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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.
How do you tell if a number is irrational?
If it is a terminating or recurring decimal then it is not irrational. If it is an infinite, non-recurring decimal, it is irrational.
decimal expansion of irrational number is non terminating and?
The decimal expansion of an irrational number is non terminating and non recurring
What kind of decimal is pi?
It is a non non-terminating, non-recurring decimal. It is an irrational number.
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.
Why does pi continue infinitely?
Because it has been proven to be an irrational number. And an irrational number cannot have a terminating or recurring decimal representation.
What are the characteristic of irrational?
An irrational number cannot be expressed as a ratio of two integers. The decimal representation of an irrational number is a non-terminating and non-recurring.
Is a terminating decimal irrational?
An irrational number is a number that has no definite end and a terminating number is a number that has a definite end. So this means that a decimal that is terminating cannot be irrational.
Is - 0.29292929292929 a rational number or an irrational number?
Any terminating decimal or repeating decimal is a rational number.-0.29292929292929 iseither a terminating decimal of the fraction -29292929292929/100000000000000or meant to be a recurring decimal (0.2929...) with the '29' recurring forever of the fraction 29/99Either way, it is a rational number.
Can an irrational number be expressed as a decimal?
Only as an approximation. An irrational number is equivalent to a non-terminating, non-recurring decimal. That is, an infinitely long decimal number without any repeating pattern.
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 pi a terminating or a repeating decimal?
It is non-terminating decimal and therefore it is an irrational number
