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Evaluating Algebraic Expressions - BODMAS


When evaluating algebraic expressions, you will need to follow the right order of operations in order to get the right answer. In this posting we will cover the approach we call BODMAS - which denotes the order inwhich operators are applied:
BODMAS stands for (Brackets -> Orders (such as powers and square roots, cube root, etc) -> Division and Multiplication (left to rigth) -> Addition -> Subtraction).



For example : Calculate,

7 + (3 x 52 - 4)

First we start within the brackets, apply the BODMAS rule within the bracket and then continue with what is outside the brackets.

Thus, 7 + (3 x 25 - 4)
=> 7 + (75 - 4)
=> 7 + 71
=> 78


Example 2:

Calculate : 4 + 6 x 7 - 3

Step 1: Remember Multiplication comes before Addition and Subtraction. Thus,
=> 4 + 42 - 3
=> 46 - 3
=> 43
This is the right way to do it. The wrong way to do this would be:

=> 4 + 6 x 7 - 3
=> 10 x 7 - 3
=> 70 - 3
=> 67




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