# ORDER OF OPERATIONS

To evaluate expressions that involve more than one operation, we will use a set of rules called the order of operations.

PEMDAS 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.

Problem 1 :

3 + -7 × 2

Solution:

 Evaluation= 3 + -7 × 2= 3 - 14 = -11 OperationMultiplicationSubtractResult

Problem 2 :

-2 - 3 × - 4

Solution:

 Evaluation= -2 - 3 × - 4= -2 - (-12)= -2 + 12= 10 OperationMultiplicationSubtractResult

Problem 3 :

-4 - 18 ÷ 3

Solution:

 Evaluation= -4 - 18 ÷ 3= -4 - 6= -10 OperationDivisionAdditionResult

Problem 4 :

(5 - 10) × (3 - 5)

Solution:

 Evaluation= (5 - 10) × (3 - 5)= -5 × -2= 10 OperationGroupingMultiplicationResult

Problem 5 :

-10 + 2 × -4

Solution:

 Evaluation= -10 + 2 × -4= -10 - 8= -18 OperationMultiplicationAdditionResult

Problem 6 :

3 × -4 + -5 × -2

Solution:

 Evaluation= 3 × -4 + -5 × -2= -12 + 10= -2 OperationMultiplicationSubtractResult

Problem 7 :

(8 - 12) × 3 - 7

Solution:

 Evaluation= (8 - 12) × 3 - 7= -4 × 3 - 7= -12 - 7= -19 OperationGroupingMultiplicationAdditionResult

Problem 8 :

8 - 12 × (3 - 7)

Solution:

 Evaluation= 8 - 12 × (3 - 7)= 8 - 12 × -4= 8 - (-48)= 56 OperationGroupingMultiplicationAdditionResult

Problem 9 :

8 - 12 × 3 - 7

Solution:

 Evaluation= 8 - 12 × 3 - 7= 8 - 36 - 7= 8 - 43= -35 OperationMultiplicationAdditionSubtractionResult

Problem 10 :

7 - 2 × -3 + 4 × -5

Solution:

 Evaluation= 7 - 2 × -3 + 4 × -5= 7 + 6 - 20= 13 - 20= -7 OperationMultiplicationAdditionSubtractionResult

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