Question

If we multiply ________ number of negative integers, then the resulting integer is positive. Fill in the blanks to make the statement true.

Answer 1

Rules for multiplying positive and negative integers

• when we multiply two integers with the same sign then the resulting integer will be a positive integer.
• when we multiply two integers with different signs then the resulting integer will be a negative 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: Assume four negative numbers, $(-1),(-2),(-3)$ and $(-4)$

Now if multiply them, we will get, $(-1)\times (-2)\times (-3)\times (-4)=24$, which is a positive number.

Therefore, if we multiply even number of positive integers, they will cancel the negative sign and results in a positive integer.

Hence, If we multiply even number of negative integers, then the resulting integer is positive.