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Can the denominator of a rational number be used as any integer?
Wiki User
∙ 8y ago
No. 3/(1/7) is a rational number. However, (1/7) cannot be used as an integer. Incidentally, the number equals 21.
Wiki User
∙ 9y ago
Wiki User
∙ 8y agoAll but zero.
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What are some examples of a fraction but not a rational number?
A rational number is a fraction with an integer in the numerator, and a non-zero integer in the denominator. If you consider pi/2, pi/3, pi/4 (common 'fractions' of pi used in trigonometry) to be 'fractions', then these are not rational numbers.
Is 3.14 an irrational number a rational number or an integer?
3.14 is rational. However, it is often used as an approximation for pi, which is irrational.
How do you write 1.12 as a fraction?
112 is an integer and not a fraction. However, it can be expressed in rational form as 112/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.
Is every rational number a fraction?
Every fraction is a rational number, but not every rational number is a fraction.A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).*A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.Both 22/7 and 1/3 are fractions, therefore they are both rational numbers. They also are repeating decimals, as 22/7 = 3.142857142857142857... (notice that the 142857 repeats) and as 1/3 = .333...An irrational number, on the other hand, neither terminates nor repeats.(The confusion about 22/7 may come because that fraction is often used to represent the number pi. It is not the number pi, just an approximation. The number pi is a decimal that begins 3.1415... and continues on without terminating or repeating. )But even though every fraction is a rational number, not every rational number is a fraction. Basically because rational numbers do not have to express a part of a whole. It can express a whole, as in an integer. And an integer is not a fraction.
How are repeating decimals used?
If a non-zero rational number, in its simplest form, has a denominator with any factor other than 2 or 5, the ratio cannot be represented by a terminating decimal. So, repeating decimals are used to represent the vast majority of rational numbers.
What are some examples of a fraction but not a rational number?
A rational number is a fraction with an integer in the numerator, and a non-zero integer in the denominator. If you consider pi/2, pi/3, pi/4 (common 'fractions' of pi used in trigonometry) to be 'fractions', then these are not rational numbers.
Is 3.14 an irrational number a rational number or an integer?
3.14 is rational. However, it is often used as an approximation for pi, which is irrational.
How do you write 1.12 as a fraction?
112 is an integer and not a fraction. However, it can be expressed in rational form as 112/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.
Is every rational number a fraction?
Every fraction is a rational number, but not every rational number is a fraction.A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).*A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.Both 22/7 and 1/3 are fractions, therefore they are both rational numbers. They also are repeating decimals, as 22/7 = 3.142857142857142857... (notice that the 142857 repeats) and as 1/3 = .333...An irrational number, on the other hand, neither terminates nor repeats.(The confusion about 22/7 may come because that fraction is often used to represent the number pi. It is not the number pi, just an approximation. The number pi is a decimal that begins 3.1415... and continues on without terminating or repeating. )But even though every fraction is a rational number, not every rational number is a fraction. Basically because rational numbers do not have to express a part of a whole. It can express a whole, as in an integer. And an integer is not a fraction.
Is 5 34 an integer rational or whole number?
It is probably a rational number but not an integer nor a whole number. I say "probably" because it is difficult to be sure. The browser used by this site for posting questions is all but useless for mathematical questions because most mathematical symbols are rejected.
Are fraction rational number?
A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.But even though every fraction is a rational number, not every rational number is a fraction.Why? Consider this:Every integer (all the whole numbers, including zero, and their negatives....-3,-2,-1,0,1,2,3...) is a rational number, because it can be expressed as a quotient of integers, as in the case of 4 = 8/2 or 1 = 3/3 or -3 = 3/-1 and so on. So integers such as 4 or 1 can be expressed as the quotient of integers.But an integer is not a fraction. 4 is an integer, but it is not a fraction. 4 is not expressed as the quotient of integers. The difference here is in the wording.A fraction is a number that expresses part of a whole. An integer does not express a part. It only expresses a whole number.A rational number is a number that can be expressed as a quotient of integers, or as part of a whole, but fraction is a number that is (must be) expressed as a quotient of integers, or as part of a whole - there is a difference. The difference is subtle, but it is real.In a nutshell, the fractions are a subset of the rational numbers. The rational numbers contain the integers, and fractions don't.Note: Mathematicians do not generally use the term "fractions." They usually only talk about rational numbers. Fractions are more or less a term that is used for pedagogical reasons.It's kind of funny. Someone uses a term not used in math to teach math, then makes up tons of tests about "fractions, improper and proper fractions," etc. and tests you on them, even though they are not mathematical terms. Go figyah!
What does the word contrapositive mean in math?
"contrapositive" refers to negating the terms of a statement and reversing the direction of inference. It is used in proofs. An example makes it easier to understand: "if A is an integer, then it is a rational number". The contrapositive would be "if A is not a rational number, then it cannot be an integer". The general form, then, given "if A, then B", is "if not B, then not A". Proving the contrapositive generally proves the original statement as well.
How are repeating decimals used?
If a non-zero rational number, in its simplest form, has a denominator with any factor other than 2 or 5, the ratio cannot be represented by a terminating decimal. So, repeating decimals are used to represent the vast majority of rational numbers.
Which way of writing the number can be used to show that it is a rational number?
If it can be expressed as a fraction then it is a rational number
What is an integer and how do you use it?
An integer is a whole number. These can be used in many ways like making equations.
What are rational numbers and how are they used?
A rational number is a number that can be written in the form a/b, where "a" and "b" are integers and b is not equal to zero. For example, whole numbers are rational numbers.
Is 8 ot of 23 rational?
The number 8 out of 23 is a rational. This is used in math.
