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Actually, a repeating decimal is not necessarily an irrational number. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. While some repeating decimals can be irrational, such as 0.1010010001..., others can be rational, like 0.3333... which is equal to 1/3. Irrational Numbers are numbers that cannot be expressed as a simple fraction, and they have non-repeating, non-terminating decimal representations.
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Are repeating decimals an irrational number?
A repeating decimal is a rational number. Its value is(the repeating set of digits)/(as many 9s as there are digits above).
Is a repeating decimal multiplied by a variab an irrational number?
No, the product is a variable and whether or not it is irrational will depend on the value of the variable.
What do you do to check whether a number is rational or irrational?
If its decimal representation is either terminating or a repeating number then it is rational. Otherwise it is irrational.
Is a negative repeating decimal rational or irrational?
it is irrational because you just keep writing the same number over and over again!
Is 3.3166247903554 a rational number?
No, it is irrational because the decimal goes on without repeating.
