Order of Operations - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction (PEMDAS)

 

 

Objective: I know how to perform mixed operations with parenthesis, exponents, multiplication, division, addition, and subtraction.

 

If the calculations involve a combination of parenthesis, exponents, multiplication, division, addition, and subtraction then

Step 1: First, perform the operations within the parenthesis

Step 2: Second, evaluate the exponents.

Step 3: Third, perform multiplication and division from left to right.

Step 4: Fourth, perform addition and subtraction from left to right.

 

Example:

Calculate 23 – 3 × (8 – 6) =

 

Solution:

23 – 3 × (8 – 6) (perform within parenthesis)

= 23 – 3 × 2 (evaluate the exponent)

= 8 – 3 × 2(perform multiplication)

= 8 – 6 (perform subtraction)

= 2

 

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Calculate the following:

10 × 32 + 5 =

52– 12 ÷ 3 × 22 =

3 × (4 + 52) =

24× (10 – 7) =

42 + (4 – 3)2 =

(23 + 5 × 2) + 6 =

(14 –10)2× 6 =

(32 + 3)2 =

30 – (10 – 6)2 =

34 + 6 × (42 ÷ 2) =

 

 

 

 

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