The document provides learning targets and examples for applying the order of operations, known as GEMDAS (Grouping, Exponent, Multiplication, Division, Addition, Subtraction), to solve equations with multiple mathematical operations. It gives the steps to solve equations by first performing operations inside grouping symbols, then exponents, then multiplication/division from left to right, and finally addition/subtraction from left to right. Sample problems are worked through as examples.

2. 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.

3. Tell which
operations should
be solved first.

4. 15 ÷ 5 x 6
DIVISION

5. 32 + 2 x 9
EXPONENT

6. (12 – 6)2
SUBTRACTION

7. 12 + 4 - 8
ADDITION

8. 5 x 2 ÷ 5
MULTIPLICATION

9. means

10. means

11. perform addition or subtraction from left to right
perform multiplication or division from left to right,
and lastly,
do the operations inside the grouping symbols
first, then,
do the exponents, then,

12. 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

13. Solution: Apply GEMDAS
17 + ( 6 x 52 + 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 52 + 13 )
17 + ( 6 x 25 + 13 )
17 + ( 150 + 13 )
17 + 163

14. 42 – 22 x 3
=16 – 4 x 3
=16 – 12
= 4

15. 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?

16. Solve each
problem.

17. What number will you get if
you subtract the sum of 567
and 234 from their sum?
0

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

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

20. Add the product of 32 and 7
to the difference of 43 and
60. What will the result?
67

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