Question

Which of the following is an example of distributive property of multiplication over addition for rational numbers?

• A.
  −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]
• B.
  −14 × {23 + (−47)} = [14 × 23] − (−47)
• C.
  −14 × {23 + (−47)} = 23 + (−14) × −47
  
• D.
  −14 × {23 + (−47)} = {23 + (−47)} − 14

Answer 1

The correct option is A

−14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]
We know that distributive property of multiplication over addition for rational numbers can be given as
a × (b + c) = a × b + a × c
Thus, −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)] is the right answer.