There are many situations in which you need to use numbers below zero, one of these is temperature, others are money that you can deposit (positive) or withdraw (negative) in a bank, steps that you can take forwards (positive) or backwards (negative).
Positive integers are all the numbers greater than zero: 1, 2, 3, 4, 5, … . Negative integers are all the opposites of these numbers: -1, -2, -3, -4, -5, …. . The integers are the set of positive numbers, negative numbers and zero. We use the letter Z to refer to this set.
Z = {…, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, …}
The number line is a line labelled with the integers in increasing order from left to right, that extends in both directions:

- 9 > 4 Is read: nine is greater than four
- -7 < 9 Is read: minus seven is less than nine.





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