What is an rational number and an irrational number? How do you classify if one is an rational or an irrational number?
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What is an rational number and an irrational number? How do you classify if one is an rational or an irrational number?
I need this ASAP
Answer and I'll give a brainliest
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Answer:
Rational Numbers are real numbers that can be written as a ratio of two integers.
Example of Rational Numbers:
1/2
-6/7
*The numerator and denominator of these fractions are integers. Therefore, all fractions are rational numbers.
1.74
-5.92
*Not all decimals are rational numbers. Only terminating decimals or a decimal that has an end are rational numbers.
93/1
-567/1
*All natural numbers, whole numbers and integers are rational numbers because they can be written in the form n/1 where n is the number.
Irrational numbers are also real numbers but they cannot be expressed as the quotient of two integers.
It is the complete opposite of rational numbers since they can't be written as a simple fraction.
Example of Irrational Numbers:
π
*The value of pi is endless and a nonrepeating decimal.
√2
-√59
√8/9
-√11/15
*All square roots of numbers that are not a perfect square are irrational numbers.
0.3030030003...
-3.6055512...
*Decimals that repeats endlessly or repeating decimals are irrational numbers because they are not a ratio of two integers.
You can classify if one is a rational or an irrational number by making sure if it's in final form first. Then identify if it's a whole number, a fraction, a decimal or a nonterminating decimal.
Example:
√9
= 3
*Even though this is a square root, it is a rational number because it can be simplified further to a whole number which is 3.
√25/36
= 5/6
*This fraction with a square root is a perfect square root and its final form is a fraction which is a rational number.
0.888...
*You can also look if there's an infinite sign which is the ellipsis "..." after a decimal number. It means that it's an irrational number.