Since we multiply and divide from left to right, 6 3 ÷ 2 = 9 and 6 ÷ 3 2 = 4.

  1. Find values of the following expressions.
    1. 4 ÷ 2 8
    2. 4 2 ÷ 8
    3. 12 2 ÷ 3 2
    4. 12 ÷ 2 3 ÷ 2

Since we add and subtract from left to right, 6 + 3 − 2 = 7 and 6 − 3 + 2 = 5.

  1. Find values of the following expressions.
    1. 10 − 9 + 7
    2. 10 + 9 − 7
    3. 9 + 8 − 7 + 6
    4. 9 − 8 + 7 − 6

Since we multiply and divide before adding and subtracting,

3 2 + 5 = 11             6 ÷ 2 4 + 3 = 15
3 + 2 5 = 13             8 − 6 ÷ 3 + 4 = 10

  1. Find the values of the following expressions.
    1. 5 + 8 ÷ 4
    2. 18 ÷ 3 + 4 7
    3. 17 − 14 ÷ 2 − 3
    4. 6 ÷ 3 4 − 2

Since work in parentheses must be done first,

3 + 6 ÷ 3 = 5             5 4 + 2 = 22
(3 + 6) ÷ 3 = 3             5 (4 + 2) = 30

  1. Find the values of the following expressions.
    1. (5 + 2) 5
    2. 6 (15 − 5) 2
  1. Does your calculator follow the correct order of operations? Input the expression below on your calculator. Use the keystrokes shown.

If the calculator says the answer is 7, then it uses the order of operations. You can input expressions as they are written to get correct answers.

If the calculator says the answer is 9, it does not use the correct order of operations. You will have to use parentheses to tell it the correct operation to do first. For example, to get the correct answer for 1 + 2 3, enter

The parentheses tell the calculator to multiply before adding.