Properties

Question 1

Additive Identity

Answer 1

For any number a, a + 0 = a.

Question 2

Additive Inverse

Answer 2

For any number a, a + (-a) = 0.

Question 3

Multiplicative Identitiy

Answer 3

For any number a, a × 1 =a.

Question 4

Multaplicative Property of 0

Answer 4

For any number a, a × 0 = 0.

Question 5

Multaplicative Inverse Property

Answer 5

For every number a ÷ b, where a, b =/ 0, there is exactly one number b ÷ a such that a ÷ b × b ÷ a = 1

Question 6

Reflexive Property

Answer 6

For any number a, a = a.

Question 7

Symmetric Property

Answer 7

For any numbers a and b, if a = b, then b = a.

Question 8

Transitive Property

Answer 8

For any numbers a, b, and c if a = b and b = c, then a = c.

Question 9

Substitution Property

Answer 9

If a = b, then a may be replaced by b in any expression.

Question 10

Commutative Properties

Answer 10

For any numbers a and b, a + b = b + a and a × b = b × a.

Question 11

Associative Properties

Answer 11

For any numbers a, b, and c, (a + b) + c = a + ( b + c) and (ab)c = a(bc)

Question 12

Distributive Property

Answer 12

For any numbers a, b, and c, a(b + c) = ab + a and (b + c)a = ba + ca and a(b -c) = ab - ac and (b - c)a = ba -ca.