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 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 = 6, b = 2, and c = 3, verify the associative property of multiplication.
If a = 7, b = 3, use the commutative property to write an equivalent expression for a + b.
If a = 8, b = 0, what is a + b and which property does it illustrate?
If x = 2, y = 5, and z = 7, show that addition is associative for these values.
Which property is illustrated by the equation (a × b) × c = a × (b × c)?
Which property is illustrated by the equation 7 + 0 = 7?
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 shown by the equation (a + b) + c = a + (b + c)?
Which property is shown by the equation 8 × 1 = 8?
Which property is shown by the equation a × b = b × a?
Which property is used in the equation 0 × a = 0 for any real number a?
Which property is used in the following calculation: (6 × 2) × 5 = 6 × (2 × 5)?
