The integers are the positive whole numbers 0 and negative numbers For any two integers on a number line the number to the right is greater
Math Definitions: Introduction to Numbers Word Definition Integer A counting number zero or the negative of a counting number No fractions or
Addition and Subtraction of Integers Integers are the negative numbers zero and positive numbers Addition of integers An integer can be represented or
INTEGERS 45 MATHEMATICS Example 12: Write the digits 0 1 2 3 4 5 6 7 8 and 9 in this order and insert '+ 'or '–' between them to get the result
MATHEMATICS 118 6 2 2 Ordering of integers Raman and Imran live in a village where there is a step well There are in all 25 steps down to the bottom of
Number theory is a branch of mathematics that explores integers and their Definition: Assume 2 integers a and b such that a =/ 0 (a is not equal 0)
Definition 1 1 Given two integers a b we say that a is less than b written a b if there exists a c ?N such that
PRIMITIVE TERMS To avoid circularity we cannot give every term a rigorous mathematical definition; we have to accept some things as undefined terms
GREATEST COMMON FACTOR The GCF of a set of numbers is the largest number that can be evenly divided into each of the given numbers
When you subtract a positive integer, move to the left along the number line Page 7 {7} The Improving Mathematics Education in Schools (TIMES) Project
Definition Examples Not Examples Natural Numbers The numbers that we use Integer A counting number, zero, or the negative of a counting number
Rules for Integers Adding Integers Rule: If the signs are the same, add and keep the same sign (+) + (+) = add the numbers and the answer is positive
MATHEMATICS 118 6 2 2 Ordering of integers Raman and Imran live in a village where there is a step well There are in all 25 steps down to the bottom of
In constructing , we used the informal system of whole numbers as the guide for what = All this motivates the following formal definition of the set of integers,