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It is the set of rational numbers.

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Q: What is The set of numbers expressed in the form of a fraction ab where a and b are integers and b can't equal zero?
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What type of numbers cannot be written as a fraction pq where p and q are integers and q is not equal to zero?

Irrational numbers, such as √2 or π, cannot be written as a fraction pq where p and q are integers and q is not equal to zero. These numbers cannot be expressed as a ratio of two integers and are non-repeating and non-terminating decimals.


What is a ration number?

A rational number is a number that can be expressed as the quotient (i.e. ratio or fraction) of two integers. ( Integers are rational since any integer, n ,can be written as n/1 )Rational numbers are numbers that can be expressed as fractions whereas Irrational Numbers cannot be expressed as fractionsA rational number is a number that terminates or ends. As in a perfect square like: 144; 36; 625 etc.More specifically, a rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. 1.37, for instance, is rational because it can be expressed as 137 / 100.It is any whole number even if it's a negative numberAny number that can be expressed as a fraction is a rational number whereas irrational numbers can't be expressed as a fractions.In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.


What describes an irrational number?

The basic definition is that a rational number can be expressed as a fraction, with integers in the numerator and the denominator; if such a representation is not possible, you have an irrational number. For example, 1/3, 5/2 and 7 (which is equal to 7/1) are rational numbers; the square root of 2, pi, and e are irrational, because it has been proven that none of them can be expressed as a fraction with integers.


How are integers and rationals numbers different?

All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.


What are irrational and rational numbers?

Rational numbers are any numbers that can be expressed as a fraction. For example 1/3, 1/2, and 2. Irrational numbers are numbers that can not be expressed as a fraction. Some examples are Pi, the square root of 2, and e. Both rational and irrational numbers are real numbers. Unlike imaginary numbers like the square root of -1.An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.Rational and irrational numbers are both subsets of real numbers, together they make up the set of what we call real numbers.If you have trouble remembering which is which, just think of rational numbers as fractions, or numbers that can be written as a/b where a and b are integers. Remember that b can equal 1 so [2 = 2/1]. Therefore all integers, as well as whole and natural numbers are also rational numbers.Irrational numbers are real numbers that are not rational. One way that people describe Irrational is the answer goes on and on forever and does not have a repeating pattern. Two classic examples are Pi (3.14159...), and the base of the natural log e (2.7128...).Rational, when expressed in decimal form, can stop (terminate) at a certain point or it may have a pattern of digits which repeats forever. An example of a rational that repeats is 1/3. Certainly it is written as a/b with a and b both being integers, but its decimal representation is 0.333.... where in this case the dots mean that the (3) repeats forever.There is a hierarchy of numbers and understanding it sometimes helps remember and understand the differences.At the top of the hierarchy are the complex numbers. Next come the real numbers and then then rational numbers. Next comes the integers, then the whole numbers and last the natural numbers.An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.

Related questions

What type of numbers cannot be written as a fraction pq where p and q are integers and q is not equal to zero?

Irrational numbers, such as √2 or π, cannot be written as a fraction pq where p and q are integers and q is not equal to zero. These numbers cannot be expressed as a ratio of two integers and are non-repeating and non-terminating decimals.


Can any fraction made up of two whole numbers be rational?

In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since all whole numbers are integers, all fractions made up of whole numbers will be rational.


Why is 1 rational?

Because the number 1 can be expressed as a ratio (or fraction) of two integers (a/b) where b not equal zero. Example: 1/1, 2/2, (-52)/(-52), all equal one. See related link. All whole numbers and integers are rational numbers.


What is a ration number?

A rational number is a number that can be expressed as the quotient (i.e. ratio or fraction) of two integers. ( Integers are rational since any integer, n ,can be written as n/1 )Rational numbers are numbers that can be expressed as fractions whereas Irrational Numbers cannot be expressed as fractionsA rational number is a number that terminates or ends. As in a perfect square like: 144; 36; 625 etc.More specifically, a rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. 1.37, for instance, is rational because it can be expressed as 137 / 100.It is any whole number even if it's a negative numberAny number that can be expressed as a fraction is a rational number whereas irrational numbers can't be expressed as a fractions.In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.


Which type of numbers can be written as a fraction plq where p and q are integers and q is not equal to zero?

rational numbers


What type of numbers can be written as a fraction plq where p and q are integers and q is not equal to zero?

rational numbers


What describes an irrational number?

The basic definition is that a rational number can be expressed as a fraction, with integers in the numerator and the denominator; if such a representation is not possible, you have an irrational number. For example, 1/3, 5/2 and 7 (which is equal to 7/1) are rational numbers; the square root of 2, pi, and e are irrational, because it has been proven that none of them can be expressed as a fraction with integers.


How are integers and rationals numbers different?

All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.


What are irrational and rational numbers?

Rational numbers are any numbers that can be expressed as a fraction. For example 1/3, 1/2, and 2. Irrational numbers are numbers that can not be expressed as a fraction. Some examples are Pi, the square root of 2, and e. Both rational and irrational numbers are real numbers. Unlike imaginary numbers like the square root of -1.An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.Rational and irrational numbers are both subsets of real numbers, together they make up the set of what we call real numbers.If you have trouble remembering which is which, just think of rational numbers as fractions, or numbers that can be written as a/b where a and b are integers. Remember that b can equal 1 so [2 = 2/1]. Therefore all integers, as well as whole and natural numbers are also rational numbers.Irrational numbers are real numbers that are not rational. One way that people describe Irrational is the answer goes on and on forever and does not have a repeating pattern. Two classic examples are Pi (3.14159...), and the base of the natural log e (2.7128...).Rational, when expressed in decimal form, can stop (terminate) at a certain point or it may have a pattern of digits which repeats forever. An example of a rational that repeats is 1/3. Certainly it is written as a/b with a and b both being integers, but its decimal representation is 0.333.... where in this case the dots mean that the (3) repeats forever.There is a hierarchy of numbers and understanding it sometimes helps remember and understand the differences.At the top of the hierarchy are the complex numbers. Next come the real numbers and then then rational numbers. Next comes the integers, then the whole numbers and last the natural numbers.An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.


What are rational numbers that are also integers?

All integers {..., -2, -1, 0, 1, 2, ...} are rational numbers because they can be expressed as p/q where p and q are integers. Let p equal whatever the integer is and q equal 1. Then p/q = p/1 = p where p is any integer. Thus, all integers are rational numbers.


What is 23 hundredths?

Expressed as a decimal fraction, this is equal to 0.23. Expressed as a proper fraction, this is equal to 23/100.


What is 63 out of 100 as a fraction?

Expressed as a vulgar fraction, this is equal to 63/100.Expressed as a decimal fraction, 63/100 is equal to 0.63.