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are decimals rational numbers?
are decimals rational numbers?
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A repeating decimal can be written as a fraction, so any repeating decimal is a rational number.
And terminating decimals are rational numbers =]
-parkeranne
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If a decimal terminates or can be expressed as a fraction it is a rational number.
The person below me was mostly right (the one with the most detailed answer) however, if a number has a bunch of decimals with no pattern, but the decimals stop at some point, it is rational. Decimals that go on forever but have some sort of pattern are not necessarily rational. Root of two has a sort of pattern to it, but all numbers in a square root sign are irrational, same with certain numbers such as pi and E, and all imaginary numbers (you may start on this is grade eleven math). Most numbers that repeat for example 5.5555555(assuming this decimal never ends) are rational because they can be expressed as a fraction. For example, the above number was really 50/9 ((1/9) is 0.111111111111111111111111111), but not all numbers with a "pattern" are rational (just most).
An easy way to think of it is, whenever he question asks for an irrational answer, keep your pis and your square root signs =]
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it depends. decimals such as .4, .56, .7284, or the fractions 1/3, 2/3, etc. are rational numbers because they either terminate (.4 ends right there), OR they are repeating decimals (1/3 is .333333333, so on and so forth). an irrational number would be pi (3.1415... so on and so forth, no specific pattern) or something of that nature. so, for example, if you are asked on an assignment if 4/5 is a rational number, then think of it this way. 4/5 is the same as .8, and since that is a terminating decimal, then yes, it is a rational number. if you need any more math help, feel free to ask :)
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some but not all decimals are rational numbers
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as long as they either terminate or have a repeating pattern (like 1/3 is .3333333 etc) but if it doesn't have an apparent pattern like pi (3.14159265 etc.) then its irrational
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