Thread: which is greater

-6 -9
which is greater < >
not sure, but I think the answer is

-6 < -9
is my answer correct?

Originally Posted by breanna2471

-6 -9
which is greater < >
not sure, but I think the answer is

-6 < -9
is my answer correct?

no. -9 is less than -6.

start with the positive numbers. we know that 6 < 9

if we multiply through by -1, we have to turn around the inequality sign, so we get: -6 > -9

you can also use a number line to see this. -9 is farther away to the left of zero than -6 is. the farther away from 0 we are in that direction, the more negative the number is and hence the smaller it is

Which would you prefer to owe me 9 dollars or to owe me 6 dollars?
Thus the most advantageous is –9<-6 would it not?
You know that 6<9 so the opposite is –9<-6.