Real Numbers
-Real Numbers are every number.
-Therefore, any number that you can find on the number line. -Real Numbers have two categories, rational and irrational.
Rational Numbers
-Any number that can be expressed as a repeating or terminating decimal is classified as a rational number Examples of Rational Numbers
6 is a rational number because it can be expressed as 6.0 and therefore it is a terminating decimal. -7 ½ is a rational number because it can be expressed as -7.5 which is a terminating decimal. Examples of Rational Numbers

Square root 25 is a rational number because it can be expressed as 5 or 5.0 and therefore it is a terminating decimal. 2.45 is a rational number because it is a repeating decimal. Irrational Numbers

-An irrational number is a number that cannot be written as a fraction of two integers. -Irrational numbers written as decimals are non-terminating and non-repeating. Note: if a whole number is not a perfect square, then its square root is an irrational number. Caution!

A repeating decimal may not appear to repeat on a calculator, because calculators show a finite number of digits. Examples of Irrational Numbers
Square root of 21 is an irrational number because it can Not be expressed as a terminating decimal. 0.62622622262222… is an irrational number because it cannot be expressed as a repeating decimal. Examples of Irrational Numbers

Π (pi)is an irrational number.

Subsets of Rational Numbers
-Natural numbers
-Whole numbers
-Integers
Natural Numbers
Natural Numbers are counting numbers from {1,2,3,4,5,…}
Whole Numbers
Whole numbers are counting numbers from {0,1,2,3,4,5,…}
Integers
Integers include the negative counting numbers: {…,-3,-2,-1,0,1,2,3…} What Does It Mean?
-The number line goes on forever.
-Every point on the line is a Real number.
-There are no gaps on the number line.
-Between the integers there are countless other numbers. Some of them are rational (fractions, terminating and repeating...

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Real World Radical Formulas
Janeth Mendiola
MAT222: Intermediate Algebra
Instructor Lalla Thompson
March 21, 2014
Real World Radical Formulas
Radical formulas are used in the real world in the fields such as finance, medicine, engineering, and physics to name a few. In the finance department they use it to find the interest, depreciation and compound interest. In medicine it can be used to calculate the...

...In mathematics, a realnumber is a value that represents a quantity along a continuous line. The realnumbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers such as √2 (1.41421356... the square root of two, an irrational algebraic number) and π (3.14159265..., a transcendental number). Real...

...Select and justify functions and equations to model and solve problems.
1. Mrs. Morris gave her students this pattern of white tiles
She asked her students to write an equation to represent the number of white tiles, t, for any figure number, n.
Which equation represents the number of white tiles in the pattern?
A. t = n + 2
B. t = n + 4
C. t = 4n + 4
D. t = 4n + 8
2. Kesha is planning to rent a van for her trip...

...TUTORIAL: NUMBER SYSTEM
1. Determine whether each statement is true or false
a) Every counting number is an integer
b) Zero is a counting number
c) Negative six is greater than negative three
d) Some of the integers is natural numbers
2. List the number describe and graph them on the number line
a) The counting number smaller than 6
b) The integer between -3 and 3
3. Given...

... NUMBER SYSTEM
Definition
It defines how a number can be represented using distinct symbols. A number can be represented differently in different systems,
for instance the two number systems (2A) base 16 and (52) base 8 both refer to the same quantity though the representations are different.
When we type some letters or words, the computer translates them in numbers as computers can understand only...

...An Historical Survey of Number Systems
Nikolai Weibull
1. Introduction
In a narrow, yet highly unspecific, sense, a number system is a way in which humans represent numbers. We have limited our discussion already, for it is merely humans among all known species who have the ability to count and form numbers which we later can perform calculations upon. Many—often very different—number systems have been employed by...

...THE REALNUMBER SYSTEM
The realnumber system evolved over time by expanding the notion of what we mean by the word “number.” At first, “number” meant something you could count, like how many sheep a farmer owns. These are called the natural numbers, or sometimes the counting numbers.
Natural Numbers
or “Counting Numbers”
1, 2, 3, 4, 5, . . .
*...

...Polynomial
The graph of a polynomial function of degree 3
In mathematics, polynomials are the simplest class of mathematical expressions (apart from the numbers and expressions representing numbers). A polynomial is an expression constructed from variables (also called indeterminates) and constants (usually numbers, but not always), using only the operations of addition, subtraction, multiplication, and non-negative integer exponents (which are...