This document provides a lesson on subtraction without and with regrouping. It includes examples of subtracting numbers with and without regrouping. Key points covered include: - Definitions of subtraction terms like minuend, subtrahend, and difference - How to set up subtraction problems in column form - How to subtract without regrouping by borrowing from the place value to the left - Examples of subtracting with and without regrouping - Practice problems for students to work through - A reflection question asking when subtraction means more in life

1. Subtraction without
and with regrouping
LESSON 4

2. Direction: Read the given problem below.
Then answer the questions that follow.
The pupils in Kristine’s class sent 18
messages tied to 18 doves. So far, they have
only received 12 replies. How many
messages were not answered? _____

3. Study the two equations. Observe that both have the same numbers, which are
6, 12, and 18. However, they used two different operations.
In the first equation, 6 + 12 = 18, we add 12 to 6. In the second equation, 18 –
12 = 6, we deducted 12 from 18. We call this process of deducting one number
from another number subtraction. It involves taking away numbers.

4. Today, you are going to
learn about subtraction
without and with
regrouping.

5. Subtraction is the inverse of addition. It means to take
away a number or a part from another number to get a
value called difference.
Parts of a subtraction sentence:
The minuend is the number from which we subtract.
The subtrahend is the number we subtract.
The difference is the answer in subtraction.

7. Addition and subtraction are opposites. They undo each
other as operations.
Here are some terms used or associated with
subtraction:

8. Subtraction Without Regrouping

9. Let's first arrange the numbers in
column form, according to place
value.

10. Now, let's subtract, starting from the Ones place. Then, go
one place to the left until you reach the Thousands place.
The
difference
is 3,207.

11. Subtraction With Regrouping

12. First, we arrange the numbers in
column form.

13. Now, let's subtract the numbers, starting from Ones
place. We do not have enough Ones in the minuend to
take away from. We can do regrouping.
We take 1 Ten from 9 Tens to form 10 Ones. Then, we
give these 10 Ones to the Ones place. Now, the Ones
place has 14 Ones.

14. Now, let's subtract the digits at the Ones
place, and then the digits at the Tens place.

15. Now, let's move to the digits at the
Hundreds place.
Again, we don't have
enough Hundreds in the
minuend. So, once again, we
will do regrouping.

16. This time, we will take 1 Thousand from 8
Thousands to form 10 Hundreds. Then, we give
these 10 Hundreds to the Hundreds place. Now, we
have 13 Hundreds in the Hundreds place.

17. Let's finish the subtraction
now!
The difference
is 2,939.

18. To find out if your answer is
correct, add the difference
and the subtrahend. If the
sum is the same as the
minuend, your answer is
correct.

21. Let’s practice!

22. 4 5 7 2
- 5 3 1
______________
3 7 2 9
-1 4 1 6
________________

23. 5 4 6 3
- 1 9 7 8
_________________
3 0 0 0
- 1 6 0 4
____________________

24. ACTIVITY TIME!!!

25. A. Book work:
Answer let’s try on
page 67

26. B. Answer the following:
a. The difference of 7912 and 5442 is _____.
b. 5463 decreased by 3449 is _____.
c. 2500 is less than 5345 is _____.
d. 6950 less 2189 is _____.
e. 4876 subtracted from 8987 is _____.
f. The minuend is 5794 and the difference
is 2876. What is the subtrahend? _____

27. Activity: Subtract the wheel.
Direction: Solve for the
following. Write your
answer inside the circle. (10
000 is the minuend)

29. Direction: Answer the following
questions.
1.Which is easier for you, addition or
subtraction? Why?
2.In life, when does subtraction
actually mean more?