ORDER OF OPERATIONS USING
BODMAS
To evaluate expressions that involve more than one operation, we will use a set of rules called the order of operations.
BODMAS is the rule that can be used to simplify or evaluate complicated numerical expressions with more than one operation.
Note :
In some expressions, if there is multiplication and division, we have to do the operations one by one in the order from left to right.
Example 1 :
4 × 6 ÷ 2 - 82 + 15
Solution :
|
= 4 × 6 ÷ 2 - 82 + 15 = 4 × 6 ÷ 2 - 64 + 15 = 4 × 3 - 64 + 15 = 12 - 64 + 15 = 12 - 49 = -37 |
Order of power Division Multiplication Addition Subtraction |
Example 2 :
43 ÷ 8 × 2 - 72 + 1
Solution :
|
= 43 ÷ 8 × 2 - 72 + 1 = 64 ÷ 8 × 2 - 49 + 1 = 8 × 2 - 49 + 1 = 16 - 49 + 1 = 16 - 48 = -32 |
Order of power Division Multiplication Addition Subtraction |
Example 3 :
102 - 8 × 8
Solution :
|
= 102 - 8 × 8 = 100 - 64 = 36 |
Order of power, Multiplication Subtraction |
Example 4 :
22 + 45 ÷ 5 × 32
Solution :
|
= 22 + 45 ÷ 5 × 32 = 22 + 45 ÷ 5 × 9 = 22 + 9 × 9 = 22 + 81 = 103 |
Order of power Division Multiplication Addition |
Example 5 :
96 ÷ 42 - 92 + 1
Solution :
|
= 96 ÷ 42 - 92 + 1 = 96 ÷ 16 - 81 + 1 = 6 - 81 + 1 = 6 - 80 = -74 |
Order of power Division Addition Subtraction |
Example 6 :
48 ÷ 24 - 5
Solution :
|
= 48 ÷ 24 - 5 = 48 ÷ 16 - 5 = 3 - 5 = -2 |
Order of power Division Subtraction |
Example 7 :
8 - 22 + 4 × 64 ÷ 42
Solution :
|
= 8 - 22 + 4 × 64 ÷ 42 = 8 - 4 + 4 × 64 ÷ 16 = 4 + 4 × 4 = 4 + 16 = 20 |
Order of power Division Multiplication Addition |
Example 8 :
15 × 3 - 1 + 92 ÷ 27
Solution :
|
= 15 × 3 - 1 + 92 ÷ 27 = 15 × 3 - 1 + 81 ÷ 27 = 15 × 3 - 1 + 3 = 45 - 1 + 3 = 45 + 2 = 47 |
Order of power Division Multiplication Addition Addition |
Example 9 :
11 + 62 × 1
Solution :
|
= 11 + 62 × 1 = 11 + 36 × 1 = 11 + 36 = 47 |
Order of power Multiplication Addition |
Example 10 :
62 + 4 - 18 ÷ 6
Solution :
|
= 62 + 4 - 18 ÷ 6 = 36 + 4 - 3 = 40 - 3 = 37 |
Order of power, Division Addition Subtraction |
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