Real Numbers
{1,2,3,4,....}
What are the set of natural or counting numbers?
The magnitude or distance between the origin and the point representing the real number on the real number line.
What is the absolute value of a real number?
Describe the subset of real numbers x <= 2
What is the set of real numbers less than or equal to 2.
Letters used to represent numbers, eg 5a or 7x+y
What are variables?
There are four arithmetic operations with real numbers:
What are addition, subtraction, multiplication, and division.
{0, 1, 2, 3, 4,.....}
What are the set of whole numbers?
|2-5|
What is 3?
In the bounded intervals [a,b] and (a,b) a and b are known as...
What endpoints?
A real number in an algebraic expression
e.g. y = 3
What is a constant?
The relationship between b and -b
What is the additive inverse?
{…-2,-1, 0, 1, 2, …..}
What are the set of integers?
|-a| = |a| =
What is a?
Inequalities can be used to describe subsets of real numbers
What are intervals?
The numerical factor of a variable term, e.g. 5a
What is a coefficient?
In the fraction a/b, the mathematical name for a and b.
What are the numerator and the denominator?
A number that can be written as a ratio p/q of two integers, q not equal to zero
What are rational numbers?
Let a and b be real numbers. d(a,b) = |b-a|= |a-b|
What is the distance between a and b
[a,b] is a type of interval
What is a closed interval?
To substitute numerical values for each of the variables in an algebraic expression to find its value
What is to evaluate?
2,3,5,7,....
What are the prime numbers?
A number that cannot be written as a ratio of two integers (a non-repeating decimal).
What is an irrational number?
|x+2|/(x+2), x < -2
What is -1?
(a,b), [a,b), (a,b] are a type of interval
What is an open interval?
a+b = b+a
What is the commutative property of addition?
0/a = __ & a/0 = __
What are 0 and undefined?