Is 0.676767 a rational number

Answer 1

Yes.

Rational numbers are those number which can be represented as fractions.

All decimals which terminal or end in recurring digits can be represented as fractions and are rational numbers.

If you mean the exact decimal 0.676767 it is 676767/1000000 as a fraction.

If you mean the recurring decimal 0.676767... it is 67/99 as a fraction.

Answer 2

YES!!! As written in the question 0.676767 is a terminal fraction, because it can be converted to a Ratio/Fraction.

0.676767 = 676767/1000000

However, if you mean 0.676767 repeating to infinity , then it shoukld be written as '0.676767... ' (Note the three dots after the last decimal digit).

This is also a rational number and converts to a ratio by the following method.

Let P = 0.676767....

Then

100P = 67.676767....

Subtract

99P = 67 (Note the repeating decimals subtract to zero.

P = 67/99 This is the most reduced form of the fraction.

0

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Answer 3

Yes, 0.676767 is a rational number. A rational number is any number that can be expressed as a fraction of two integers. In this case, 0.676767 can be written as 676767/1000000, which is a ratio of two integers and therefore a rational number.

Answer 4

I think no because it is going on and on.