1. Combined Operations Many occupations require the use of combined operations when solving problems. We will be using formulas that contain symbols that will have multiple operations involved. So we need to get an understanding of the order in which mathematical calculations occur.

2. Combined Operations Many occupations require the use of combined operations when solving problems. We will be using formulas that contain symbols that will have multiple operations involved. So we need to get an understanding of the order in which mathematical calculations occur. We will use what is commonly referred to as P.E.M.D.A.S. ** the saying “please excuse my dear aunt sally” is used to memorize the acronym

3. Combined Operations Many occupations require the use of combined operations when solving problems. We will be using formulas that contain symbols that will have multiple operations involved. So we need to get an understanding of the order in which mathematical calculations occur. We will use what is commonly referred to as P.E.M.D.A.S. This is the order we will follow to make our calculations.

4. Combined Operations Many occupations require the use of combined operations when solving problems. We will be using formulas that contain symbols that will have multiple operations involved. So we need to get an understanding of the order in which mathematical calculations occur. We will use what is commonly referred to as P.E.M.D.A.S. This is the order we will follow to make our calculations. Here is how it works… P arentheses - anything inside parentheses must be done first E M D A S

5. Combined Operations Many occupations require the use of combined operations when solving problems. We will be using formulas that contain symbols that will have multiple operations involved. So we need to get an understanding of the order in which mathematical calculations occur. We will use what is commonly referred to as P.E.M.D.A.S. This is the order we will follow to make our calculations. Here is how it works… P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M D A S

6. Combined Operations Many occupations require the use of combined operations when solving problems. We will be using formulas that contain symbols that will have multiple operations involved. So we need to get an understanding of the order in which mathematical calculations occur. We will use what is commonly referred to as P.E.M.D.A.S. This is the order we will follow to make our calculations. Here is how it works… P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A S

7. Combined Operations Many occupations require the use of combined operations when solving problems. We will be using formulas that contain symbols that will have multiple operations involved. So we need to get an understanding of the order in which mathematical calculations occur. We will use what is commonly referred to as P.E.M.D.A.S. This is the order we will follow to make our calculations. Here is how it works… P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

8. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

9. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

10. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

11. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

12. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

13. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

14. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

15. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

16. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

17. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

18. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

19. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

20. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

21. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

22. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

23. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

24. Combined Operations P arentheses - anything inside parentheses must be done first E xponents - all exponents are next M ultiplication - multiplication and division are done in order left to right D ivision A ddition - addition and subtraction are done in order left to right S ubtraction

25. Combined Operations

27. ** multiplication before subtraction ( numerator ) ** division before addition ( denominator )

28. Combined Operations ** multiplication before subtraction ( numerator ) ** division before addition ( denominator ) ** simplified both

29. Combined Operations ** multiplication before subtraction ( numerator ) ** division before addition ( denominator ) ** simplified both

30. Combined Operations APPLICATION Problems In real world examples, formulas are used to help solve problems. These formulas contain variables that represent quantities found in the problem. An easy one is profit…

31. Combined Operations APPLICATION Problems In real world examples, formulas are used to help solve problems. These formulas contain variables that represent quantities found in the problem. An easy one is profit… To find the profit of a company you take the Total Revenue – Total Costs

32. Combined Operations