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2.8 is a rational number

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9y ago

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Is 0.5555 rational or irrational?

0.555 is rational , because it can be converted to a fraction. As given in the question it is a terminating decimal. Hence 0.5555 / 1.0000 Cancel down the decimal point. = 5555/10000 Cancel down by '5' 1111/2000 Is the fraction. However, I think you mean 0.5555.... ( Note the three or more dots , which indicates to mathematicians, that the decimal recurs to infinity. To convert to a fraction. Ler P = 0.5555..... 10P = 5.5555.... Subtract 9P = 5 ( Note ; the recurring decimals subtract to zero). P = 5/9 Hence 0.5555..... = 5/9 NB Decimals that are in a regular order, but recur to infinity, can be converted to a fraction. e.g. 0.123123123..... , or 0.179179179.... and are rational . However, decimals that are in an irregular and recur to infinity, cannot be converted to a fraction. e.g. 0.141592...... are are irrational .


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