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Use place value ans distributive property to match each multiplication expression with an equivalent expression.

Use Place Value Ans Distributive Property To Match Each Multiplication Expression With An Equivalent Expression class=

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

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