Mathematical properties

Question 1

Commutative Property

Answer 1

The commutative property states that you can add or multiply, and receive the same answer, regardless of the order of the numbers.
EX: 1 + 2 = 2 + 1
EX: 2(3) = 3(2)

Question 2

Associative Property

Answer 2

The associative property states that you can add or multiply, and receive the same answer, regardless of how the numbers are grouped.
EX: 1 + (2 + 3) = (1 + 2) + 3

Question 3

Identity Property of Addition

Answer 3

The identity property of addition states that zero added to any number is the number itself.
EX: 2 + 0 = 2

Question 4

Identity Property of Multiplication

Answer 4

The identity property of multiplication states that a number multiplied by 1 is the number itself.

EX: 2(1) = 2

Question 5

Inverse Property of Addition

Answer 5

The inverse property of addition states that adding the opposite of a number to the number will give you a sum of zero.
EX:2 + (-2) = 0

Question 6

Inverse Property of Multiplication

Answer 6

The inverse property of multiplication states that if you multiply a number by its reciprocal, the product is 1.

Ex: 2 x ½ = 1

Question 7

Distributive Property

Answer 7

The distributive property states that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
EX: 2(3 + 4) = 2(3) + 2(4)