Interpreting the GEMDAS Rule and Performing Two or More Different
Operations
Illustrative Example
Expression
Interpretation
(Solution)
42 x (5 - 2)2 - 1
42 x (5 - 2)2 -
1
= 42 x 32-1
Explanation
Mathematical
(GEMDAS) Operation Used
Rule 1: Simplify first the Subtraction
operation inside the
parenthesis.
Rule 2: Simplify the Multiplication
expressions with exponents.
Rule 3: Do the Multiplication
mathematical operation
from the left (Multiplication
or Division)
Rule 4: Do the remaining Subtraction
mathematical operation
(Addition or Subtraction)
= 16 x 9 - 1
= 144 - 1
Answer:
= 143
Operations
Illustrative Example
Expression
Interpretation
(Solution)
42 x (5 - 2)2 - 1
42 x (5 - 2)2 -
1
= 42 x 32-1
Explanation
Mathematical
(GEMDAS) Operation Used
Rule 1: Simplify first the Subtraction
operation inside the
parenthesis.
Rule 2: Simplify the Multiplication
expressions with exponents.
Rule 3: Do the Multiplication
mathematical operation
from the left (Multiplication
or Division)
Rule 4: Do the remaining Subtraction
mathematical operation
(Addition or Subtraction)
= 16 x 9 - 1
= 144 - 1
Answer:
= 143
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In the given problem, apply your knowledge in algebra and basic mathematics specially in performing mathematical operation and application of PEMDAS or GEMDAS.
Given Expression
5² × (4 - 2)²
Interpretation (Solution)
5² × (4 - 2)²
5² × 2²
25 × 4
Answer: 100
Explanation (GEMDAS)
Rule 1: Simplify first the operation inside the parenthesis.
Rule 2: Simplify the expression with exponents.
Rule 3: Do the mathematical operation (Multiplication).
Mathematical Operation Used
Subtraction
Multiplication
Multiplication
Given Expression
3² × (6 - 2)²
Interpretation (Solution)
3² × (6 - 2)²
3² × 4²
9 × 16
Answer: 144
Explanation (GEMDAS)
Rule 1: Simplify first the operation inside the parenthesis.
Rule 2: Simplify the expression with exponents.
Rule 3: Do the mathematical operation (Multiplication).
Mathematical Operation Used
Subtraction
Multiplication
Multiplication
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