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

Question

Cameron Arnold · Accepted Answer

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

Everly Taylor · Answer

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

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

Genesis Amaya · Answer

undefined No, $ \frac{22}{7} $ is not the same as $ \pi $. While $ \frac{22}{7} $ is an approximation of $ \pi $, it is not equal to $ \pi $ exactly. The value of $ \pi $ is an irrational number, approximately equal to 3.14159, and it cannot be expressed exactly as a fraction. Therefore, $ \frac{22}{7} $ is a rational approximation of $ \pi $, but it is not precisely equal to it.