1. Mental Math Everyone Take out a sheet of paper and Number your page 1-10 1. 22 +39= 2. 45 +38= 3. 56 +37= 4. 526 +48= 5. 329 +36= 6. 236 +120=

2. 7. 4.5 + 2.5= 8. 6.4 + 1.8= 9. 26.5 + 2.7= 10. 43.8 + 10.8 =

3. ORDER OF OPERATIONS LESSON 3

4. Where do I start? (10 ÷ 5) × 25 – 14=

5. RULES TO FOLLOW Rule 1: Simplify all operations inside parentheses. Rule 2: Simplify all exponents, working from left to right. Rule 3: Perform all multiplications and divisions, working from left to right. Rule 4: Perform all additions and subtractions, working from left to right.

6. BEDMAS B – Brackets B – Brackets E – Exponents E – Exponents D – Division from left to right D – Division from left to right M – Multiply from left to right M – Multiply from left to right A – Add from left to right A – Add from left to right S – Subtract from left to right S – Subtract from left to right

7. EXAMPLE 1 Evaluate this arithmetic expression Evaluate this arithmetic expression 18 + 36 ÷ 3 2 18 + 36 ÷ 3 2 SOLUTION: SOLUTION: 18 + 36 ÷ 3 2 = 18 + 36 ÷ 9 Simplify all exponents ( Rule 2)

8. EXAMPLE 1 Evaluate this arithmetic expression Evaluate this arithmetic expression 18 + 36 ÷ 3 2 18 + 36 ÷ 3 2 SOLUTION: SOLUTION: 18 + 36 ÷ 3 2 = 18 + 36 ÷ 9 Simplify all exponents ( Rule 2) 18 + 36 ÷ 9 = 18 + 4 Division ( Rule 3)

9. EXAMPLE 1 Evaluate this arithmetic expression Evaluate this arithmetic expression 18 + 36 ÷ 3 2 18 + 36 ÷ 3 2 SOLUTION: SOLUTION: 18 + 36 ÷ 3 2 = 18 + 36 ÷ 9 Simplify all exponents ( Rule 2) 18 + 36 ÷ 9 = 18 + 4 Division ( Rule 3) 18 + 4 = 22 Addition ( Rule 4)

10. EXAMPLE 2 Evaluate 5 2 x 2 4 Evaluate 5 2 x 2 4 Solution: Solution: 5 2 x 2 4 Copy Question Down

11. EXAMPLE 2 Evaluate 5 2 x 2 4 Evaluate 5 2 x 2 4 Solution: Solution: 5 2 x 2 4 Copy Question Down = 25 x 2 4 Simplify Exponent ( Rule 2 )

12. EXAMPLE 2 Evaluate 5 2 x 2 4 Evaluate 5 2 x 2 4 Solution: Solution: 5 2 x 2 4 Copy Question Down = 25 x 2 4 Simplify Exponent ( Rule 2 ) = 25 x 16 Simplify Exponent ( Rule 2 )

13. EXAMPLE 2 Evaluate 5 2 x 2 4 Evaluate 5 2 x 2 4 Solution: Solution: 5 2 x 2 4 Copy Question Down = 25 x 2 4 Simplify Exponent ( Rule 2 ) = 25 x 16 Simplify Exponent ( Rule 2 ) = 400 Multiplication ( Rule 3 )

14. EXAMPLE 3 EVALUATE 289 – (3 X 5) 2

15. EXAMPLE 3 EVALUATE 289 – (3 X 5) 2 SOLUTION: 289 – (3 x 5) 2 Copy Question Down

16. EXAMPLE 3 EVALUATE 289 – (3 X 5) 2 SOLUTION: 289 – (3 x 5) 2 Copy Question Down = 289 – (15) 2 Simplify Parentheses ( Rule 1)

17. EXAMPLE 3 EVALUATE 289 – (3 X 5) 2 SOLUTION: 289 – (3 x 5) 2 Copy Question Down = 289 – (15) 2 Simplify Parentheses ( Rule 1) = 289 - 225Simplify Exponents ( Rule 2)

18. EXAMPLE 3 EVALUATE 289 – (3 X 5) 2 SOLUTION: 289 – (3 x 5) 2 Copy Question Down = 289 – (15) 2 Simplify Parentheses ( Rule 1) = 289 - 225Simplify Exponents ( Rule 2) = 64Subtraction ( Rule 4)

19. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9

20. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question

21. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 9 Simplify Parentheses(Rule 1 )

22. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 9 Simplify Parentheses(Rule 1) = 8 + (10) x 81 ÷ 9 Simplify Exponents ( Rule 2)

23. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 9 Simplify Parentheses(Rule 1) = 8 + (10) x 81 ÷ 9 Simplify Exponents ( Rule 2) = 8 + 810 ÷ 9 Perform all Multiplications and Divisions, working from left to right ( Rule 3)

24. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 9 Simplify Parentheses(Rule 1) = 8 + (10) x 81 ÷ 9 Simplify Exponents ( Rule 2) = 8 + 810 ÷ 9 Perform all Multiplications and Divisions, working from left to right ( Rule 3) = 8 + 90

25. EXAMPLE 4 EVALUATE 8 + (2 x 5) x 3 4 ÷ 9 SOLUTION: 8 + (2 x 5) x 3 4 ÷ 9 Copy Down Question = 8 + (10) x 3 4 ÷ 9 Simplify Parentheses(Rule 1) = 8 + (10) x 81 ÷ 9 Simplify Exponents ( Rule 2) = 8 + 810 ÷ 9 Perform all Multiplications and Divisions, working from left to right ( Rule 3) = 8 + 90 = 98 Addition ( Rule 4 )

26. YOU TRY THESE 1) 3 2 x 4 3 2) 27 – 256 ÷ 4 3 3) 9 x (5 + 3) 2 – 144 4) 7 + 3 x 2 4 ÷ 6

27. 1) 3 2 x 4 3 Solution: 3 2 x 4 3 Copy Question Down = 9 x 64 Simplify Exponents (Rule 2) = 576 Multiplication ( Rule 3 )

28. 2) 27 – 256 ÷ 4 3 Solution: 27 – 256 ÷ 4 3 Copy Question Down = 27 – 256÷64 Simplify Exponents (Rule 2) = 27 – 4 Division ( Rule 3 ) = 23 Subtraction ( Rule 4 )

29. 3) 9 x (5 + 3) 2 – 144 Solution: 9 x (5 + 3) 2 – 144 Copy Question Down = 9 x (8) 2 - 144 Simplify Parentheses ( Rule 1) = 9 x 64 - 144 Simplify Exponents ( Rule 2) = 576 - 144 Multiplication ( Rule 3 ) = 432 = 432 Subtraction ( Rule 4 )

30. 4) 7 + 3 x 2 4 ÷ 6 Solution: 7 + 3 x 2 4 ÷ 6 Copy Question Down = 7 + 3 x 16 ÷ 6 Simplify Exponents ( Rule 2) = 7 + 48 ÷ 6 Perform all Multiplications and Divisions, working from left to right ( Rule 3) = 7 + 8 = 15 = 15 Addition ( Rule 4 )