Many teachers do not emphasize “order of operation”, but “order of operations” is very important. Without knowing order of operations well, you do not know how to solve a math problem.
Some examples are given in the following, There are also worksheets for you to work on after you understand the examples.
Order of operations ( in order to make the explanation easy to understand, simple numbers are used)
Without any other operations in an expression: Addition and subtraction are equal operations in the way that is “first come, first served” from left to right:
Without any other operations in an expression: multiplication and division are equal operations in the way that is “first come, first served” from left to right:
= 2 ×3
When an expression has addition and (or) subtractions with multiplication and (or) divisions in it, multiplications and ( or divisions) should be done first; additions and (or) subtractions should be done afterwards.
2+ 4 ×5 – 3×7
=2+ 20- 21
When an expression has parenthesis first, the operations in the parenthesis should be done first and other operations need to follow the rules above.
2+ 4 × (5 – 3) ×7 (operation in the parenthesis is done first)
=2+4 × 2×7 (multiplication is done before addition)
=2+ 8 × 7 (first multiplication is done , now let’s do the second multiplication)