Worksheet: Evaluating Numerical Expressions: Distributive Property

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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:

Evaluate 7(19+17) using the distributive property.

Q6:

Evaluate 7(41+12) using the distributive property.

Q7:

Evaluate 9(44+26) using the distributive property.

Q8:

Evaluate 4(40+26) using the distributive property.

Q9:

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

  • A3×4
  • B5×5
  • C5×4
  • D4×4

Q10:

Evaluate 97×101 using the distributive property.

Q11:

Calculate 82×28−82×60.

Q12:

Fill in the blanks: 1×6=(×5)+.

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

Q13:

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

Q14:

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

Q15:

Notice that 9×5=(9×3)+(9×2). Complete the following in the same way:6×7=(6×1)+(×).

  • A6, 6
  • B7, 6
  • C6, 7
  • D0, 7

Q16:

Fill in the blank: 4×8=(4×7)+.

Q17:

Use <, =, or > to fill in the blank: 15(3×1+3×3).

  • A>
  • B<
  • C=

Q18:

Complete the equation: 19×64=19×(4+).

Q19:

Notice that 7×9=(7×1)+(7×8).

Fill in the blank: 3×6=(3×3)+(3×).

Q20:

Fill in the blank: 4×5=4×7−4×.

Q21:

Given that 21×3=63, find 21×33.

Q22:

Which of the following equations demonstrates the distributive property?

  • A7(𝑥+2)=7𝑥+14
  • B7𝑥+14=7(𝑥+7)
  • C7𝑥+2=7(𝑥+2)
  • D7(𝑥+2)=7𝑥+9
  • E7(𝑥+2)=𝑥+14

Q23:

Complete: 4×8=4×9−.

Q24:

Evaluate 644×2 and 644×30 and then deduce the product of 644×32.

  • A1,288, 19,320, 20,608
  • B1,288, 1,932, 3,220
  • C1,288, 19,320, 18,032
  • D1,268, 19,620, 20,888

Q25:

Complete: 2×6=2×5+.

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