 # Order of Operations - 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

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Calculate the following.

10 ÷ 2 - (16 ÷ 4) + 14 =

2 - (2 - 2) + (8 + 13) + 10 =

15 + 19 - 8 + 7 =

23 × 17 + 24 - (16 ÷ 2 + 19) =

(8 ÷ 2 + 16) + 13 =

(14 × 13 + 18) + (19 + 17 - 10) =

9 × 20 + 12 - 11 =

(16 ÷ 2) × 12 × 23 =

(21 × 19 + 18) × 3 =

5 × 5 + 4 × 3 + 7 =

10 ÷ 5 × (16 ÷ 2) + 20 - 17 =

(17 × 9) × 17 + 20 =

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