Question

which is correct?
π=22/7
π<22/7
π>22/7​

Answer 1

Answer:

π < 22/7

Explanation:

π ≠ 22/7, reason being 22/7 is a rational number as it is in the form of p/q and π is an irrational number. We cannot equate a rational and an irrational number, or let me put it this way; being an irrational number, π can't be written as a fraction. π has a non terminating and non repeating decimal expansion, whereas 22/7 has a non terminating and repeating decimal expansion. And, all real numbers, which have 'non terminating and non repeating decimal expansions' are irrational numbers, whereas all the real numbers, which have either 'terminating decimal expansions' or 'non terminating and repeating decimal expansions' are rational numbers. For the sake of simplicity and to make our calculations easy, we have approximated it to be 22/7, so remember, "it is only approximated with 22/7, they are not equal".

If you are yet not conveyed with this fact, then go and google this out.

π = 3.14159...........

and, 22/7 = 3.14285...........

You can easily make the difference that, π is actually lesser than 22/7.

See this !!!

$\frac{22}{7} = 3.\overline{142857} \: = 3.142857142857142857...........$

Thus, we've also proved that, 22/7 is a rational number.

Hope, it'll help you.....