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Definition of Integer

Definition of Integer

Integers are the set of whole numbers including positive and negative numbers. The set of integers is { …………, -4,-3.-2,-1,0,1,2,3,4,………..} . The number line is used to represent the set of integers.

Examples of Integers

Definition of Integer

Integers are the set of whole numbers including positive and negative numbers. The set of integers is …………, -4,-3.-2,-1,0,1,2,3,4,……….. . The number line is used to represent the set of integers.

Examples of Integers

-11.01

845

-81

471

Number Line:

The number line is labeled with the integers in ascending order from left to right. The distance is same between any two consecutive integers on a number line

Example on Number Line

Represent the integers -7, -3, 5 on a number line

Number Line

Solved Example on Integer

Which of these sets orders the integers 7, -3, -7, 0, 9 from greatest to least?

Solution

  1. Draw a number line and represent the integers on it.
  2. Write the order from right to left to get the greatest to least integer

Integers

-7 -3 0 7 9

Order is 9, 7, 0, -3, and -7

Integers are of two types

Positive Integer – positive integers are the whole numbers greater than zero and these numbers are to the right of zero on the number line

Negative Integer – Negative integers are the whole numbers less than zero. It is also called as opposites. It is represented using the negative sign. These numbers are to the left of zero on the number line.

Zero is neither positive nor negative, so it is called neutral. Two integers are opposite if they are in the same distance. For example +4 and -4 gives opposites. Additive Inverse is opposite of a number.

Integers

The two parts of integers are magnitude of the integer and sign of the integer. The whole number component of an integer is the magnitude and the positive, negative deals in the sign of the integer.

Example1: Find the magnitude and the sign of an integer

23 - Magnitude is 23 and the sign is Positive

-16 – Magnitude is 16 and the sign is Negative

Example2: Write an integer to represent

7 degrees above zero +7

6 steps backward -6

Example3: Name the opposite of each integer

-12, +5

+12 is the opposite of -12

-5 is the opposite of +5