Chapter 1 Flashcards
1
Q
a - b = a + (-b)
A
Definition of subtraction
2
Q
a -:- b = a/b = a* 1/b
A
Definition of division
3
Q
a(b - c) = ab - ac
A
Distributive property of subtraction
4
Q
0 * a = 0
A
Multiplication by 0
5
Q
-1 * a = -a
A
Multiplication by -1
6
Q
a + b is a real number
A
(Addition) closure
7
Q
ab is a real number
A
(Multiplication) closure
8
Q
a + b = b + a
A
(Addition) Communitive
9
Q
ab = ba
A
(Multiplication) Communitive
10
Q
(a + b) + c = a + (b + c)
A
(Addition) associative
11
Q
(ab)c = a(bc)
A
(Multiplication) associative
12
Q
a + 0 = a, 0 + a = a
A
0 is the additive identity
(addition) identity
13
Q
a* 1 = a, 1* a = a
A
1 is the multiplicative identity
(Multiplication) identity
14
Q
a + (-a) = 0
A
(Addition) inverse
15
Q
a* (1/a) = 1
A
(Multiplication) inverse
