Integer Math

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 Integer Review:    Fundamentals of Integers , Rules for Multiplication , Rules for divisibility,  Division Terminology,  Even & Odd Integer,  Rules about even & odd integer, Prime Number,  Prime Factorization ,  Distinct Prime Number,  LCM & HCF,  Composite Numbers ,  Consecutive Integers

Class Questions :   Exercise 1         Exercise 2         Exercise 3        Exercise 4      Exercise 5

Practice Questions :   Solutions  


                     Integer 

Fundamentals of Integers

Integers are basically Whole numbers with + and – sign. It means that the numbers -1, -2, -3, -4 …….. 0 ……….1, 2, 3, 4, 5, 6……. all are integers.
  • The 0 (zero) is neither positive nor negative integer.
  • The integer does not have decimal or fraction.
           e.g. 3.4, 5.8, 25.6, 89.34, 2/5, 8/9, 15/25, are not integers.
  • A positive integer is always greater than “0”.
          Suppose ‘x’ is a positive integer, it means that values of ‘x’ should be 1, 2, 3, 4,             5…….25, 26, 28 ……..545,546, 548……………. .
  • A negative integer is always less than “0”.
 If condition is given that ‘x’ is a negative integer than take the value for ‘x’ as -1,-2,-3,-4,-5………….

Multiplication of Integers

When we multiply two integers, result is always an integer.
i.e.  4 x 6 = 24
12 x 8 = 96.
a). Multiplying two positive integers gives always positive value .  e.g.
  1. 3 x 7 =21
  2. 12 X 12 = 144
b). Multiplying two negative integers always gives positive value. e.g.
  1. – 5 x – 8 = 40
  2. – 11 x -12 = 132
c). Multiplying one positive and one negative integer always gives negative value. e.g.
  1. 7 x -9 = – 63
  2. -3 x 8 = – 24

final summary  of muliplication of integers.

  1.          +(positive)    x    + (positive)    =   +(positive)
  2.          – (Negative)  x    -(Negative)    =   +(positive)
  3.          +(positive)    x     -(Negative)   =    -(Negative)
  4.          -(Negative)   x      +(Positive)   =    -(Negative)

 Integer Review:    Fundamentals of Integers , Rules for Multiplication , Rules for divisibility,  Division Terminology,  Even & Odd Integer,  Rules about even & odd integer, Prime Number,  Prime Factorization ,  Distinct Prime Number,  LCM & HCF,  Composite Numbers ,  Consecutive Integers

Class Questions :   Exercise 1         Exercise 2         Exercise 3        Exercise 4      Exercise 5

Practice Questions :   Solutions  

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