Properties of Real Numbers Flashcards
1
Q
a + b is real
A
Closure Property for Addition
2
Q
a . b is real
A
Closure Property for Multiplication
3
Q
a + b = b + a
A
Commutative Property for Addition
4
Q
a . b = b . a
A
Commutative Property for Multiplication
5
Q
(a+b)+c=a+(b+c)
A
Associative Property for Addition
6
Q
(ab)c=a(bc)
A
Associative Property for Multiplication
7
Q
a+0=a
A
Identity Property for Addition
8
Q
a*1=a
A
Identity Property for Multiplication
9
Q
a+(-a)=0
A
Inverse Property for Addition
10
Q
a*(1/a)=1, a not equal to 0
A
Inverse Property for Multiplication
11
Q
a(b+c)=ab+ac and (b+c)a=ba+ca
A
Distributive Property for Addition and Multiplication
12
Q
a*0=?
A
0
13
Q
-(-a)=?
A
a
14
Q
(a^-1)^-1=? , a is not equal to 0
A
a
15
Q
(-a)(b)=?
A
-(ab)
