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No. Any fraction can be written as a repeating decimal - and vice versa. For example, take the repeating decimal (which I call "x"):
x = 0.4123123123...
Now multiply that by 1000:
1000x = 412.3123123123...
Subtract the first quation from the second, and you get:
999x = 411.9
Solving for x:
9990x = 4119
x = 4119/9990
This is a fraction of whole numbers, therefore, a rational number.
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RossYes.
Irrational Numbers are never-ending numbers.
Examples: Pi, repeating decimals, imperfect squares
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Is the decimal form of an irrational number is a repeating decimal?
No.
What type of decimal is an irrational number?
An irrational number has a decimal representation that is non-terminating and non-repeating.
What is nonterminating and not repeating decimal?
It is an infinite non-repeating decimal which represents an irrational number.
Can an irrational number be written as a repeating number or terminating decimal?
No.
Is 5.56776436283 an irrational number?
Yes, 5.56776436283 is an irrational number. An irrational number cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal expansion. Since the decimal representation provided appears to be a non-repeating decimal, it indicates that the number is irrational.
