Number System
There are 7 types of numbers what are they?
Types of Numbers
1. Natural Numbers
4. Rational Numbers 5. Irrational Numbers 6. Real Numbers 7. Complex Numbers
2. Whole Numbers
3. Integers
Natural Numbers
Natural numbers are those numbers which we use to count. A set of natural numbers is typically expressed by the symbol N. Natural numbers for example: N = {1, 2, 3, 4, 5, 6, 7,…}. Natural numbers are also known as counting numbers because they are generally required for counting.
Whole Numbers
Whole numbers include natural numbers that begin from 1 onwards. Let us look at some examples of whole numbers. The set of whole numbers is denoted by the alphabet 'W'. W = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,.…}
INTEGERS
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .09, and 5,643.1.
RATIONAL NUMBERS
A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero. In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.
IRRATIONAL NUMBERS
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
REAL NUMBERS
real number, in mathematics, a quantity that can be expressed as an infinite decimal expansion. Real numbers are used in measurements of continuously varying quantities such as size and time, in contrast to the natural numbers 1, 2, 3, …, arising from counting.
COMPLEX NUMBERS
Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im)
Video for understanding https://youtu.be/OQz1ydBcQSA
THE END
NUMBER SYSTEM
Melissa Pickardt
Created on March 1, 2023
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Transcript
Number System
There are 7 types of numbers what are they?
Types of Numbers
1. Natural Numbers
4. Rational Numbers 5. Irrational Numbers 6. Real Numbers 7. Complex Numbers
2. Whole Numbers
3. Integers
Natural Numbers
Natural numbers are those numbers which we use to count. A set of natural numbers is typically expressed by the symbol N. Natural numbers for example: N = {1, 2, 3, 4, 5, 6, 7,…}. Natural numbers are also known as counting numbers because they are generally required for counting.
Whole Numbers
Whole numbers include natural numbers that begin from 1 onwards. Let us look at some examples of whole numbers. The set of whole numbers is denoted by the alphabet 'W'. W = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,.…}
INTEGERS
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .09, and 5,643.1.
RATIONAL NUMBERS
A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero. In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.
IRRATIONAL NUMBERS
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
REAL NUMBERS
real number, in mathematics, a quantity that can be expressed as an infinite decimal expansion. Real numbers are used in measurements of continuously varying quantities such as size and time, in contrast to the natural numbers 1, 2, 3, …, arising from counting.
COMPLEX NUMBERS
Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im)
Video for understanding https://youtu.be/OQz1ydBcQSA
THE END