Properties of Real Numbers

Question 1

Commutative Properties for addition:

Answer 1

a + b = b + a

Question 2

Commutative Properties for multiplication:

Answer 2

a x b = b x a

Question 3

the order does not matter when adding numbers

Answer 3

true

Question 4

Is subtraction also commutative?

Answer 4

false

Question 5

what is this called? (2 + 3) + 4 = 5 + 4 = 9

Answer 5

associative property of addition

Question 6

What is this called? 2 x (3 x 4) = (2 x 3) x 4

Answer 6

associative property of multiplication

Question 7

this is known as(a + b) + c = a + (b + c)

Answer 7

associative properties of addition

Question 8

this is known as(a x b) x c = a x (b x c)

Answer 8

associative properties of multiplication

Question 9

the commutative properties have to do with

Answer 9

order of numbers

Question 10

the associative properties have to do with

Answer 10

the grouping of numbers

Question 11

what property is this known as? a(b + c) = ab + ac

Answer 11

Distributive Property of multiplication over addition

Question 12

0 is known as the identity element for

Answer 12

addition

a + 0 = a

0 + a = a

Question 13

1 is the identity element for

Answer 13

multiplication

a x 1 = a

1 x a = a

Question 14

the numbers a and -a are known as

Answer 14

additive inverses or opposites of each other because their sum is 0

a + (-a) = 0

Question 15

the numbers b and 1/b(for b =/ 0) are known as

Answer 15

reciprocals or multiplicative inverses of each other because their product is 1

b x 1/b = 1