Question

Which of the following illustrates the associative property of multiplication?

4 × 8 = 8 × 4
2(12 + 3) = 2 × 12 + 2 × 3
9 × (1 × 4) = (9 × 1) × 4
8 × 1 = 8

Answer 1

`9 × (1 × 4) = (9 × 1) × 4`

Explanation:

`a * (b * c) = (a * b) * c \\`

`9 × (1 × 4) = (9 × 1) × 4`

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like.