Below are the rules for comparing modulus of positive and negative numbers. Examples are also given for a better understanding of the theoretical material.
Content
Module Comparison Rules
positive numbers
Moduli of positive numbers are compared in the same way as real numbers.
examples:
- |6| > |4|
- |15,7| < |9|
- |20| = |20|
Negative numbers
- If the modulus of one of the negative numbers is less than the other, that number is greater.
- If the modulus of one of the negative numbers is greater than the other, that number is the smaller one.
- If the modules of negative numbers are equal, then these numbers are equal.
examples:
- |-7| < |-3|
- |-5| > |-14,6|
- |-17| = |-17|
Note:
On the coordinate axis, the larger negative number is to the right of the smaller one.