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How do you know if a decimal is rational or irrational?
A decimal is rational if it:either ends and doesn't go on forever; ORit is a repeating decimal.A decimal is irrational if it goes on forever and ever and never stops without repeating.The number: 5.77777777 is rational because it goes on forever, REPEATING the same number (the digit 7).It can also repeat a group of numbers, like the number: 8.789789789789789789See how the "789" is REPEATING over and over again and never stops? That is a rational decimal!
What number goes on forever?
A recurring decimal (caused by the denominator of a fraction have a prime factor other than 2 and 5) or an irrational number (such as √2) goes on forever.
What is 1000 divided by 30?
33.3333
What is the line over a decimal that goes on forever called?
periodic line
Is 1.4 rational or irrational?
Any number which can be written exactly with a limited set of figures is "rational". Numbers which cannot be written with a limited set, because the decimal number goes on for ever is "irrational". So 1.4 is rational because it takes only 2 figures to write its value exactly.
