👤

Answer :

Using the distributive property, the equivalent expressions are given as follows:

  • 3(937) = 3(900) + 3(30) + 3(7).
  • 11(143) = 11(100) + 11(40) + 11(3).
  • 9(821) = 9(800) + 9(20) + 9(1).
  • 5(209) = 5(200) + 5(0) + 5(9).
  • 6(342) = 6(300) + 6(40) + 6(2).

What is the distributive property?

The distributive property is when the outside term of an expression multiplies all the inside terms, keeping the inside operations, as the following example:

a(b + c) = ab + ac.

For this problem, the numbers can be decomposed as follows:

  • 937 = 900 + 30 + 7.
  • 143 = 100 + 40 + 3.
  • 821 = 800 + 20 + 1.
  • 209 = 200 + 0 + 9.
  • 342 = 300 + 40 + 2.

Applying the distributive property, the equivalent expressions are:

  • 3(937) = 3(900) + 3(30) + 3(7).
  • 11(143) = 11(100) + 11(40) + 11(3).
  • 9(821) = 9(800) + 9(20) + 9(1).
  • 5(209) = 5(200) + 5(0) + 5(9).
  • 6(342) = 6(300) + 6(40) + 6(2).

More can be learned about the distributive property at https://brainly.com/question/2807928

#SPJ1