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When the number is between 0 and 1, or less than -1

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13y ago

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When is the reciprocal of a number greater than the number and when is it less than the number?

When a number is a fraction, the reciprocal will always be greater than the original number. When the original number is a whole number, the reciprocal will be a fraction, which is less than a whole number.


If a fraction is greater than what do you know its reciprocal?

If a fraction is greater than a positive number x, then its reciprocal is between 0 and 1/x.


Is the reciprocal of a number less than one greater than one?

Yes


Why is the reciprocal of a mixed number always less than the number 1?

A mixed number must have an integer part (and a fractional part). Consequently, a mixed number must be greater than one. The reciprocal of a number greater than one is less than one (and conversely) since the two, when multiplied together, make 1.


If a fraction is less than 1 what do you know about its reciprocal?

Its reciprocal is either less than 0 or greater than 1.


Is 3-4 greater than its reciprocal?

7


What is the Reciprocal whole number?

There is no name other than a reciprocal whole number.


Is the reciprocal of an integer always less than the integer?

No. In fact, the reciprocal of 0 is not defined.


The reciprocal of two more than a number is three times the reciprocal of the number Find the number?

-3


The reciprocal of two more than a number is three fourths of the reciprocal of the number itself What is the number?

6


The reciprocal of two more than a number is three times the reciprocal of the number. Find the number.?

-3


The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number Find the number?

10