INTEGERS

INTEGERS

INTRODUCTION

INTEGERS

The collection of whole numbers and negative numbers together is called the Integers.

All the positive numbers are positive integers and all the negative numbers are negative integers. Zero is neither a positive nor a negative integer.

INTEGERS

REPRESENTATION

Representation of Integers on Number Line

• NEGATIVE INTEGERS

• ZERO

• POSITIVE INTEGERS

Ordering of Integers

Some facts about Integers

• Any positive integer is always greater than any negative integer.

• Zero is less than every positive integer.

• Zero is greater than every negative integer.

• Zero doesn’t come in any of the negative and positive integers.

  
  

ADDITIVE INVERSE

4. Additive Inverse

• If we add numbers like (-7) and 7 then we get the result as zero. So these are called the Additive inverse of each other.

• If we add (-2) + (2), then first we move 2 steps to the left of zero then we move two steps to the right of (-2).so finally we reached to zero.

  
  

  
  

Addition of Integers

• 1. Addition of Two Positive Integers

• (+6) + (+7) = 6 + 7 = 13

  
  

  
  

  If you have to add two positive integers then simply add them as natural numbers.

  
  

ADDITION OF INTEGERS

• 2. Addition of Two Negative Integers

  
  

• If we have to add two negative integers then simply add them as natural numbers and then put a negative sign on the answer.

  
  

  
  

• (-6) + (-7) = - (6+7) = -13

  
  

  
  

ADDITION OF INTEGERS

• 3. Addition of One Negative and One Positive Integer

  
  

  
  

• If we have to add one negative and one positive integer then simply subtract the numbers and put the sign of the bigger integer. We will decide the bigger integer ignoring the sign of the integers.

  
  

• (-6) + (7) = 1 (bigger integer 7 is positive integer)

• (6) + (-7) = -1(bigger integer 7 is negative integer)

  
  

Subtraction of Integers on Number Line

• If we subtract an integer from another integer then we simply add the additive inverse of that integer.

• (-3) – (-2) = (-3) + 2 = -1

  
  

• 1. Subtraction of Two Positive Integers

• Subtract 2 from 5.

• To subtract 2 from 5, first, we move 5 steps to the right from zero then move 2 steps back to the left.

  
  

To subtract 2 from 5, first, we move 5 steps to the right from zero then move 2 steps back to the left.

2. Subtraction of Two Negative Integers

To subtract (-12) from (-8), first, we have to move 8 steps to the left of zero then move 12 steps to the right of (-8).

3. Subtraction of One Negative and One Positive Integer

b. To subtract a negative integer from any other integer

To subtract (-3) from (4), first, we have to move 4 steps to the right of zero then move 3 steps more to the right.