SECTION 3 6 COMBINED OPERATIONS WITH FRACTIONS BEDMAS

SECTION 3. 6 COMBINED OPERATIONS WITH FRACTIONS

BEDMAS If there is more than one operation in an expression, we need to simplify the operations in order Brackets Exponents Divide/Multiply Add/Subtract Ex: Simplify & evaluate the following According to “BEDMAS” we should multiply the two fractions on the left first Now subtract the two fractions by getting the LCD

Practice: Evaluate the following expression. Write your answer as a fraction The squared sign means that you multiply it by itself

Practice: Simplify and evaluate the following:

APPLICATIONS OF RATIONAL NUMBERS Temperature conversion: Fahrenheit vs Celsius Fahrenheit - used in USA Celsius – used in Canada Fuel consumption of vehicles – ie: how much gas is required to drive a car for 100 km Calculating rental costs for a car or building Science – relationship between two variables, Ie: Height vs weight, IQ vs Age, Speed vs Muscle mass Finance – investments, how much will you have if you invest $1000 for 10 years?

The relationship between Celsius and Fahrenheit degrees is given by the formula: where “C” is the degree in Celsius and “F” is the degree in Fahrenheit. Find the Celsius temperature which correspond to 50°F? 50°F is equal to 10°c

The rate of fuel consumption of a BMW Xi is given by the formula: Where “R” is the rate in litres per 100 km and “F” is the fraction of the driving on the highway. Find the value of “R” when 40% of the driving is on highway? It will require 6. 18 Litres of gas to drive 100 km, with 40% of the time on the highway

Challenge: The value (A) of an invest is given by the formula: where “P” is the principle, “r” is the interest rate, “n” is the number of compounds, and “t” is the number of years. If $1000 is invested for 10 years compounded 4 times a year at 7% interest (r=0. 07), what will the value be when the investment matures? Your investment will double in 10 years at 7% interest