Numbers that are less than zero are known as Negative Numbers. Chapter 5 Negative Numbers and Integers introduces negative numbers and their uses in real-life situations. In the case of negative numbers, the lower magnitude number is considered greater. For example, -27 < -15. The absolute value of a number is its distance from the number line, also known as modulus of a number and denoted by |x|. The absolute value of a number cannot be negative.
There are few rules to follow while performing various calculations. Adding a negative and positive integer, find the difference between them and include the symbol of greater absolute value. In simple words, when a larger positive integer is added to a smaller negative number, we subtract the integers and include a positive (+) sign. When both the addends are negative, we find the sum and include a negative sign (-) in front. When two negative integers are multiplied, they always result in a positive integer. For lower magnitude numbers, it is possible to find their sum through a number line.
The chapter then talks about the additive inverse of negative numbers. It says that 'the additive inverse of negative numbers is a positive number and vice versa. Therefore, the successors and predecessors of negative numbers can be easily found by adding and subtracting 1 to and from the number to avoid confusion. This chapter further focuses on the difference between two negative numbers. The method is as follows, change the sign of the second subtrahend, perform subtraction and then include the larger number sign.