0.26 ,0.2616 bar 16 which one is irrational number
To determine which number is irrational between 0.26 and 0.2616, we need to check if either of these numbers can be expressed as a ratio of two integers. If a number can be written as a fraction, it is rational; otherwise, it is irrational.
Let's examine each number separately:
1. 0.26: This number can be written as 26/100. By simplifying the fraction, we get 13/50. Since 13/50 is a ratio of two integers, 0.26 is rational.
2. 0.2616: To check if this number is rational, we can try to express it as a fraction. By multiplying both sides by 10000, we get 2616 = 2616/10000. Simplifying the fraction, we obtain 327/1250. Since 327/1250 is a fraction of two integers, 0.2616 is rational.
Since both numbers can be expressed as fractions, neither 0.26 nor 0.2616 is irrational.