how do i explain 7-5+3x2 = 8

Question

using the order of operation, how do I explain

Answer 1

Scan left-to-right.  When a replacement is made, restart scan.  Inside parentheses, do a sub-scan.

 

Follow:

  P               (parentheses)

  E               (exponentiation)

 M D            (multiplication or division, left-to-right)

 A S             (addition or subtraction, left-to-right)

 

7 - 5 + 3 * 2

7 - 5 + 6           (M, perform and replace, restart scan)

  2  + 6             (S, perform and replace, restart scan)

      8                (A, perform and replace, done)