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Math110
Definitions to keep up
15
Mathematics
Undergraduate 1
07/27/2024

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Term
Natural Numbers
Definition
1, 2, 3, 4... Positive numbers starting from 1 going up indefinitely.
Term
Wh0le Numbers
Definition
0, 1, 2, 3, 4, 5... Starts from 0 and goes up indefinitely
Term
Integers
Definition

...-3, -2, -1, 0, 1, 2, 3... These are whole numbers that go in both the negative and positive direction and include 0

Term
Rational Numbers
Definition
A number that can be written as a fraction whose numerator is an integer and whose denominator is a nonzero integer. They can also be decimal numbers with finite or predictably repeating number sequence. Example: -2/7, 0.25, 0.3(with a line over it to indicate it repeats)
Term
Irrational numbers
Definition
A subset of the real numbers whose elements cannot be written as a ratio of 2 integers. Also cannot be written as a terminating decimal. Example: √2 or -√17 or 0.121122111222...
Term
Real Numbers
Definition
The numbers represented by variables in an algebraic expression that encompass zero, all positive and negative numbers (including those represented by fractions and decimal numbers). This includes rational and irrational numbers
Term
Reciprocals
Definition
Two nonzero numbers that when when multiplied would equal 1. To find just flip the numerator and denominator of original number. Example: 2/3 * 3/2= 1 and 4/9 * 9/4= 1 and 7 * 1/7= 1
Term
Proper Fraction
Definition
If the numerator of a fraction is less than the denominator. It is supposed to represent a quantity that is less than a whole unit
Term
Improper Fraction
Definition
If the numerator of a fraction is greater than or equal to the denominator. This represents a quantity greater than or equal to a whole unit
Term
Mixed Number
Definition
A whole number that is added to a proper Fraction
Term
Absolute Value of a number
Definition

The distance between the number and zero on the number line. Example: -3 and 3 both have a value of 3

Term
Inequalities
Definition
Mathematical statements that compare two or more sides using <, >, <, >.
Term
Variables
Definition
A symbol or letter that is used to represent an unknown number that is subject to change
Term
Constant
Definition
A number in an equation that doesn't vary
Term
Expression
Definition
A collection of variables and constants under algebraic operations
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