R.1 Flashcards
Natural Numbers
The most basic numbers used to count physical objects.
N = {1, 2, 3, 4, …}
What is the term for how we list or describe a set of numbers?
Set notation
What are the basics of set notation?
Braces { } are used to group members, or elements, of the set. Commas separate each member, and ellipses indicate a pattern that continues indefinitely.
How doe we indicate that something is an element of a set?
A funky E that I can’t reproduce here.
What is a set that has no elements?
A null set, or empty set. It is signified by empty brackets { }, or a 0 with a diagonal line through it.
Whole Numbers
The natural numbers, plus 0
{0, 1, 2, 3, 4, 5, …}
W
What is a proper subset?
When one set is completely contained by another set. Natural numbers are a proper subset of whole numbers.
Signified by a sideways U, open end to the right.
Integers
A set containing zero, the natural numbers, and their opposites (negatives)
{ …, -3, -2, -1, 0, 1, 2, 3, …}
Z
Rational numbers
Fractions and mixed numbers.
Can be written as a fraction with an integer numerator and integer denominator other than zero.
Q
Q = {p/q such that p, q = Z; q != 0}
Irrational numbers
Numbers with a non-repeating, non-terminating form.
H
Real numbers
The set of rational numbers combined with the set of irrational numbers.
R
What is the distance on the number line between two numbers?
The absolute value of their differences.
Describe division by and with zero
Division with zero = zero
division by zero = undefined
Perfect square
results from squaring an integer
Perfect cube
results from cubing an integer
