Is #22/7# the same as #pi#?

2 Answers
Mar 27, 2017

#pi=3.142#

Explanation:

#pi# is roughly #3.142#

Writing that as a fraction, we get #3142/1000# which subsequently gives #22/7~~3.142#

Mar 27, 2017

They are not equal, but their values are very close.

#pi != 22/7, " "pi ~~ 22/7#

Explanation:

#22/7 and pi# are not equal, but we can say that

#pi ~~ 22/7" "# they are approximately equal.

#pi# is an irrational number - it is an infinite, non-recurring decimal.
Its value is #3.141592654..............# There is NO pattern.

#22/7# is a fraction which is very close to #pi#.

However, #22/7# is a rational number which can be written as a recurring decimal . #22/7 = 3.142857bar142857...# There IS a pattern.

If #pi and 22/7# were equal, their difference would be #0#

However: #22/7 - pi = 0.00126448925...#

Therefore they are not equal, but,

#22/7 = 3 1/7# is very close to #pi#