Question

Match the equivalent expressions to show the correct use of the distributive property. (4 × 2) + (4 × 6) (2 × 4) + (2 × 6) 4 × (2 + 6) (6 × 4) + (6 × 2) 2 × (4 + 6) 6 × (4 + 2)qt

Answer 1

To match the equivalent expressions using the distributive property, we can rewrite the expressions as follows:

1. \( (4 × 2) + (4 × 6) \) is equivalent to \( 4 × (2 + 6) \)

2. \( (2 × 4) + (2 × 6) \) is equivalent to \( 2 × (4 + 6) \)

3. \( (6 × 4) + (6 × 2) \) is equivalent to \( 6 × (4 + 2) \)

So, the matches are:

- \( (4 × 2) + (4 × 6) \) ↔ \( 4 × (2 + 6) \)
- \( (2 × 4) + (2 × 6) \) ↔ \( 2 × (4 + 6) \)
- \( (6 × 4) + (6 × 2) \) ↔ \( 6 × (4 + 2) \)