also be written as 6/1….Reciprocals and the multiplicative inverse.

x = x
1

Is it possible for a positive number to exceed its reciprocal by exactly 1?

no, A number can be less than its reciprocal . It is not necessarily so.

Is the reciprocal of − 1?

The opposite of −1 is 1 , and the reciprocal of −1 is (1−1)=−1 .

What is the reciprocal of 1 in fraction?

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The reciprocal (also known as the multiplicative inverse) is the number we have to multiply to get an answer equal to the multiplicative identity, 1 . Since 1×1=1 , the reciprocal of 1 is 1 . (The only numbers that are their own reciprocals are 1 and −1 .)

Why the product of any number and its reciprocal is 1?

The reciprocal or multiplicative inverse of a number x is the number which, when multiplied by x , gives 1 . So, the product of a number and its reciprocal is 1 .

What is the reciprocal of 1 upon 2?

2
Explanation: To find the reciprocal of a fraction, interchange the numerator and denominator. Hence, reciprocal of 1/2 is 2.

What is the reciprocal of 1/8 as a fraction?

1
The reciprocal of 1/8 is found by flipping the fraction: 1/8 flipped is 8/1 or 8.

What positive number is equal to its reciprocal?

(ii) The rational numbers that are equal to their reciprocals are 1 and -1. (iii) The rational number that is equal to its negative is 0.

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How many reciprocal numbers are there in between 1 and 1?

And there is no reciprocal for the rational number zero and also it has not having any multiplicative inverse. The 1 and -1 are the two numbers which having reciprocal of its own. Except 1 and -1 no other numbers are not having its own reciprocal. Therefore, the reciprocal of 1 and -1 is 1 and -1.