# CLASS-6MULTIPLICATION OF INTEGERS

RULES OF MULTIPLICATION OF INTEGERS –

1) or your kind information, the product of two Integers is always is an Integers. If, x & y are an Integers then xy is always is an integer [Closure Property].

2) For all Integers x & y, we have (x . y) = (y . x) [Communicative law]

3) If x, y & z are an Integers then we have (x . y) . z = x . (y . z)   [Associative Law]

4) The Integers 1 is the multiplicative identity, when X x 1 = X  for every Integers X or  Y x 1 = Y for every Integers Y [Existence of Multiplicative Identity]

5) If Y is an Integers, then Y x 0 = 0 or 0 x Y = 0 for every Integers Y  [Multiplication property of ‘0’ Zero]

6) If x, y and z are an Integers,then x . (y + z) = (x . y) + (x . z) [Distribution Law of Multiplication over Addition]

MULTIPLICATION OF INTEGERS –

The product of two Integers with the same sign is a ‘+’ positive Integers obtained by multiplying the numerical values of the given Integers.

Example.  (+ 7) x (+ 8) = + 56

(- 9)  x (- 10) = + 90

The product of two Integers with different signs is the ‘-‘ negative of the Integer which is obtained by multiplying the numerical values of the given Integers.

Examples.  (+ 25) x (- 10)  = -250

(- 12) x (+ 8)  = - 96