Numbers less than zero are "negative numbers".
No it is not. It would be if it was a negative.
There are two statements and it is not clear which one you are referring to.
One third less than zero.
Yes, zero is technically bigger than negative one.
Negative numbers are less than zero and less than positive numbers, so that negative 12 is less than positive 11. To put it another way, if you have 11 dollars, but you owe 12 dollars, you will owe one dollar more than you have.
Zero fits into the sequence of integers; it is exactly one less than the number one, and it is exactly one more than the number negative one. It is also an integer because it is not a fraction.
A positive number is one that is greater than zero. A negative number is one that is less than zero. To visualize this, it is convenient to look at the numbers on a number line. A positive number is to the right of zero.
negative fourth fifths is less than negative one-third
Sure. If some of the items on the list are positive and some are negative, then their average can be positive, negative, or zero. But if all of them are positive, then their average must be more than zero. Remember that the average is always greater than the least item on the list, and less than the greatest one.
Because positive numbers are to the right of negative numbers on the number line. If you have two numbers, one the negative of the other, and you add the positive to the negative, you get zero. If you add the positive to zero, you get a positive number. So positive numbers are an increase from zero, which is an increase from negative numbers. A negative number may have a greater absolute value than a positive number, but it will always be less than a positive number.