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Pgs 137-142 What’s the answer? 6+4x4–3 Order of Operations Hopefully you remember this: BEDMAS Brackets, Exponents, Divide, Multiply, Add, Subtract B – Do the operations in brackets first E – Next, evaluate any exponents D M Then, divide and multiply in order from left to right A Then, add and subtract in order from left to right S Brackets Just be aware brackets can look like any of these. Exponents This will be our next unit, so we will just review the basics This is what you should know already: Exponent 32 Base Power 3 is the base 2 is the exponent 32 is the power 32 is a power of 3 Exponents Remember that 32 means that we have 3 units by 3 units AKA 3 x 3 = 9 3 3 3 x 3 = 32 =9 9 is a square number Exponents 52 = 5 x 5 = 25 5 5 Watch your negatives With rationals we have to be careful with negative numbers. With brackets (-4)2 = (-4)(-4) = +16 If there are no brackets… 6 1 6 36 2 2 With decimals 2 (0.5) = (0.5) x (0.5) = 0.25 B – Do the operations in brackets first E – Next, evaluate any exponents D M Then, divide and multiply in order from left to right A Then, add and subtract in order from left to right S Example 1 (3.4 0.6) 4 0.2 2 2.8 4 0.2 Brackets first. 2 2.8 16 0.2 2.8 3.2 0.4 Then evaluate the power Then multiply Add 3 7 5 4 8 16 Example 2 Subtract in the brackets first Use a common denominator of 8 6 7 5 8 8 16 1 5 8 16 To divide, multiply by the reciprocal of -5/16 1 16 8 5 16 8 8 40 2 5 Example 3 The formula C ( F 32) 1.8 converts temperatures in degrees Fahrenheit, F, to degrees Celsius, C. What is 28.4°F in degrees Celsius? SOLUTION Substitute F = 28.4 in the formula C C (28.4 32) 1.8 C (28.4 (32)) 1.8 C (3.6) 1.8 C 2 ( F 32) 1.8 Homework Page 140-142 3, 4, 7, 11, 12 Now with Rationals 1 1 4 2 3 2 2 A harder example 1 1 3 3 4 2 2 6 2 2