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 |
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