Chapter 1 Flashcards
1
Q
natural numbers
A
1, 2, 3, …
2
Q
whole numbers
A
0, 1, 2, 3, …
3
Q
integers
A
…, -3, -2, -1, 0, 1, 2, 3, …
4
Q
rational numbers
A
numbers that result when an integer is divided by a nonzero integer (7/9, 0.5, 4/1, -5/3)
5
Q
irrational numbers
A
numbers with radicals or pi that are not rational numbers
6
Q
commutative properties
A
a + b = b + a and ab = ba
7
Q
associative properties
A
(a + b) + c = a + (b + c) and (ab)c = a(bc)
8
Q
identity properties
A
a + 0 = a and 0 + a = a
a(1) = a and 1(a) = a
9
Q
inverse properties
A
property of opposites: for each a, there is a unique real number -a such that: a + (-a) = 0 and (-a) + a = 0
property of reciprocals: for each a except 0, there is a unique real number 1/a such that: a(1/a) = 1 and 1/a(a) = 1
10
Q
distributive property
A
a(b + c) = ab + ac and (b + c)a = ba + ca
