What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
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.
Is '1' Any number multiplied with its reciprocal is equal to '1'
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.
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.
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.
A positive rational number.
1 is the only positive number that is its own reciprocal. -1 is the negative number that is its own reciprocal.
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 are the two square roots of the same positive 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
Positive numbers can be either rational or irrational.
Any positive rational number.
Any positive rational number.
Division by a non-zero rational number is equivalent to multiplication by its reciprocal.
Just turn it upside down as for example 3/4 reciprocal is 4/3
Any positive number is always bigger than a negative number - whether they are rational or irrational.
If its positive version is rational then it is rational and if not, it is not.
no. an integer is a whole, positive number, a rational number can be positive, negative, or a fraction
Zero, since you can't divide by zero.
Dividing by a non-zero rational number is the same as multiplying by 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.
A positive rational number.
Positive rational = 0.0000000001Positive irrational = 0.0000000001*pi
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
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.
Negative. Only like x like = positive
Dividing by a rational number (other than zero) is simply multiplication by its reciprocal.
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.
Zero is rational, but it is neither positive nor negative.
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.
A positive number, and also rational.
That is a rational number, as are all of the integers.
The sign of a number has no bearing on whether or not it is rational.
This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).
Any number negative or positive that can be expressed as a fraction is a rational number.
Any rational positive number is still rational when you make the same number negative.
It is because of the way in which positive and negative numbers are defined.
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.
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
Any integer, whether it is positive or negative, is a rational number.
Wgat happens whe you multiply and positive number by a rational number between 0 and 1?
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).
0.50 is a positive rational number but not a positive integer.
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.
It is a positive rational number.
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.
You multiply the negative number by the reciprocal of the fraction.