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Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since Irrational Numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.
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Is the decimal form of an irrational number is a repeating decimal?
No.
Why can't irrational number be represented as decimal form?
Any terminating or repeating decimal number can be converted easily into the form of p/q: a ratio of two integers. If it can be written in that form then it is rational.
Is the decimal form of an irrational number a repeating decimal?
An irrational number must not have a repeating sequence. If we have a number, such as 0.333333...., we can turn this into a rational number as such.Let x = 0.333333......, then multiply both sides by 10:10x = 3.333333......Now subtract the first equation from the second, since the 3's go on forever, they will cancel each other out and you're left with:9x = 3. Now divide both sides by 9: x = 3/9 which is 1/3, a rational number equal to 0.3333333....If a number can be expressed as the ratio a/b, where a and b are integers (with the restriction that b not equal zero), then the number is rational. If you cannot express the number as such, then it is irrational.
What is the decimal form of 17 square root?
√17 is irrational (a never repeating, never ending) decimal. √17 ≈ 4.1231
What is the square root of 168 in a decimal form?
It is an irrational number and as a decimal number it has no ending
Is the decimal form of an irrational number is a repeating decimal?
No.
Why can't irrational number be represented as decimal form?
Any terminating or repeating decimal number can be converted easily into the form of p/q: a ratio of two integers. If it can be written in that form then it is rational.
Is The decimal form of an irrational number is a repeated decimal?
No it is not.
Is the decimal form of an irrational number a repeating decimal?
An irrational number must not have a repeating sequence. If we have a number, such as 0.333333...., we can turn this into a rational number as such.Let x = 0.333333......, then multiply both sides by 10:10x = 3.333333......Now subtract the first equation from the second, since the 3's go on forever, they will cancel each other out and you're left with:9x = 3. Now divide both sides by 9: x = 3/9 which is 1/3, a rational number equal to 0.3333333....If a number can be expressed as the ratio a/b, where a and b are integers (with the restriction that b not equal zero), then the number is rational. If you cannot express the number as such, then it is irrational.
What is the decimal form of 17 square root?
√17 is irrational (a never repeating, never ending) decimal. √17 ≈ 4.1231
What is the square root of 168 in a decimal form?
It is an irrational number and as a decimal number it has no ending
Is 0.712 repeating a rational number is a irrational?
0.712 repeating is a rational number because it can be expressed as a fraction in the form of 712/999
What is a rational number in decimal form that has a finite number of digits after the decimal point?
I think it's a repeating decimal.
Is 3.40764076407640764076 rational or irrational?
3.407640764076407640764076(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. ---- 3.407640764076407640764076 = 3407640764076407640764076/1000000000000000000000000 Which is of the form of one_integer/another_integer so it a rational number. 3.4076... (where the 4076 repeats forever): 3.4076... = 34076/9999 = 34073/9999 Again of the form of one_integer/another_integer so it a rational number. Either way, 3.4076...4076 is a rational number. Decimal numbers that terminate, or go on forever with repeating a sequence of digits are rational. Decimal numbers that go on forever without repeating a sequence of digits are irrational, eg √2.
Repeating decimal definition?
A repeating decimal is a number expressed in decimal form in which, after a finite number of miscellaneous digits, the number continues with a string of a finite number of digits which repeats itself without end.
What are the irrational?
Irrational numbers are a subset of real numbers which cannot be written in the form of a ratio of two integers. A consequence is that their decimal representation is non-terminating and non-repeating.
Can a rational number have a decimal point?
Yes, for example 3/2 can be written as 1.5. All rational numbers have either a decimal expression of finite length or a repetitive pattern, unlike an irrational number, which goes on for ever when written in decimal form, never repeating.
