Exploring Properties of Operations in Mathematics

What does the commutative property state about the order of addition and multiplication?

• The order matters only in multiplication.

• The order matters only in addition.

• The order does not matter in addition and multiplication.

• The order matters in addition and multiplication.

Which of the following is an example of the commutative property of addition?

• a * (1/a) = 1

• a + b = b + a

• a(b + c) = ab + ac

• a + (b + c) = (a + b) + c

What does the associative property state about the placement of parentheses in addition and multiplication?

• Parentheses placement matters only in addition.

• Parentheses placement matters only in multiplication.

• Parentheses placement matters in addition and multiplication.

• Parentheses placement does not matter in addition and multiplication.

Which of the following is an example of the associative property of multiplication?

• a + b = b + a

• a(b + c) = ab + ac

• a + (b + c) = (a + b) + c

• a(bc) = (ab)c

What does the distributive property allow you to do?

• Combine like terms.

• Distribute a multiplication over an addition or subtraction.

• Multiply numbers in any order.

• Add numbers in any order.

Which of the following is an example of the distributive property?

• a + b = b + a

• a + (b + c) = (a + b) + c

• a(b + c) = ab + ac

• a * (1/a) = 1

What is the multiplicative inverse of a number?

• The number itself.

• The number divided by 2.

• The reciprocal of the number.

• The number squared.

What does the additive inverse property state?

• Multiplying a number is the same as dividing its opposite.

• Adding a number is the same as subtracting its opposite.

• Subtracting a number is the same as adding its opposite.

• Dividing a number is the same as multiplying its opposite.

How can the commutative property be used to simplify the expression -11.7 + 6.5 + 11.7?

• By adding -11.7 and 6.5 first.

• By adding 6.5 and 11.7 first.

• By adding -11.7 and 11.7 first.

• By adding all numbers in any order.

Which property can be used to simplify the expression 8.4 ÷ 1/5 × -2?

• Distributive Property

• Multiplicative Inverse

• Associative Property

• Additive Inverse