Whole Numbers

WholeNumbers

Natural numbers are the counting numbers {1, 2, 3, …} (the non-negative integers)

A whole number is a number that is not a fraction or a decimal. The whole numbers include all the natural numbers and Zero.

Integers are the natural numbers and their negatives {… −3, −2, −1, 0, 1, 2, 3, …}.

Integers

 

 

 

positive number is a number that is bigger than zero.  In business, positive numbers were used to represent assets.

negative number is a real number that is less than zero. Such numbers are often used to represent a value that is a deficit.

Negative numbers have many applications in business and personal finance. Example: How can we have less than nothing? When we’re in debt.

Two numbers that have the same magnitude but are opposite in signs are called Opposite Numbers. Example: +5 and -5 are Opposite Numbers

The absolute value (or modulus) |a| of an integer a is the numerical value of a without regard to its sign.  Example:  |-5| = 5

Now we will consider the four basic operations with whole numbers: addition, subtraction, multiplication, and division.

Place value

WN01     Place_Value 

IN10       Basic Operations with Whole Numbers 1

IN11       Basic_Operations with Whole Numbers 2

WN02   Round

WN34  Distributive Property

WN35  Word Problems Test

WN36  Money Word Problems

WN37  Square Root of N

WN48  Place Value (Unit)

WN49  Place Value (Unit)

WN50  Place Value (Write your Number)

BS01      Quiz Basic Skills

Real Numbers (Help)

Place Value (Help)

The number system

The number system is the system of representing numbers.

Natural Numbers (N).  [The numbers that occurs commonly in nature]. They are the numbers {1, 2, 3, 4, 5, …}

Whole Numbers (W). This is the set of natural numbers, plus zero, i.e., {0, 1, 2, 3, 4, 5, …}.

Integers (Z). This is the set of all whole numbers plus all the negatives (or opposites) of the natural numbers, i.e., {… , -2, -1, 0, 1, 2, …}

Rational numbers (Q). This is the set of all the fractions, where the top and bottom numbers are integers; e.g., ¼, ½, ¾,… [Note: The denominator cannot be zero].

Real numbers (R). This set includes all numbers that can be written as a decimal. This includes fractions written in decimal form e.g., 0.5, 2.5, etc. It also includes all the irrational numbers such as π, e, √2,  etc. Every real number corresponds to a point on the number line.

When you count backwards from zero, you go into negative numbers. Negative numbers are used to represent the magnitude of a loss or deficiency, example: “ a bank records deposits as positive numbers and withdrawals as negative numbers”.

The Irrational Numbers are real numbers that cannot be written as a simple fraction. Irrational numbers have decimal expansions that neither terminate nor become periodic.  Examples  (π = 3.1415926535897932384626433832795…),  e, also known as Euler’s number  (e=2.718281828459045235360…),  the Square Root of 2, written as √2,  (√2 = 1.41421356237…), etc.

Real Numbers

Real Number Voc

Extending vocabulary using the Frayer Model.

Frayer Template

Create a graphic organizer (Frayer Model) for the following vocabulary words:  integer number, absolute value, opposite, rational number.

(keep a copy in your notebook)

Your ability to understand math problems can be improved with math journal writing. Be sure to include all the relevant information.   Remember- Show your work and answers in Your Math Journal   !