# Is there a number greater than infinity

## This is math 1, textbook

A3 Order of natural numbers 21 3 Order of natural numbers 3.1 Order of natural numbers Have you ever thought about how many numbers there are? Is there a largest number, e.g. Googol (a one with 100 zeros)? One could still count on from this number too! Note: There are other numbers such as decimal numbers (0.5; 1.25; 2.7 ...), fractions (1 _ 2, 1 _ 3, 3 _ 4 ...), negative numbers (- 1, - 2, - 3 ...) and even more; we will get to know some of them in more detail later. Order of natural numbers When counting, 0 comes before 1, 1 before 2, 2 before 3, etc. So 0 is less than 1, 1 is less than 2, 2 is less than 3, etc. There is a sign for “less than”, namely <. One writes 0 <1, 1 <2, 2 <3 etc. These relationships are called inequalities. Of two different natural numbers, one is always smaller than the other. This can be expressed in two ways. 2 <6 means “2 is less than 6” 6> 2 means “6 is greater than 2” In addition to the “<” and “>” characters, there are also “≤” and “≥”. The additional dash is a combination with the "=" sign and means less than or equal to or greater than or equal to. Number sets In mathematics it is common to group numbers with a common property into a set. Quantities are indicated with capital letters. The numbers that belong to a set are written in set brackets {…}. Some examples: Description of the set Set All natural numbers between 8 and 13 A = {9, 10, 11, 12} All multiples of 3 V 3 = {3, 6, 9, 12…} All natural numbers N = {0, 1, 2, 3…} All even natural numbers N g = {0, 2, 4, 6…} All odd natural numbers N u = {1, 3, 5…} Note The Natural numbers occur very frequently and are therefore given their own capital letter: N (an N with an additional dash). interactive preliminary exercise m3mi7u The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ... are called natural numbers. There are infinitely many natural numbers. Natural numbers AH p. 10 The tip of the "<" or ">" sign always points to the smaller number! Tip The natural numbers are ordered. With the help of the characters "<" or ">" you can indicate which number is smaller or larger. Every natural number has two neighbors, the predecessor and the successor e.g. 3 <4 <5. Only the number zero is an exception: It has no predecessor among the natural numbers, because it is the smallest natural number. Order of the natural numbers For testing purposes only - property of the publisher öbv