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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.

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Q: When is the reciprocal of a number greater than the number and when is it less than the number?
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Related questions

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.


When is the reciprocal of a number greater than the number?

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


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.


When you divide a whole number by a fraction less than 1 will the quotient be greater or less than the whole number?

Generally, the quotient of a whole number divided by a fraction will be greater than that whole number, because division is simply multiplying the dividend by the reciprocal of the divisor. For instance: 2 / (1/2) = 2 * (2/1)


The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?

The above statement is not true!-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.


True or false the opposite of a number is less than the number?

False. Apart from the fact that there is no such thing as an opposite. If, by opposite, you mean negative (additive inverse), then start with a negative number. The negative of this will be positive, and so greater. If by opposite you mean the reciprocal (multiplicative inverse), start with a positive number less than one or a negative number less than -1.


Why is reciprocal of a fraction less than 1 is always greater than 1?

Proper fractions are less than one.. Their numerators re less than their denominators. Their reciprocals have numerators greater than their denominators, making them improper. Improper fractions are greater than 1.


Why is the reciprocal of a fraction less than one always a fraction greater than one?

A positive fraction that is less than one is known as a proper fraction. In a proper fraction, the denominator is greater than the numerator. A reciprocal fraction would have a numerator greater than the denominator. Such a fraction is known as an improper fraction. Improper fractions are greater than one.


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

10


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

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


Why is the recipical of A fraction less than one is always a fraction greater than one?

Fractions that are less than one are known as proper fractions. Their denominators are greater than their numerators. Their reciprocals would have numerators greater than their denominators, making them improper. Improper fractions are greater than one.


Is the product of fraction less than 1 and a whole number greater than or less then the whole number?

It can be greater than or less than it.


How can you tell whether the percent of a number will be greater than less than or equal to the number?

100% equals the number. Less than 100% is less than the number. Greater than 100% is greater than the number.


What is a greater number less than 50?

There is no such number. For if you considered 49.99 to be such a number, then 49.995 is a greater number and it is less than 50. And then 49.9955 is even greater and still less than 50. This process can go on without end.


Is it possible to divide 15 by a mixed number and get a quotient that is greater than 15?

No. A mixed number is greater than 1 since it has a non-zero whole number (which is at least 1) and a fraction (which is greater than 0); any number divided by a number greater than 1 will be less than the original number. So 15 divided by a mixed number will be less than, not greater than, 15.


What fraction is less than one third?

The reciprocal of any number greater than 3. For example 1/4, 1/5, 1/6 etc.


What number less than 5 and also greater than 10?

A number can't be both less than 5 and greater than 10.


What is a prime number greater than 25 but less than 30?

Prime number greater than 25 but less than 30 is 29.


Why is the quotient greater than a whole number less than one?

The quotient need not be greater than a whole number less than one!


When you divide a mixed number by a fraction less than 1 will the quotient be greater or less than the whole number?

It will be greater.


Is a negative greater or less than a positive number?

A negative number is less than a positive number. Think about it this way: a negative number is less than 0. A positive number is greater than 0. Therefore, a negative number must be less than a positive number.


Is the reciprocal of a non zero number less than 1?

Reciprocal of any non - zero number [other than 1 (because reciprocal of 1 is 1)]is always less than '1' .============================The first contributor disputes the change:Sorry, Anu. What about the non-zero number 0.5, whose reciprocal is 2 ? ? ?


What prime number is less than 52 and greater than 43?

47 is the prime number greater than 43 and less than 52.

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