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Decimal numbers that never end but that end up having a repeating pattern are called recurring decimals or repeating decimals.
Examples would be 1/3 = 0.33333333...
or 452/555 = 0.8144144144144144... (where 144 is the repeating pattern).
Reaching that repeating pattern is known as becoming periodic. Only rational numbers will have a repeating pattern. (The repeating pattern may be 00000, as in 4/2 = 2.00000... .)
If a decimal number continues forever without having a repeating pattern, then it is a irrational number. One example of a number that continues forever without repeating would be π (pi) which continues infinitely without repeating.
Pi is also referred to as a transcendental number.
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Are all decimals irrational numbers?
only decimals that never end and never repeat are irrational. a decimal is rational if it can be written as a fration or ratio of two numbers. for example: .3434343434343434... 100x=34.34343434... -x 99x=34 34/99
What are not the multiples of 5?
All decimals, and all whole numbers that do not end in zero or 5, are not multiples of 5 .
What are terminating and non terminating decimals?
Terminating decimals are decimals that end, such as, 2.384. Non-terminating decimals that don't end, such as, 0.3333333333.......
Is 202002000200002000002000000... a rational number?
Ok, if the number ends there at the zeros right before the ellipses, then yes that would be a rational number. The whole point of a rational number is that it ends. All whole numbers are rational numbers. It's when you get into the decimals that you have irrational numbers. 1/3 for instance is not a rational number. In decimals it is something like 0.3333333...etc. and never ends. The number listed up there has no decimal, meaning it has to end somewhere.
How can you order decimal numbers from least to greatest?
First, cross out any zeroes at the end of the decimal. Then, organize the decimals from decimals starting with one to decimals starting with 9. In these, create sub-categories of 1.0 to 1.9, 2.0 to 2.9, etc. Keep doing this, and everything will be in order.
