M A T H E M A T I C S

4

Modified In-School Off-School Approach Modules (MISOSA)

Distance Education for Elementary Schools

SELF-INSTRUCTIONAL MATERIALS

SUBTRACTION OF WHOLE NUMBERS WITH CONTINUOUS OR

NON-CONTINUOUS ZEROS WITH REGROUPING

Department of Education

BUREAU OF ELEMENTARY EDUCATION 2nd Floor Bonifacio Building DepEd Complex, Meralco Avenue Pasig City

Revised 2010 by the Learning Resource Management and Development System (LRMDS),

DepEd - Division of Negros Occidental under the Strengthening the Implementation of Basic Education

in Selected Provinces in the Visayas (STRIVE).

This edition has been revised with permission for online distribution through the Learning Resource Management Development System (LRMDS) Portal (http://lrmds.deped.gov.ph/) under Project STRIVE for BESRA, a project supported by AusAID.

Section 9 of Presidential Decree No. 49 provides: “No copyright shall subsist in any work of the Government of the Republic of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit.” This material was originally produced by the Bureau of Elementary Education of the Department of Education, Republic of the Philippines.

1

SUBTRACTION OF WHOLE NUMBERS WITH CONTINUOUS OR NON-CONTINUOUS ZEROS WITH REGROUPING

Objective: Subtract 5- or more digit numbers from 6- or more digit number with 3 continuous or non-continuous zeros in both the minuend and subtrahend with regrouping.

Let us see how well you have retained the previous lesson. Do what is asked of you to do. Remember this is your previous lesson. A. Subtract the numbers inside the rectangles from the number inside the oval.

Check your answer with the answer key. If your score is 4 or 5, you may continue with this lesson. If you got 3 or below, review your past lessons.

1 502 362

- 758 732 - 861 289

- 934 527 - 625 195

- 593 843

Review

1)

5) 4)

3) 2)

2

Let us answer some questions about the problem. a) Who helps our poor countrymen? b) As a person, would you like to share in the fund raising campaign of

the Red Cross? Why?

Now, let's start solving the problem. 121 000 - 96 032 = N tickets given tickets sold tickets not sold

a. 121 000 - 96 032

0 10 b. 121 000

- 96 032

1 10 10

c. 121 000 - 96 032

1 10 9 10

d. 121 000 - 96 032

The Red Cross is an organization which helps the poor people. During the Red Cross Week, one of the Divisions in NCR was given 121 000 tickets to sell for Save a Life Project. The division was able to sell 96 032 tickets. How many tickets were not sold?

There are three consecutive

zeros in the minuend, so we

regroup all the places starting

from the left most digit other

than the zero.

3

1 1 0 9 9 10

e. 121 000 - 96 032

24 968

Can you now follow the steps?

Let’s try another exercise.

a. 150 087 - 78 462

4 10

b. 150 087 - 78 462

4 9 10

b. 150 087 - 78 462

Can you now follow the steps better? Try the following exercises.

Subtract 2 from 10 equals 8. Subtract 3 tens from 9 tens equalS 6 tens. Subtract 0 hundreds from 9 hundreds equals 9 hundreds. Subtract 6 thousands from 10 thousands equals 4 thousands. Then subtract 9 ten thousands from 11 ten thousands equals 2 ten thousands. The final answer then is 24 968 tickets unsold.

There are two consecutive zeros in the minuend, so we regroup at 3 places starting from thousands place.

Now you can subtract.

Now, you can subtract.

4

Find the difference.

a. 700 280 b. 7 800 000 c. 3 930 615 - 345 613 - 1 156 000 - 1 013 400

d. 2 900 603 e. 1 485 000 - 1 569 241 - 810 207 How do you find the exercises? Why?

Always remember that to subtract numbers with regrouping and with continuous zero in the minuend always regroup all the places starting from the left most digit other than zero.

Try These

Wrap Up

5

A. Follow the arrow to be able to fill in the needed data in the box. a. b.

B. Find the difference

1) 900 034 2) 867 000 3) 320 400 - 725 162 - 152 163 - 10 029

C. Fill the box with the correct numeral.

9 � 0 � 0 � 0 0

1 5 9 0 � 0 � � �2 �9 9 9 5 0

Check your answer with the answer key.

If you get 5 to 6 correct answers, you have mastered the skills in this module and

you may proceed to the next.

If you get 4 correct answers, review the processes you missed.

If you get 3 correct answers or below, repeat the whole process.

Congratulations for your desire to finish the module!

93 150 000 14 281 600 78 868 400 → =

176 105 ← = 78 692 295

72 464 576 ←

=

4 000 464 =

On Your Own