Showing posts with label Number sets. Show all posts
Showing posts with label Number sets. Show all posts

Friday, March 14, 2014

Prime numbers up to 100

Do you know what is a prime number? To help you understand what is this special number and to use them to study maths, below you can find the definition of prime numbers and the first prime numbers up to 100.


The simplest definition is that a prime number is a number that is only divisible by itself and 1. That is, it has two dividers. For this reason, it is not considered the number 1 to be a prime number. All the numbers that have more than two dividers are called composite numbers. 


For example, the set of dividers of the number 5 is {1,5}, then 5 is a prime number. 


There are an infinite number of primes. Below are the prime numbers up to 100. 


List of the prime numbers up to 100: 

2, 3, 5, 7, 
11, 13, 17, 19, 
23, 29, 
31, 37, 
41, 43, 47, 
53, 59, 
61, 67, 
71, 73, 79, 
83, 89, 
97

Friday, February 21, 2014

Number sets

In mathematics, to easily organize the study of numbers, it was necessary to make groups. In each group were united the numbers having the same characteristics. Throughout history, number sets have evolved, until we get to the current organization of numbers. In the diagram below you can see the currently existing number sets. We left out purposely complex numbers and other even more complicated. Hope you use this to study maths.


natural, integers, rational, irrational and real numbers


Natural numbers - N

The natural numbers are those that can represent something in nature. Thus, we consider natural numbers all integers greater than zero. N = {1, 2 , 3, 4, 5, ...}

There is a group of natural numbers, but now integrating zero.


Integers - Z

The integers cover all natural numbers, zero, and also the opposite of the natural numbers. Thus, Z = {... -5, -4 , -3, -2, -1 , 0, 1 , 2, 3 , 4, 5 ...}


Rational numbers - Q

The rational numbers include the integers (example: -6) and decimal, finite (example: 2,493) and with infinite repeating decimal (example: 0.456456456 ...) The rational numbers can be represented by a fraction. 


Irrational Numbers - I

This set consists of infinite decimal numbers with a non repeating decimal. As examples, we have 0,428465242 ..., or pi (3.1415926 ...).


Real numbers - R

The real numbers is the set of all number sets referred aboved.