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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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Yes

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.

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

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

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

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 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.

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.

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.

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.

10

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

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.

It can be greater than or less than it.

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

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.

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.

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

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

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

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

It will be greater.

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.

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 ? ? ?

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

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