Number Systems

Number sets

N : Natural numbers {0, 1, 2, 3, ... }.        Also informally referred to as "whole" numbers, or "counting" numbers (without zero).Z:   Integers {...-3, -2, -1, 0, 1, 2, 3, ... }.    Natural numbers and their negatives. Q:  Rational numbers.                               Can be written in the form p/q (q not 0). They are fractions (also include N because they can                                                                         be written as N/1) [Remember Q for Quotient]Q':  Irrational numbers (not rational).    The decimal form does not terminate or repeat. Common examples are pi and √2.R:   Real numbers.                                      Includes rational and Irrational numbers.

How to find rational numbers between two numbers?

Example: Find 6 rational numbers between 2 and 3.Method 1:Write equivalent fractions with a denominator of 7 (6+1). 2= 14/73 =21/7Answer:{15/7,16/7,17/7,18/7,19/7,20/7}Method 2:2.1 = 2+1/10 = 21/10etc NOTE: There are actually infinitely many rational numbers between 2 & 3!!!

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Caption: : Another method is to convert decimals.