3.6 Order of Operations with Rational Numbers

1. Pgs 137-142 3.6 Order of Operations with Rational Numbers

2. What’s the answer? • 6 + 4 x 4 – 3

3. Order of Operations • Hopefully you remember this: • BEDMAS • Brackets, Exponents, Divide, Multiply, Add, Subtract

4. B – Do the operations in brackets first E – Next, evaluate any exponents D M A S Then, divide and multiply in order from left to right Then, add and subtract in order from left to right

5. Brackets • Just be aware brackets can look like any of these.

6. Exponents • This will be our next unit, so we will just review the basics • This is what you should know already: 32 Exponent 3 is the base 2 is the exponent 32 is the power 32 is a power of 3 Base Power

7. Exponents Remember that 32 means that we have 3 units by 3 units AKA 3 x 3 = 9 3 3 x 3 = 32 = 9 9 is a square number 3

8. Exponents 52 = 5 x 5 = 25 5 5

9. Watch your negatives • With rationals we have to be careful with negative numbers. • With brackets (-4)2 = (-4)(-4) = +16

10. If there are no brackets…

11. With decimals (0.5)2 = (0.5) x (0.5) = 0.25

12. B – Do the operations in brackets first E – Next, evaluate any exponents D M A S Then, divide and multiply in order from left to right Then, add and subtract in order from left to right

13. Example 1 Brackets first. Then evaluate the power Then multiply Add

14. Example 2 Subtract in the brackets first Use a common denominator of 8 To divide, multiply by the reciprocal of -5/16

15. Example 3 The formula 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

16. Homework • Page 140-142 • 3, 4, 7, 11, 12

17. Now with Rationals

18. A harder example