Define rational numbers and give an example.
Answers
Answer:
Any number that can be written as a fraction with integers is called a rational number. For example, 17 and −34 are rational numbers (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)
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Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.
In Maths, a rational number is a type of real numbers, which is in the form of p/q where q is not equal to zero. Any fraction with non-zero denominators is a rational number. Some of the examples of rational number are 1/2, 1/5, 3/4, and so on. The number “0” is also a rational number, as we can represent it in many forms such as 0/1, 0/2, 0/3, etc. But, 1/0, 2/0, 3/0, etc. are not rational, since they give us infinite values. Also, check irrational numbers here and compare them with rational numerals.
To identify if a number is rational or not, check the below conditions.
It is represented in the form of p/q, where q≠0.
The ratio p/q can be further simplified and represented in decimal form.
The set of rational numerals:
Include positive, negative numbers, and zero
Can be expressed as a fraction
Some examples of rational numbers include: The number 8 is rational because it can be expressed as the fraction 8/1 (or the fraction 16/2) the fraction 5/7 is a rational number because it is the quotient of two integers 5 and 7 the decimal number 1.5 is rational because it can be expressed as the fraction 3/2