Properties Of Operations

Question 1

a+b = b+a

Answer 1

commutative property of addition

Question 2

a • b = b • a

Answer 2

commutative property of multiplication

Question 3

(a + b) + c = a + (b + c)

Answer 3

associative property of addition

Question 4

a • (b • c) = (a • b) • c

Answer 4

associative property of multiplication

Question 5

a + 0 = 0 + a = a

Answer 5

additive identity property of 0

Question 6

a • 1 = 1 • a = a

Answer 6

multiplicative identity property of 1

Question 7

For every a, there exists a number -a such that a + (-a) = (-a) + a = 0
(Adding a number and it’s opposite results in a sum equal to 0).

Answer 7

Inverse property of addition

Question 8

For every a, there exists a number 1/a such that a • 1/a = 1/a • a = a/a = 1
(Multiplying a number and its multiple inverse/reciprocal results in a product equal to 1)

Answer 8

Inverse property of multiplication

Question 9

a • (b + c) = a • b + a • c
(Multiplying a sum is the same as multiplying each addend by that number, then adding their products)

Answer 9

Distributive property of multiplication over addition

Question 10

a • (b - c) = a • b - a • c
(Multiplying a difference is the same as multiplying the minuend and subtrahend by that number, then subtracting their products)

Answer 10

Distributive property of multiplication over subtraction