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Question 1

Identity Property of Addition

Answer 1

Adding 0 to a term doesn’t change the term
EX: a+0=a

Question 1

Identity Property of Multiplication

Answer 1

Multiplying a term by one does not change the term
EX: a*1=a

Question 2

Multiplicative property of 0

Answer 2

Multiplying a term by 0 results in 0.
EX: a*0=0

Question 3

Commutative Property of Addition

Answer 3

Changing the order of addition does not change the result.
EX: a+b=b+a

Question 4

Commutative Property of Multiplication

Answer 4

Changing the order of multiplication does not change the result
EX: ab=ba

Question 5

Associative Property of Addition

Answer 5

Changing the grouping of addition does not change the result
EX: a+(b+c)=(a+b)+c

Question 6

Associative Property of Multiplication

Answer 6

Changing the grouping of multiplication does not change the result
EX: a(bc)=(ab)c

Question 7

Distributive Property (of Multiplication over addition)

Answer 7

“a” groups of b+c
EX: a(b+c)=(ab)+(ac)

Question 8

Additive Inverse Property

Answer 8

A term added with its opposite results in 0.
EX: a+(-a)=0

Question 9

Multiplicative Inverse Property

Answer 9

Multiplying a term by its inverse/reciprocal will result in one
EX: a*1/a=1
(“a” is not equal to 0)

Question 10

Substitution Property

Answer 10

“a” may be replaced with “b”
EX: a=b

Question 11

Definition of Subtraction

Answer 11

Subtracting a number is the same as adding that number’s opposite
EX: a-b=a+(-b)