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Explain the multiplications and division of integers?
Multiplication of integers is similar to the multiplication of whole numbers except that the sign of the product depends on the signs of the integers multiplied.
The sign of the product is based on the following rules:
$Positive \times positive$ = positive
$Negative \times negative$ = positive
$Positive \times negative$ = $negative \times positive$ = negative
For example,
2x3=6
-2 $\times$ -3 = -ve $\times$ -ve (2 \times 3) =6
2 $\times$ -3 = -3 $\times$ 2 = -(2 \times 3) = -6
The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
The division is the inverse of multiplication.
The sign of the result is based on the following rules:
Positive ÷ positive = positive
Negative ÷ negative = positive
Positive ÷ negative = negative ÷ positive = negative
For example,
$\frac{10}{2}$=5
$\frac{-10}{-2}$=5
$\frac{-10}{2}$=-5