# What is the reciprocal of a positive rational number?

It is another positive rational number. The reciprocal of p/q is q/p.

### Is the reciprocal of every rational number possible?

No. 0 is rational and has no reciprocal.

### Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?

Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.

### The product of rational number and its reciprocal?

Is '1' Any number multiplied with its reciprocal is equal to '1'

### What types of numbers can you multiply together to get a rational number?

You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.

### Why will sin and cosecant have the same sign?

The cosecant is the reciprocal of the sine function. Now, the reciprocal of a positive number is positive, and the reciprocal of a negative number is negative.

### What pattern is there between a rational number and its reciprocal?

If the rational number is in the form of a proper or improper fraction, just exchange the numerator and the denominator. Thus, the reciprocal of 7/4 is 4/7.

### What postive number is its own reciprocal?

1 is the only positive number that is its own reciprocal. -1 is the negative number that is its own reciprocal.

### Is the number positive if the power is negative?

It does not work that way. A negative power is simply the reciprocal. So that x-a = 1/xa The reciprocal is negative or positive according to whether the number itself is negative or positive. [And, if the number is 0, the reciprocal is not defined.]

### Every positive rational number and its negative pair?

Every positive rational number and its negative are the two square roots of the same positive rational number.

### What is reciprocal of rational number?

A rational number can be written in the form of a fraction, which is one integer divided by another integer. If you flip a fraction over, so that the top number (the numerator) turns into the bottom number (the denominator) and the bottom number becomes the top number, then that is called the reciprocal of that fraction (it can also be called the inversion of that fraction). So for example, two thirds is a rational… Read More

### Is a positive number a rational or irrational number?

Positive numbers can be either rational or irrational.

### How do multiplication and division of rational number relate to one another?

Division by a non-zero rational number is equivalent to multiplication by its reciprocal.

### What is reciprocal of a rational number?

Just turn it upside down as for example 3/4 reciprocal is 4/3

### Which is larger a positive rational number or a negative rational number?

Any positive number is always bigger than a negative number - whether they are rational or irrational.

### How can you know if a negative number is a rational number or not?

If its positive version is rational then it is rational and if not, it is not.

### Is a rational number the same as an integer?

no. an integer is a whole, positive number, a rational number can be positive, negative, or a fraction

### How is multiplying and dividing rational numbers similar?

Dividing by a non-zero rational number is the same as multiplying by its reciprocal.

### What positive number is the same its reciprocal?

The answer is 1. Reciprocal is the quantity obtained by dividing the number one by a given quantity. The reciprocal of x is 1/X. The only positive integer that is itself when divided into 1 is 1.

### What is the positive rational number and positive irrational number that are smaller than 0.000001?

Positive rational = 0.0000000001Positive irrational = 0.0000000001*pi

### How can a rational number be positive?

A rational number is simply a number that can be expressed as a fraction, with integer numerator and denominator. Such a number can be positive, negative, or zero. A rational number is simply a number that can be expressed as a fraction, with integer numerator and denominator. Such a number can be positive, negative, or zero. A rational number is simply a number that can be expressed as a fraction, with integer numerator and denominator… Read More

### The reciprocal of a positive number is?

It should also be a positive number. Let x be the numerator and y be the denominator. So you have +x/+y, the reciprocal would be +y/+x.

### What is the product of a positive rational number and a negative rational number?

Negative. Only like x like = positive

### How are multiplying and dividing rational numbers related?

Dividing by a rational number (other than zero) is simply multiplication by its reciprocal.

### What is greater zero or any positive or rational number?

There is no simple answer: Zero is smaller than any positive number.Zero can be larger or smaller than a rational number.A rational number can be larger or smaller than a positive number.

### Can a rational number be positive?

a rational number is any number that can be expressed as p/q where p and q are both integers. Since integers can most definitely be positive-- you might know them as the set of Natural numbers-- then yes, a rational number can be positive.

### Is positive 95 a rational or irrational number?

That is a rational number, as are all of the integers.

### Is rational number positive or negative?

The sign of a number has no bearing on whether or not it is rational.

### What is the minimum value of sum of a positive real number and its reciprocal?

This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).

### Is a neagtive a rational number?

Any number negative or positive that can be expressed as a fraction is a rational number.

### Can rational numbers be negative?

Any rational positive number is still rational when you make the same number negative.

### Why are every positive rational number greater than every negative rational number?

It is because of the way in which positive and negative numbers are defined.

### What is the property of the reciprocal of the opposite of a number?

The property of the reciprocal of the opposite of a number is: Reciprocals of inverse values are themselves inverse values. i.e. for b = (-1)a , the reciprocal 1/b = (-1) 1/a The negative or positive status of a reciprocal is the same as that of the original number.

### Is there a smallest positive rational number?

1/infinity? * * * * * Nice idea but unfortunately that is not a rational number, which is defined as the ration of two integers, x/y where y > 0. Since infinity is not an integer, the suggested ratio is not a rational number. The correct answer is that there is no such number. If any number laid claim to being the smallest positive rational, then half of that number would have a better claim… Read More

### Why is negative 3 a rational number?

Any integer, whether it is positive or negative, is a rational number.

### What happens when you multiply any positive number by a rational number between 0 and 1?

Wgat happens whe you multiply and positive number by a rational number between 0 and 1?

### Is the number 88 a rational number?

Yes, the number 88 is rational. A "rational number" is any number that can be expressed as a ratio of integers. That is A/B where A and B are integers, and not zero. Rational numbers include all positive and negative integers and all positive and negative fractions (and mixed numbers when expressed as a fraction).

### What is a negative rational number?

It is any number that can be expressed in the form a/b where a is a negative integer and b is a positive integer.

### Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?

The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.

### How do you divide a negative number by a positive fraction?

You multiply the negative number by the reciprocal of the fraction.