CHARTS & TABLES Properties and Theorems
CHARTS & TABLES Properties and Theorems
Properties and Theorems (continued)
Identity Property
a=a
Identity Property of Addition
a+ 0 = 0 +a=a
Identity Property of Multiplication
a×1 = 1×a=a
Inverse Property of Addition
a+ –a= –a+a= 0
Inverse Property of Multiplication
If a ≠ 0
a×1/a= 1/a×a= 1
Multiplicative Identity Property
a×1 =a
and
1 ×a=a
Multiplicative Property of Equality
If a=b
then ac=bc
and ca=cb
If a=band c=d
then ac=dc
and ac=bc
Multiplicative Property of Inequality
If a<b,and c> 0
then ac<bc
and a/c<b/c
If a<band c< 0
then ac>bc
and a/c>b/c
Multiplicative Property of Zero
a×0 = 0
and
0 ×a= 0
(continues)