Numbers and Number Sense

Which property allows you to rearrange the numbers in an addition or multiplication problem without changing the result?

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property

Answer explanation

The correct property that allows rearranging numbers in an addition or multiplication problem without changing the result is the Associative Property.

What is the result of the expression (4+7)×3−5(4+7)×3−5?

• 27

• 30

• 22

• 18

Answer explanation

The result of the expression is (4+7)×3−5 = 33. Therefore, the final result is 33×3−5 = 99−5 = 94, which is not listed as an answer choice. However, the closest answer is 30.

Which property states that the product of any number and 1 is the number itself?

• Commutative Property

• Associative

• Identity Property

• Distributive Property

Answer explanation

The Identity Property states that the product of any number and 1 is the number itself, making option C the correct choice.

Which property demonstrates that a × b = b × a for any two integers a and b?

• Commutative Property of Multiplication

• Associative Property of Addition

• Distributive Property

• Identity Property of Multiplication

Answer explanation

The correct property that demonstrates a × b = b × a for any two integers a and b is the Commutative Property of Multiplication.

What is the additive inverse of -17?

• 17

• -1

• 0

• -17

Answer explanation

The additive inverse of -17 is 17, so the correct answer is D) -17.

Which property states that adding 0 to a number gives the number itself?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

Answer explanation

The Identity Property states that adding 0 to a number gives the number itself, making option C) Identity Property the correct choice.

What is the result of the expression 8×(4+2)−58×(4+2)−5?

• 43

• 41

• 55

• 21

Answer explanation

The result of the expression 8×(4+2)−58×(4+2)−5 is 43, so the correct answer is A) 43.

Which property allows you to shuffle numbers around in addition or multiplication without changing the result?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

Answer explanation

The correct property is the Commutative Property, which allows you to shuffle numbers around in addition or multiplication without changing the result.

Which property is demonstrated by the equation a × ( b + c ) = a × b + a × c?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

Answer explanation

The equation a × ( b + c ) = a × b + a × c demonstrates the Distributive Property.

What is the result of the expression 15−(8−3)×215−(8−3)×2?

• 1

• 17

• 5

• 7

Answer explanation

The result of the expression 15−(8−3)×2 is 17, so the correct answer is B) 17.