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Grade 5 - Mathematics
Properties of Multiplication

There are four multiplication properties. They are:
  • Commutative property
  • Associative property
  • Multiplicative identity
  • Distributive property

Commutative Property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands.
Example: 2 * 3 = 3 * 2

Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors.
Example: (5 * 6) * 7 = 5 * (6 * 7)

Multiplicative Identity Property: The product of any number and one is that number.
Example: 7 * 1 = 7.

Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.
Example: 2 * (4 + 3) = 2*4 + 2*3


Directions: Select the property shown in each question. Also, for each property, write five examples of your own.
Q 1: 4 * 3 = 3 * 4
Distributive Property
Associative Property
Multiplicative Identity Property
Commutative Property

Q 2: (2 * 3) * 4 = 2 * (3 *4)
Associative Property
Multiplicative Identity Property
Distributive Property
Commutative Property

Q 3: 5 * 1 = 5
Associative Property
Multiplicative Identity Property
Commutative Property
Distributive Property

Q 4: 2 * (6 + 4) = 2 * 6 + 2 * 4
Associative Property
Distributive Property
Commutative Property
Multiplicative Identity Property

Q 5: 5 * 10 = 10 * 5
Commutative Property
Associative Property
Distributive Property
Multiplicative Identity Property

Q 6: (5 * 6) * 7 = 5 * (6 *7)
Distributive Property
Commutative Property
Multiplicative Identity Property
Associative Property

Q 7: 3 * (2 + 1) = 3 * 2 + 3 * 1
Multiplicative Identity Property
Associative Property
Commutative Property
Distributive Property

Q 8: 12 x 1 = 12
Multiplicative Identity Property
Commutative Property
Associative Property
Distributive Property

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Question 10: This question is available to subscribers only!


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