Properties of Operations
Math ⇒ Number and Operations
Properties of Operations starts at 6 and continues till grade 12.
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See sample questions for grade 12
Describe the difference between the associative and commutative properties.
Explain why division is not commutative for real numbers.
Explain why the distributive property is important in algebraic simplification.
If a = 2, b = 5, and c = 7, compute (a + b) + c and a + (b + c) to verify the associative property of addition.
If a = 3, b = 2, and c = 5, use the distributive property to expand a × (b + c).
If a = 6, b = 2, and c = 3, verify the distributive property: a × (b + c) = a × b + a × c.
If a = 7, b = 3, and c = 2, verify the associative property of addition using these values.
If x = -5, y = 4, and z = 2, show that multiplication is associative for these values.
State the identity property of addition.
Which property is illustrated by the equation: (a × b) × c = a × (b × c)?
Which property is illustrated by the equation: a + (-a) = 0?
Which property is illustrated by the equation: a × (b + c) = a × b + a × c?
Which property is used in the following equation: (a + 0) = a?
