Question

INTRODUCTION TO INTEGERS EXPLANE .​

Answer 1

Answer:

In Maths, integers are the numbers which can be positive, negative or zero, but cannot be a fraction. These numbers are used to perform various arithmetic operations, like addition, subtraction, multiplication and division. The examples of integers are, 1, 2, 5,8, -9, -12, etc.

An integer is any number which is included in a set of combination of all the above numbers types. i.e. if we construct a set of all natural numbers, whole numbers, and negative numbers then such a set is called an Integer set, it can be represented as,

(……-3, -2, -1, 0, 1, 2, 3, ……)

So, every natural number is an integer, every whole number is an integer, and every negative number is an integer. The sum of 2 or more integers is an integer, for example, 2 + 4+ (-2) = 4. Also, the subtraction of 2 integers is also an integer, for example 2 + (-4) = -2. Similarly, the multiplication of 2 integers is also an integer, for example, 2 × -4 = -8.

The set of integers does not include fractions i.e p/q form or numbers which are in decimals eg: 2.4, 3.2 etc. The set of integers is an infinite set which means it has no ending on either side. That is because for every number on either the positive or negative side there is always one another number at an increment or decrement of 1 respectively. Hence the set of integers cannot be bound and is thus inexhaustible

Answer 2

Answer:

Integer is a Latin word that means whole. An integer may comprise a set of whole numbers that include zero, positive number and negative number. Integers, however, do not include decimals, percents, and fractions. For understanding the basics of integers we need to represent it on a number line. The figure above shows numbers marked on a number line:

The numbers on the right side of zero (0) are positive numbers while those on the left side are negative numbers. When we arrange these numbers in ascending order, the negative numbers are the lowest while the positive numbers are the highest. So in the number line above, amongst the numbers-5, 1 and 2 the number -5 is the lowest whereas 2 is the highest.