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 10
If 0 × a = 0 for any number a, what is this property called?
If a + 0 = a and a × 1 = a, what are 0 and 1 called, respectively?
If a + 0 = a, what is 0 called in this context?
If a + b = b + a, what property does this illustrate?
If a × (b + c) = a × b + a × c, what property is this?
If a × (b × c) = (a × b) × c, what property is this?
If a × 1 = a for any number a, what is this property called?
If a × b = b × a, what property is this?
Which of the following equations demonstrates the associative property of multiplication?
(1) (2 × 3) × 4 = 2 × (3 × 4)
(2) 2 × 3 = 3 × 2
(3) 2 × 1 = 2
(4) 2 × 0 = 0
Which of the following is an example of the associative property of addition?
(1) (1 + 2) + 3 = 1 + (2 + 3)
(2) 1 + 2 = 2 + 1
(3) 1 + 0 = 1
(4) 1 + (-1) = 0
Which of the following is an example of the commutative property of multiplication?
(1) 4 × 5 = 5 × 4
(2) 4 × (5 × 6) = (4 × 5) × 6
(3) 4 × 1 = 4
(4) 4 × 0 = 0
Which of the following is an example of the distributive property?
(1) 2 × (3 + 4) = 2 × 3 + 2 × 4
(2) 2 + 3 = 3 + 2
(3) (2 + 3) + 4 = 2 + (3 + 4)
(4) 2 × 1 = 2
Fill in the blank: The ________ property states that the order in which two numbers are added does not change the sum.
Fill in the blank: The additive inverse of 9 is ________.
Fill in the blank: The equation a × (b + c) = a × b + a × c is an example of the ________ property.
Fill in the blank: The equation a × (b + c) = a × b + a × c is called the ________ property.
Is the following statement true or false? The additive inverse of a number is the number that, when added to the original number, gives 0.
Is the following statement true or false? The associative property applies to subtraction.
Is the following statement true or false? The associative property holds for multiplication of real numbers.
Is the following statement true or false? The commutative property applies to both addition and multiplication.
