properties of equality and real numbers Flashcards
1
Q
a=a
A
reflexive property
2
Q
a=b —> b=a
A
symmetric property
3
Q
(a = b /\ b = c) —> a=c
A
transitive property
4
Q
a=b —> 3a + 1 = 3b + 1
A
substitution property
5
Q
a=b —> a+c = b+c
A
addition property
6
Q
a=b —> a-c = b-c
A
subtraction property
7
Q
a=b —> a/c = b/c
A
multiplication property
8
Q
a=b —> a/c = b/c
A
division property
9
Q
a=b —> a2 = b2
A
exponent property
10
Q
a=b —> -/a = -/b
A
square root property
11
Q
a+b +c —> b+ a + c
A
commutative property of addition
12
Q
a x b x c —> b x a x c
A
commutative property of multiplication
13
Q
a+b (b+c) —> (a+b) + c
A
associative property of addition
14
Q
a - (b+c) —> (a+b) + c
A
associative property of multiplication
15
Q
a(b+c) —> ab + bc
A
distributive property
