Math 6 - Order of Operations GEMDAS.pptx

Grouping Symbol
Exponents
Multiplication
Division
Addition
Subtraction

1. Learning TargetS : a. interpret and explain the Grouping, Exponent, Multiplication, Division, Addition, Subtraction (GEMDAS) Rule; and b. perform two or more different operations on whole numbers with or without exponents and grouping symbols.

2. Tell which operations should be solved first.

3. 15 ÷ 5 x 6 DIVISION

4. 3 2 + 2 x 9 EXPONENT

5. (12 – 6) 2 SUBTRACTION

6. 12 + 4 - 8 ADDITION

7. 5 x 2 ÷ 5 MULTIPLICATION

8. means

9. means

10. p erform addition or subtraction from left to right p erform multiplication or division from left to right, and lastly, d o the operations inside the grouping symbols first, then, d o the exponents , then,

11. Solution: Apply GMDAS 2 + { 7 – [ 4 + 5 – ( 3 + 2 ) ] – 1 } Study the examples below on solving equations with series of operations. 2 + { 7 – [ 4 + 5 – ( 3 + 2 ) ] – 1 } Do the operations inside the grouping symbols. N = 4 Add and subtract from left to right 2 + { 7 – [ 4 + 5 – 5 ] – 1 } 2 + { 7 – 4 – 1 } 2 + 2

12. Solution: Apply GEMDAS 17 + ( 6 x 5 2 + 13 ) Study the examples below on solving equations with series of operations. Work first on operations inside a set of grouping symbols. N=180 Evaluate the exponents. Multiply. Finish all the operations involved inside the grouping symbols. 17 + ( 6 x 5 2 + 13 ) 17 + ( 6 x 25 + 13 ) 17 + ( 150 + 13 ) 17 + 163

13. 4 2 – 2 2 x 3 = 16 – 4 x 3 = 16 – 12 = 4

14. Performing series of operations is like doing a series of tasks. You need to make priorities and accomplish first the things which are urgent and important. What priorities do you fail to neglect at times? Why? Have you ever experienced doing a series of tasks in only one day? What did you do to finish all the tasks well?

15. Solve each problem.

16. What number will you get if you subtract the sum of 567 and 234 from their sum?

17. What number is 350 more than the quotient of 63 and 7? 359

18. Divide the sum of 35 and 21 by 7 and multiply the result by 6. What number will result? 48

19. Add the product of 3 2 and 7 to the difference of 4 3 and 60. What will the result? 67

20. What number will you get if you multiply the difference of 14 and 8 by the quotient of 40 and 5? 48