The document covers fundamental mathematical operations including addition, subtraction, multiplication, and division of multi-digit and decimal numbers, providing practice exercises for each operation. It emphasizes the importance of mastering these concepts to build a strong foundation for understanding higher-level math. Additional resources and a self-evaluation section are included to support learning.

1. Fundamental
Operations
Prepared By:
Leo Mar DG. Escorpion, LPT, MAT
Mathematics Coordinator

2. Learning Objectives
To recall:
 adding multi-digit and decimal numbers manually;
 subtracting multi-digit and decimal numbers manually;
 multiply multi-digit and decimal numbers manually;
 divide multi-digit and decimal numbers manually.

3. Essential Question
1. Why do you think it is important to learn the fundamental
operations of mathematics well?
2. Can we use it in real life? Explain.

4. Addition

5. Adding Multi-Digit Numbers
15
+ 32
219
+ 473
1,017
+ 1,873
7
4 2
1
9
6 0
1
9
8
2,

6. Practice Exercise 1
72
+ 48
364
+ 112
2,451
+ 5,666
120 476 8,117

7. Adding Decimal Numbers
What is the sum of 18.4 and 6.72?
18.40
+ 6.72
2
1
.
5
1
2
1

8. Adding Decimal Numbers
What is the sum of 55.909 and 23.3? Round
off the answers to two decimal places.
55.909
+ 23.300
9
0
.
9
1
7 2 79.21

9. Practice Exercise 2
Direction: Add the following decimals: round
off the answers to two decimal places.
1. 15.31 + 2.7 = __________
2. 92.726 + 14.1 = __________
3. 100.1634 + 99.22 = __________
18.01
106.83
199.38

10. Learning Objectives
To recall:
 adding multi-digit and decimal numbers manually;
 subtracting multi-digit and decimal numbers manually;
 multiply multi-digit and decimal numbers manually;
 divide multi-digit and decimal numbers manually.

11. Subtraction

12. Subtracting Multi-Digit Numbers
50
- 41
342
- 107
5,362
- 673
9 5
3
2 9
8
6
4,
410 3 12 5 3 5 12
5 2 15
4 12

13. Practice Exercise 3
30
- 22
549
- 329
3,210
- 1,120
8 220 2,090

14. Subtracting Decimal Numbers
What is the difference of 29.8 and 5.73?
29.80
- 5.73
7
0
.
4
2
7 10

15. Subtracting Decimal Numbers
What is the difference of 168.09 and 31.452?
Round off the answers to two decimal places.
168.090
- 31.452
8
3
.
8 10
6
7 10
6
3
1 136.64

16. Practice Exercise 4
Direction: Subtract the following decimals:
round off the answers to two decimal places.
1. 13.2 - 5.17 = __________
2. 45.321 - 22.13 = __________
3. 92.1755 - 7.14 = __________
8.03
23.19
85.04

17. Learning Objectives
To recall:
 adding multi-digit and decimal numbers manually;
 subtracting multi-digit and decimal numbers manually;
 multiply multi-digit and decimal numbers manually;
 divide multi-digit and decimal numbers manually.

18. Multiplication

19. Multiplying Multi-Digit Numbers
324
x 46
4
2
4
1
19
6
1
9
12
4
0
1
9
1
4
1 ,
128
x 14
2
3
+
1
5
128
+
2
9
7
1,
1 2023
x 123
9
6
0
6
6
4
0
4
2023
+
9
2
8
1
8
24 ,

20. Practice Exercise 5
49
x 3
212
x 17
1,002
x 101
147 3,604 101,202

21. Multiplying Decimal Numbers
What is the product of 0.72 and 0.4?
72
x 4
8
28
.
0

22. Multiplying Decimal Numbers
What is the product of 6.3 and 2.9?
63
x 29
7
2
56
6
12
7
2
1
8
1 .

23. Practice Exercise 6
Direction: Multiply the following decimals:
round off the answers to two decimal places.
1. (7.2) (0.1) = __________
2. (9.1) (3.6) = __________
3. (17.2) (0.8) = __________
0.72
32.76
13.76

24. Learning Objectives
To recall:
 adding multi-digit and decimal numbers manually;
 subtracting multi-digit and decimal numbers manually;
 multiply multi-digit and decimal numbers manually;
 divide multi-digit and decimal numbers manually.

25. Division

26. Dividing Multi-Digit Numbers
528
2
2
4
-
12
6
12
8
4
8
0
528
24
2
48
-
4 12
48
2
48
0
-
-
-

27. Practice Exercise 7
Direction: Divide the following numbers.
1. 568 ÷ 8 = __________
2. 178 ÷ 2 = __________
3. 2,842 ÷ 14 = __________
71
89
203

28. Dividing Decimal Numbers
What is the quotient of 5.76 ÷ 0.3?
57.6
3
1
3
-
27
9
27
0 6
. 2
6
0
-
-

29. Dividing Decimal Numbers
What is the quotient of 86.4 ÷ 0.12?
8640
12
84
-
2
7
4
2
24
0 0
0
0
0
-
-

30. Learning Objectives
To recall:
 adding multi-digit and decimal numbers manually;
 subtracting multi-digit and decimal numbers manually;
 multiply multi-digit and decimal numbers manually;
 divide multi-digit and decimal numbers manually.

31. Essential Understanding
If your foundation in mathematics is not mastered and
the building blocks of mathematics are not developed,
you will struggle to make necessary connections
within the content material or fully understand
higher-level mathematical concepts.

32. Student’s Self-Evaluation
 I can add multi-digit numbers manually.
 I can add decimal numbers manually.
 I can subtract multi-digit numbers manually.
 I can subtract decimal numbers manually.
 I can multiply multi-digit numbers manually.
 I can multiply decimal numbers manually.
 I can divide multi-digit numbers manually.
 I can divide decimal numbers manually.
 I can relate the fundamental operations in math to my real-life experiences.

33. Learning Resources
• https://www.youtube.com/watch?v=mAvuom42NyY
• https://www.youtube.com/watch?v=WwKLA-6S-e0
• https://www.youtube.com/watch?v=Y6M89-6106I
• https://www.youtube.com/watch?v=a8tCGNB-vOk
• https://www.youtube.com/watch?v=RVYwunbpMHA
• https://www.youtube.com/watch?v=Dm028SSei88
• https://www.youtube.com/watch?v=HdU_rf7eMTI
• https://www.youtube.com/watch?v=Val4TmjHXRY

34. Thank You 