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Why decimal is considered as rational number?
A decimal need not be a rational. A non-terminating, non recurring decimal is an irrational number. Only a terminating decimal or a recurring decimal is rational and that is because such a number can be expressed as a ratio of two integers.
Can an irrational number be expressed as a terminating decimal?
No, irrational numbers can't be expressed as a terminating decimal.
What does an irrational look like?
An irrational number is one which cannot be expressed in the form of a ratio of two integers. This implies that it cannot be represented by a terminating or recurring decimal number.
Is 13.001001001 a rational or irrational number and why?
A rational number is a number that can be expressed as a fraction. This means it can either be a terminating decimal or a recurring decimal. A terminating decimal is a decimal that doesn't recur (repeat for ever). A recurring decimal is a decimal that repeats a pattern of numbers after the decimal point. A good example of this is 1/3. 1/3 = 0.333333.... it is a rational number 13.001001001 is a rational number. Either you meant it to recur or not it makes no difference. 13.001001001 = 13 + 1001001/1000000000 as a terminating decimal 13.001001001....... = 12988/999 as a recurring decimal ---- Examples of numbers that are not rational: sqrt(2), pi, exp they are irrational as they cannot be expressed as fractions.
What type of decimal is an irrational number?
An irrational number has a decimal representation that is non-terminating and non-repeating.
