Question

If we multiply six negative integers and six positive integers, then the resulting integer is _______. 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 : $a\times b\times c\times d\times e\times f\times (-g)\times (-h)\times (-i)\times (-j)\times (-k)\times (-l)=a\times b\times c\times d\times e\times f\times g\times h\times i\times j\times k\times l$, where $a,b,c,d,e,f,g,h,i,j,k\mathrm{and}l$ are integers

Hence, If we multiply six negative integers and six positive integers, then the resulting integer will be a positive integer.