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 6
If 6 × (2 + 5) = (6 × 2) + (6 × 5), which property is being used?
If a = 2, b = 3, and c = 4, use the commutative property to show 2 + 3 = 3 + 2.
If a = 3, b = 5, and c = 7, use the distributive property to find 3 × (5 + 7).
If a = 4, b = 6, and c = 2, use the associative property to show (4 + 6) + 2 = 4 + (6 + 2).
If you add zero to any number, what property are you using?
If a = 2, b = 3, and c = 4, use the commutative property to show 2 + 3 = 3 + 2.
If a = 3, b = 5, and c = 7, use the distributive property to find 3 × (5 + 7).
If a = 4, b = 6, and c = 2, use the associative property to show (4 + 6) + 2 = 4 + (6 + 2).
Which of the following demonstrates the commutative property of multiplication?
(1) 3 × 4 = 4 × 3
(2) 3 × 4 = 3 + 4
(3) 3 × 4 = 12 × 1
(4) 3 × 4 = 7
Which of the following equations shows the commutative property of addition?
(1) 2 + 3 = 3 + 2
(2) 2 + 3 = 5
(3) 2 × 3 = 6
(4) 2 × 3 = 3 × 2
Which of the following is an example of the associative property of multiplication?
(1) (2 × 3) × 4 = 2 × (3 × 4)
(2) 2 × 3 = 3 × 2
(3) 2 × 1 = 2
(4) 2 × (3 + 4) = 2 × 3 + 2 × 4
Which of the following is an example of the distributive property?
(1) 2 × (3 + 4) = 2 × 3 + 2 × 4
(2) 2 + 3 = 3 + 2
(3) (2 + 3) + 4 = 2 + (3 + 4)
(4) 2 × 1 = 2
Fill in the blank: The commutative property of multiplication can be written as a × b = __________.
Fill in the blank: The equation (a + b) + c = a + (b + c) is the __________ property of addition.
Fill in the blank: The equation (a × b) × c = a × (b × c) shows the __________ property of multiplication.
Fill in the blank: The equation a + 0 = a is an example of the __________ property.
True or False: The associative property allows you to change the order of numbers.
True or False: The associative property applies to both addition and multiplication.
True or False: The commutative property applies to subtraction.
True or False: The commutative property of multiplication means a × b = b × a.
