Math Practice Topic: Associative Property 2

Description: Completion of equations that demonstrate the associative property with multiplication.
For example, since 2 * (3 * 4) = 24, then (2 * 3) * 4 = 24.

Adaptive Learning Progression: Starts with computation to demonstrate that the associative property is correct, then lets you apply it.

Sample Levels (out of 4)

Fill in the blanks.

1.
(7 × 9) × 5 = 7 × (9 × 5)
× 5 = 7 ×
=
2.
(3 × 8) × 5 = 3 × (8 × 5)
× 5 = 3 ×
=
3.
(7 × 8) × 5 = 7 × (8 × 5)
× 5 = 7 ×
=

Fill in the blanks.

1.
2 × (8 × 9) = ( × ) ×
2.
If (3 × 6) × 7 = 126, then what is 3 × (6 × 7)?
3.
Rewrite the expression 7 × (8 × 9) using the associative property.
4.
2 × (4 × 6) = ( × ) ×

Fill in the blanks.

1.
Which equation(s) show the associative property?
Select the correct answer(s).
(1 × 6) × 8 = 8 × (1 × 6)
3 × (6 × 8) = (3 × 6) × 8
2 × (5 × 6) = (2 × 5) × 6
1 × (6 × 8) × 9 = 1 × 6 × (8 × 9)
none of the above
2.
If 2 × (3 × 4) = (2 × 3) × z, then what is z?
3.
Which equation(s) show the associative property?
Select the correct answer(s).
(5 × 6) × 8 × 9 = 5 × (6 × 8) × 9
2 × (3 × 7 × 9) = (2 × 3 × 7) × 9
(1 × 4) × 7 = (1 × 4) × 7
1 × (6 × 9) = (1 × 6) × 9
none of the above

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