Is 0.5555 rational or irrational

Answer 1

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 .

Answer 2

Is the square root of 28 rational or irrational

Answer 3

rational