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 7
If 0 + x = x, what is the name of the property shown?
If a = 2, b = 3, and c = 4, show that a × (b + c) = a × b + a × c.
If a = 3, b = 5, and c = 7, use the distributive property to expand a × (b + c).
If a = 4, b = 6, and c = 2, use the commutative property of addition to write a + b in another way.
If a = 5, b = 2, and c = 3, use the associative property of addition to show (a + b) + c = a + (b + c).
If a = 6, b = 4, and c = 2, verify the associative property of multiplication for these values.
If x + 0 = x, what property does this equation show?
What is the result of (2 × 3) × 4 using the associative property of multiplication?
What is the result of (5 + 3) + 2 using the associative property of addition?
What is the result of 7 × 1 according to the identity property of multiplication?
What is the result of 8 + 0 according to the identity property of addition?
Which property is illustrated by the equation 0 × x = 0?
Which property is illustrated by the equation 4 × (6 + 2) = 4 × 6 + 4 × 2?
Which property is illustrated by the equation 5 + 0 = 5?
Which property is shown by the equation (7 × 2) × 5 = 7 × (2 × 5)?
Which property is shown by the equation (a + b) + c = a + (b + c)?
Which property is shown by the equation (a × b) × c = a × (b × c)?
Which property is shown by the equation 8 + 2 = 2 + 8?
Which property is used in the following calculation: 9 × 0 = 0?
A student claims that (4 + 5) × 2 = 4 × 2 + 5 × 2. Which property justifies the student's claim?
