Multiplication of Integers
The product of two integers of the same sign is a positive integer equal to the product of the absolute value of the integers. The product of two integers of opposite sign is a negative integer, whose absolute value is equal to the product of their absolute value.
If, a, b, c are the integers
1) a X b = b X a
2) 0 X a = a X 0 = 0
3) 1 X a = a X 1 = a
4) a X (b + c) = (b + c) X a = (a X b) + (a X c)
Multiplication of positive integers –
The product of two integers of the same sign is a positive integer equal to the product of the absolute value of the integers.
Example.1) (+12) X (+9) = + (12 X 9) = + 108
Example.2) (+115) X (+12) = + (115 X 12) = + 1380
Example.3) (+110) X 0 = 0 X (+110) = 0
Example.4) (+175) X 1 = 1 X (+175) = +175
Multiplication of negative integers –
The product of two integers of opposite sign is a negative integer, whose absolute value is equal to the product of their absolute value, multiplication of integers is commutative –
Example.1) (+12) X (-50) = - (12 X 50) = - 600
Example.2) (-10) X (-45) = + 450 (Multiplication of two negative integers provides positive integers)
Example.3) (-280) X 0 = 0 X (-280) = 0
Example.4) (-18) X 1 = 1 X (-18) = -18