Final answer:
The approximate value of pi, such as 22/7 or 3.14, is rational because it is obtained by rounding off the value of pi to a limited number of decimal places.
Step-by-step explanation:
The value of π (pi) is an irrational number, which means it cannot be expressed as a fraction of two integers. However, its approximate values such as 22/7 or 3.14 are rational numbers.
The reason why these approximations are rational is because they are obtained by rounding off the value of π to a limited number of decimal places. Rational numbers can be expressed as a ratio of two integers, and when we round off π to a certain decimal place, the resulting value can be expressed as a ratio.
For example, when we approximate π as 3.14, it means we are rounding off π to two decimal places. So, 3.14 is a rational number because it can be expressed as the fraction 314/100.
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