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.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 11
Explain why division does not have an identity element.
Explain why the distributive property is important when simplifying algebraic expressions.
Given the expression 2(x + 3y), use the distributive property to expand it.
If a = 2, b = 3, and c = 4, show that addition is commutative for these values.
If a = 5, b = 2, and c = 7, verify the distributive property for a(b + c).
If a = 7, b = 3, and c = 2, verify the associative property of multiplication for these values.
Which property is being used in the following scenario?
Context: A student calculates 4 + 7 + 3 by first adding 4 + 7 to get 11, then adding 3 to get 14. Another student adds 7 + 3 to get 10, then adds 4 to get 14. Both get the same result.
Context: A student is simplifying the expression 2x + 3x + 4x. The student first adds 2x and 3x to get 5x, then adds 4x to get 9x. Another student adds 3x and 4x to get 7x, then adds 2x to get 9x.
Which property of operations justifies that both students get the same result?
Select the correct statement about the distributive property:
(1) a(b + c) = ab + ac
(2) a + (b + c) = (a + b) + c
(3) ab = ba
(4) a + 0 = a
Which of the following is an example of the associative property of addition?
(1) (a + b) + c = a + (b + c)
(2) a + b = b + a
(3) a(b + c) = ab + ac
(4) a + 0 = a
Which of the following is NOT an example of the commutative property?
(1) a + b = b + a
(2) ab = ba
(3) (a + b) + c = a + (b + c)
(4) a × b = b × a
Which of the following is the inverse property of multiplication?
(1) a × 1 = a
(2) a × (1/a) = 1, a ≠ 0
(3) a × 0 = 0
(4) a × b = b × a
Fill in the blank: For any nonzero number a, a × _______ = 1.
Fill in the blank: For any number a, a × 1 = _______.
Fill in the blank: The additive inverse of 9 is _______.
Fill in the blank: The inverse of addition is _______.
Is subtraction commutative?
True or False: The associative property applies to subtraction.
True or False: The commutative property holds for matrix multiplication.
True or False: The distributive property allows you to multiply a number by a sum by multiplying each addend separately and then adding the products.
