Properties of Operations
Math ⇒ Number and Operations
Properties of Operations starts at 6 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Properties of Operations.
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See sample questions for grade 9
Explain the difference between the commutative and associative properties.
If a = 2, b = 3, c = 4, use the distributive property to expand 2 × (3 + 4).
If a = 3, b = 4, and c = 5, use the distributive property to expand 3 × (4 + 5).
If a = 5, b = 2, and c = 3, verify the associative property of addition for these numbers.
If a = 2, b = 3, c = 4, use the distributive property to expand 2 × (3 + 4).
If a = 3, b = 4, and c = 5, use the distributive property to expand 3 × (4 + 5).
If a = 5, b = 2, and c = 3, verify the associative property of addition for these numbers.
If a = 6, b = 2, and c = 3, verify the associative property of multiplication.
Which of the following demonstrates the commutative property of multiplication?
(1) 3 × 4 = 4 × 3
(2) 3 × (4 × 5) = (3 × 4) × 5
(3) 3 × 1 = 3
(4) 3 × 0 = 0
Which of the following equations demonstrates the identity property of multiplication?
(1) 7 × 1 = 7
(2) 7 × 0 = 0
(3) 7 + 0 = 7
(4) 7 × 2 = 14
Which of the following is an example of the additive inverse property?
(1) 5 + 0 = 5
(2) 5 + (-5) = 0
(3) 5 × 1 = 5
(4) 5 × 0 = 0
Which of the following is an example of the distributive property over subtraction?
(1) 2 × (5 - 3) = 2 × 5 - 2 × 3
(2) 2 × (5 + 3) = 2 × 5 + 2 × 3
(3) 2 + (5 - 3) = (2 + 5) - 3
(4) 2 × 0 = 0
Fill in the blank: The ________ property states that a × (b + c) = a × b + a × c.
Fill in the blank: The additive inverse of 9 is ________.
Fill in the blank: The commutative property of addition states that a + b = ________.
Fill in the blank: The distributive property can be written as a × (b - c) = a × b - a × ________.
Is the following statement true or false? The commutative property holds for subtraction.
True or False: The associative property applies to both addition and multiplication.
True or False: The associative property does not apply to division.
True or False: The commutative property applies to both addition and multiplication.
