Lesson Worksheet: Algebra: Associative Property Mathematics

In this worksheet, we will practice identifying and applying the associative property of multiplication to multiply three one-digit numbers.

Q1:

Layan wants to solve 3×(5×7).

She says, “The parentheses show that I need to work out 5×7 first.”

Is Layan correct?

  • AYes
  • BNo

Q2:

Ahmed wants to find the value of 3×(2×5).

Which two factors should he multiply first?

  • A2 and 5
  • B3 and 2
  • C3 and 5

What should he get when he multiplies the third factor by the product of these two factors?

Q3:

When multiplying the three numbers 5, 2, and 3 using the associative property of multiplication, which of the following expressions can you get after grouping two numbers?

  • A3×7
  • B5×6
  • C2×8
  • D5×5

Q4:

Fill in the blank: (6×4)×5=6×(×5).

Q5:

Fill in the blank: All of the following expressions have the same product except .

  • A2×8×5
  • B2×8×4
  • C8×10
  • D2×40

Q6:

Ahmed and Alanoud need to work out the product of 6, 7, and 9.

Who is right?

  • AOnly Ahmed
  • BBoth of them
  • COnly Alanoud
  • DNeither of them

Q7:

Fill in the blanks: 5××7=(×4)×7=5×(4×).

  • A4, 5, 7
  • B4, 1, 7
  • C2, 1, 7
  • D2, 1, 9

Q8:

Fill in the blanks: To evaluate the expression 2×× using the associative property of multiplication, we could write it as 2×24.

  • A2, 4
  • B12, 12
  • C20, 4
  • D3, 8

Q9:

A teacher asked her students to define the associative property of multiplication for three numbers. Her students, Nada, Ramy, and Dalia, gave the following answers.

  • Nada’s answer: It means that we must multiply the numbers in order from left to right.
  • Ramy’s answer: It means that if we group the first two numbers by multiplication and then multiply the product by the third number, we will get the same result as if we grouped the second two numbers and multiplied their product by the first number.
  • Dalia’s answer: It means that if we group the first two numbers by multiplication and then multiply the product by the third number, we will get a different result than if we group the second two numbers and multiply their product by the first number.

Who is correct?

  • ADalia
  • BNada
  • CRamy
  • DAll of them are correct.

Q10:

Karim has a bookcase in his room that has 2 sections with 4 shelves in each section and 8 books on each shelf. He wants to calculate the number of books in the bookcase.

Fill in the blank: He can find the number of books in the bookcase using the expression .

Hint: Use the associative property of multiplication.

  • A8×(4+2)
  • B(8+4)×2
  • C(2+8)×4
  • D(8×4)×2

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