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

Operation

Multiplication

Subtract

Result

Problem 2 :

-2 - 3 × - 4

Solution:

Evaluation

= -2 - 3 × - 4

= -2 - (-12)

= -2 + 12

= 10

Operation

Multiplication

Subtract

Result

Problem 3 :

-4 - 18 ÷ 3

Solution:

Evaluation

= -4 - 18 ÷ 3

= -4 - 6

= -10

Operation

Division

Addition

Result

Problem 4 :

(5 - 10) × (3 - 5)

Solution:

Evaluation

= (5 - 10) × (3 - 5)

= -5 × -2

= 10

Operation

Grouping

Multiplication

Result

Problem 5 :

-10 + 2 × -4

Solution:

Evaluation

= -10 + 2 × -4

= -10 - 8

= -18

Operation

Multiplication

Addition

Result

Problem 6 :

3 × -4 + -5 × -2

Solution:

Evaluation

= 3 × -4 + -5 × -2

= -12 + 10

= -2

Operation

Multiplication

Subtract

Result

Problem 7 :

(8 - 12) × 3 - 7

Solution:

Evaluation

= (8 - 12) × 3 - 7

= -4 × 3 - 7

= -12 - 7

= -19

Operation

Grouping

Multiplication

Addition

Result

Problem 8 :

8 - 12 × (3 - 7)

Solution:

Evaluation

= 8 - 12 × (3 - 7)

= 8 - 12 × -4

= 8 - (-48)

= 56

Operation

Grouping

Multiplication

Addition

Result

Problem 9 :

8 - 12 × 3 - 7

Solution:

Evaluation

= 8 - 12 × 3 - 7

= 8 - 36 - 7

= 8 - 43

= -35

Operation

Multiplication

Addition

Subtraction

Result

Problem 10 :

7 - 2 × -3 + 4 × -5

Solution:

Evaluation

= 7 - 2 × -3 + 4 × -5

= 7 + 6 - 20

= 13 - 20

= -7

Operation

Multiplication

Addition

Subtraction

Result

ORDER OF OPERATIONS

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