Grade 3 Mental Math: Using Properties

Apply commutative and associative properties

What You'll Learn

  • Use commutative property
  • Use associative property

📖Properties

7 + 8 + 3 = 7 + 3 + 8 = 10 + 8 = 18!

Worked examples

Real problems from the practice worksheets, solved one step at a time.

  1. Example 1

    4 × 4 × 5 = ?

    1. Look for friendly numbers: 4 × 5 = 20, a round number. Do that pair first, so now you have 4 × 20.
    2. Multiply: 4 × 20 = 80.
    3. So 4 × 4 × 5 = 80.

    Answer: 80

  2. Example 2

    6 + 43 + 4 = ?

    1. Look for friendly numbers: 6 and 4 make a round number. Change the order to put them together: 6 + 4 + 43.
    2. Add: 6 + 4 = 10, so now you have 10 + 43.
    3. Add: 10 + 43 = 53.
    4. So 6 + 43 + 4 = 53.

    Answer: 53

  3. Example 3

    2 + 46 + 8 = ?

    1. Look for friendly numbers: 2 and 8 make a round number. Change the order to put them together: 2 + 8 + 46.
    2. Add: 2 + 8 = 10, so now you have 10 + 46.
    3. Add: 10 + 46 = 56.
    4. So 2 + 46 + 8 = 56.

    Answer: 56