Question

If we multiply five positive integers and one negative integer, then the resulting integer is _______. Fill in the blanks to make the statement true.

Answer 1

Rules for multiplying positive and negative integers

• When a positive integer is multiplied with a positive integer then the resulting integer will be a positive integer.
• When a positive integer is multiplied with a negative integer or vice versa then the resulting integer will be a negative integer.
• When a negative integer is multiplied with a negative integer then the resulting integer will be a positive integer.

It can be written as,

positive integer $\times$ positive integer $=$ positive integer

negative integer $\times$ negative integer $=$ positive integer

positive integer $\times$ negative integer $=$ negative integer

negative integer $\times$ positive integer $=$ negative integer

For Example: there are five positive integers $2,4,5,7,3$ and one negative integer $-2$.

By multiplying,

$2\times 4\times 5\times 7\times 3\times (-2)=-1680$

The resulting integer is negative.

Hence, If we multiply five positive integers with one negative integer then the resulting integer will be negative.