Solved math examples

Order of operations: solved examples

Worked examples of order of operations, from easy to hard, with every step written out. Try each one yourself first, then check the working.

✓ Every answer here is computed and checked by the math engine

Easy

  1. Example 1. Work out 6×4−96 \times 4 - 9.

    1. Multiply first.
      6×4=246 \times 4 = 24
    2. Then subtract.
      24−9=1524 - 9 = 15

    Answer: 1515

  2. Example 2. Work out 2×4−22 \times 4 - 2.

    1. Multiply first.
      2×4=82 \times 4 = 8
    2. Then subtract.
      8−2=68 - 2 = 6

    Answer: 66

  3. Example 3. Work out 8×9−28 \times 9 - 2.

    1. Multiply first.
      8×9=728 \times 9 = 72
    2. Then subtract.
      72−2=7072 - 2 = 70

    Answer: 7070

Medium

  1. Example 4. Work out 18−36÷918 - 36 \div 9.

    1. Divide first.
      36÷9=436 \div 9 = 4
    2. Then subtract.
      18−4=1418 - 4 = 14

    Answer: 1414

  2. Example 5. Work out (2+4)×2−8(2 + 4) \times 2 - 8.

    1. Brackets.
      2+4=62 + 4 = 6
    2. Multiply.
      6×2=126 \times 2 = 12
    3. Subtract.
      12−8=412 - 8 = 4

    Answer: 44

  3. Example 6. Work out (8+9)×2−9(8 + 9) \times 2 - 9.

    1. Brackets.
      8+9=178 + 9 = 17
    2. Multiply.
      17×2=3417 \times 2 = 34
    3. Subtract.
      34−9=2534 - 9 = 25

    Answer: 2525

Hard

  1. Example 7. Work out (8−4)2÷4+6(8 - 4)^2 \div 4 + 6.

    1. Brackets.
      8−4=48 - 4 = 4
    2. Power.
      42=164^2 = 16
    3. Divide.
      16÷4=416 \div 4 = 4
    4. Add.
      4+6=104 + 6 = 10

    Answer: 1010

  2. Example 8. Work out 2+4×(2−1)22 + 4 \times (2 - 1)^2.

    1. Brackets.
      2−1=12 - 1 = 1
    2. Power.
      12=11^2 = 1
    3. Multiply.
      4×1=44 \times 1 = 4
    4. Add.
      2+4=62 + 4 = 6

    Answer: 66

  3. Example 9. Work out 8+9×(2−1)28 + 9 \times (2 - 1)^2.

    1. Brackets.
      2−1=12 - 1 = 1
    2. Power.
      12=11^2 = 1
    3. Multiply.
      9×1=99 \times 1 = 9
    4. Add.
      8+9=178 + 9 = 17

    Answer: 1717

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