Order of Operations
Name: Robert N.
When were the order of operations introduced into
The "order of operations" were not introduced in the sense that some other
order is possible or that the "order of operations" is arbitrary. For
example: 5^2 + 3^2 = 25 + 9 = 34
The powers done first followed by the addition. This is very different than
(5 + 3)^2 = 8^2 = 64
The addition done first, then the powers. Or the latter is: 5^2 +2*5*3 + 3^2
= 25 + 30 + 9 = 64
using the expansion of a binomial. The order of operations is imbedded in
the definition of the various operations.
Click here to return to the Mathematics Archives
Update: June 2012