Properties Of Real Numbers Quiz

Question 0

a x b = b x a

Ex: 3 x 7 = 7 x 3

Answer 0

Commutative property of multiplication

Question 1

a+b=b+a Ex: 3+7=7+3

Answer 1

Commutative property of addition

Question 2

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

Ex: ( 6 + 4 ) + 5 = 6 + ( 4 + 5 )

Answer 2

Associative property of addition

Question 3

( a x b ) x c = a x ( b x c )

Ex: ( 6 x 4 ) x 5 = 6 x ( 4 x 5 )

Answer 3

Associative property of multiplication

Question 4

a + 0 = a

Ex: 9 + 0 = 9

Answer 4

Identity property of addition

Question 5

a x 1 = a

Ex: 6 x 1 = 6

Answer 5

Identity property of multiplication

Question 6

a + (-a) = 0.

Ex: 5 + (-5) = 0

Answer 6

Inverse property of addition

Question 7

a (1/a) = 1

Ex: 5 x 1/5 = a

Answer 7

Inverse property of multiplication

Question 8

If a = b, then b = a

Ex: 2 x 3 = 6, so 6 = 2 x 3

Answer 8

Symmetric property

Question 9

a (b+c) = ab + ac
Ex: 5(4+2) = 5 x 4 + 5 x 2
a(b-c) = ab - ac
5(4-2) = 5 x 4 - 5 x 2

Answer 9

Distributive property

Question 10

For every real number n, n x 0 = 0

Ex: -35 x 0 = 0

Answer 10

Multiplication property of zero

Question 11

For every real number n, -1 x n = -n

Ex: -1 x (-5) = 5

Answer 11

Multiplication property of -1