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If the number line has negative numbers to the left of zero and positive numbers to the right then the further you go to the right, the greater the numbers become.
A number line can have both positive and negative numbers. You can put the number line in any position, but often it is represented so that numbers to the right of zero are positive, and numbers to the left of zero, negative.
The convention is to locate positive numbers to the right of the point identified as zero on a number line.
Yes. In general, a negative number with a SMALLER absolute value (the value of the number once you remove the sign) is LARGER. If this looks confusing, look at the numbers on a number line. Zero is somewhere on the number line, positive numbers are to the right of zero (1, 2, 3, 4, ...), negative numbers are to the left of zero (-1, -2, -3, -4, ...). If one number is greater than another, then it is further to the right on the number line.
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.