Combined Operations Many occupations require the use of combined operations when solving problems. We will be using formulas that contain symbols that.

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Presentation transcript:

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.

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combined Operations

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

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

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

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…

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

Combined Operations