To determine which of the numbers between 0.22 and 0.33 are irrational, we need to understand what an irrational number is.
An irrational number is a number that cannot be expressed as a fraction or ratio of two integers. These numbers cannot be written as terminating decimals or repeating decimals. They go on infinitely without a pattern.
To determine if a number is irrational, we can check if its decimal representation continues indefinitely without repeating or terminating.
Let's check each of the given numbers between 0.22 and 0.33:
a) 0.25: This number can be written as a fraction, 1/4, so it is a rational number.
b) 0.28: This number can also be written as a fraction, 7/25, so it is a rational number.
c) 0.303: This number can be written as a fraction, 303/1000, so it is a rational number.
d) 0.315: This number can be written as a fraction, 63/200, so it is a rational number.
e) 0.326: This number can be written as a fraction, 163/500, so it is a rational number.
None of the given numbers between 0.22 and 0.33 are irrational. They are all rational numbers because they can be expressed as fractions or ratios of integers.