Thursday, July 23, 2026

P5 order of operations

Most people get this wrong on the first try. 

     72 ÷ (8 + 4) × 6 − 9 

____

Why is it so? 

One reason is based on the misconception that multiplication has higher ranking than division. 

Another is when people have only a partial understanding of order of operations. While they know that / and x have the same rank, and ought to operate from left to right, they are nevertheless affected by a phenomenon I coined as “the luring of numbers”: given that 12x6=72, and 72/72 will “conveniently” yield 1 for the result of the first 4 numbers (in turn resulting in a wrong final answer of -8) , when it ought to be 36 (where final answer should be 27)