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 8
Explain the difference between the commutative and associative properties.
Explain why 0 is called the additive identity.
Explain why the distributive property is useful when multiplying large numbers.
If a = 2, b = 3, and c = 4, use the distributive property to expand a × (b + c).
If a = 4, b = 5, and c = 6, use the associative property to show that (a × b) × c = a × (b × c).
If a = 5, b = 2, and c = 7, use the distributive property to expand 5 × (2 + 7).
If a = 6, b = 0, what is a + b and which property does it illustrate?
If a = 7, what is a × 0 and which property does it illustrate?
If x = 3, y = 4, and z = 5, show that (x + y) + z = x + (y + z).
State the property: For any nonzero number a, a × (1/a) = 1.
State the property: For any number a, a + (-a) = 0.
State the property: For any numbers a and b, a + b = b + a.
The equation (3 × 4) × 5 = 3 × (4 × 5) demonstrates which property of multiplication?
Which property is illustrated by the equation (2 + 5) + 8 = 2 + (5 + 8)?
Which property is illustrated by the equation (7 + 2) + 5 = 7 + (2 + 5)?
Which property is illustrated by the equation 1 × 12 = 12?
Which property is illustrated by the equation 7 + 0 = 7?
Which property is shown by the equation 8 × 4 = 4 × 8?
Which property is used in the following calculation: 9 × (2 + 3) = 9 × 2 + 9 × 3?
Which property is used to simplify the expression 3 × (4 + 5) to 3 × 4 + 3 × 5?
