Question

i've got a problem

the question is

what is another name for counting numbers

Answer 1

There are at least two other names. Check this site.

http://mathworld.wolfram.com/CountingNumber.html

Answer 2

i've got another problem

the question is

which counting numbers are also whole numbers

i read this part in my book
(the set of whole numbers does not include any numbers less then zero)

so would it mean the numbers 1- 9 that are the whole numbers

Answer 3

The names counting number is not exactly widely used, and agree on what it means.
Most folks would say counting numbers are 0,1,2,3,4,5,..... and whole numbers are 1,2,3,4,5,....

But, I wouldn't make a big issue on the distinction, as many have differing definitions.

There is an entirely, but separate issue, with the number "zero". Don't lose sleep over it.