Properties of Addition and Multiplication

Question 1

Can switch about the addition or multiplication sign (ex. a+b=b+a or ab=ba

Answer 1

Commutative

Question 2

Can change the grouping with addition and multiplication (ex. (a+b)+c=a+(b+c) or (ab)c=a(bc)

Answer 2

Associative

Question 3

0 plus something is itself and 1 times something is itself (ex. a+0=0+a=a or a1=1a=a

Answer 3

Identity

Question 4

The sum of opposites is zero. This product of reciprocals is 1. (ex. a+(-a)=0 or a*(1/a)=1

Answer 4

Inverse

Question 5

Example: a(b+c)=ab+ac

Answer 5

Distributive

Question 6

Something equals itself (ex. x+3=x+3)

Answer 6

Reflexive

Question 7

Can switch about the = sign (ex. If x+3=y then y=x+3)

Answer 7

Symmetric

Question 8

Two things that = the same thing, equal each other (ex. If x+3=y and y=n-6 then x+3=n-6)

Answer 8

Transitive