Lesson Worksheet: Evaluating Numerical Expressions: Distributive Property Mathematics • 6th Grade

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In this worksheet, we will practice using the distributive property of multiplication for addition and subtraction to rewrite numerical expressions and evaluate them.

Q1:

Evaluate 3(26+11) using the distributive property.

Q2:

Evaluate 5(40)+5(26) using the distribute property.

Q3:

Rewrite the expression 20(11−3) using the distributive property.

  • A(20−11)−(20−3)
  • B20×11−20×3
  • C3(20−11)
  • D20×11+20×3
  • E11(20−3)

Q4:

Which multiplication property of natural numbers is used in the expression 13×(45−23)=13×45−13×23?

  • Adistributive
  • Bclosure
  • Cmultiplicative identity
  • Dassociative
  • Ecommutative

Q5:

Write the multiplication expression that is missing: 5×7=(5×3)+()=15+20=35.

  • A3×4
  • B5×5
  • C5×4
  • D4×4

Q6:

Evaluate 97×101 using the distributive property.

Q7:

Calculate 82×28−82×60.

Q8:

Fill in the blanks: 1×6=(×5)+.

  • A1, 6
  • B0, 5
  • C0, 0
  • D1, 1

Q9:

You are told that 39×7=273 and 39×30=1,170. Use this to find 39×37.

Q10:

Notice that 2×7=(2×5)+(2×2). Complete the following in the same way: 8×4=(8×5)−(×).

  • A8, 1
  • B4, 1
  • C8, 4
  • D4, 5

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