Monthly Archives: July 2014

MSC 6 – Dividing by 2

Dividing a number by 2 is also called halving.

Dividing a number by 2 can be simplified by splitting the number into smaller, more manageable parts. It can be done in a step by step fashion to make the procedure easier.

Half of 8 is 4.
Half of 40 is 20.
Half of 10 is 5.
Half of 30 is 15.
Half of 900 is 450.

Example 6.1 46÷2

= half of 40 + half of 6= 20 + 3

= 23

Example 6.2: 58 ÷2

= half of 50 + half of 8= 25 + 4

= 29

Example 6.3: 908 ÷2

= half of 900 + half of 8= 450 + 4

= 454

Longer numbers can be split.

Example 6.4 5046 ÷2

= 50|46 ÷2= 25|23

Some prefer to solve Ex. 6.2 as follows:

Example 6.5: 58 ÷2

= half of 40 + half of 18= 20 + 9

= 29

The preceeding example leads to another procedure of dividing by 2, which can be developed further into a single-line division technique.

Example 6.6: 3, 742 ÷2 =

Step 1) 3 divided by 2 is 1 remainder 1.

Step 2) The remainder becomes the first digit of the next dividend 17, which when divided by 2 will give 8 and a remainder of 1.

Step 3) The next dividend will then be 14 (first digit is the remainder of 1 from the previous operation) which evenly divides to give 7.

Step 4) The last digit of the dividend is 2 which gives 1 when halved.

The final answer is 1871.

Example 6.7: 5789 ÷2 =

5₁7 8 9 ÷ 2 = 2 5 divided by 2 is 2 remainder 1

5₁7₁8 9 ÷ 2 = 28 17 divided by 2 is 8 remainder 1

5₁7₁8 9 ÷ 2 = 289 18 divided by 2 is 9, no remainder

5₁7₁8 9.₁0 ÷ 2 = 2894 9 divided by 2 is 4 remainder 1

5₁7₁8 9.₁0 ÷ 2 = 2894.5 10 divided by 2 is 5 no remainder.

Exercise 6: Halve the following numbers

1) 468

2) 1,264

3) 3,456

4) 2,752

5) 2,526

6) 7,338

7) 5,372

8) 6,784

9) 8,357

10) 101,303

Answers to all exercises are found in the answer key.

Discover the 25 Math Short Cuts ( 25 MSC )!

Issue 5 – Blast from the Past! The Search is On and Multiplying by 2

July 17, 2014 Issue 5.

Reliving the MSC Experience! (and Multiplying by 2 )

The Search for MSC Outstanding Alumni Is On!

MSC launches the Search for MSC Outstanding Alumni!

In celebration of the MSC 25th Foundation Day and 25 years of commitment to technological education, emphasizing Math, Science and Computing, VYP MSC Institute of Technology wishes to honor outstanding former students who have succeeded in their fields of endeavor.

In this issue

To ensure you receive our newsletter in your inbox, please add newsletter@msc.edu.ph to your email address book or safe sender list. Just click here to subscribe, or just send an email with “Subscribe” on the subject line to newsletter@msc.edu.ph .

The Search for the Outstanding MSC Alumni is On!

In celebration of MSC @ 25 years of commitment to technological education, MSC wishes to honor outstanding former students who have succeeded in their fields of endeavor.

Send Us Your Pictures! Relive the MSC Experience!

Send your MSC pictures to msc25years@msc.edu.ph.

MSC alumni, parent, staff members and faculty(present and previous) are encouraged to send pictures with short description (what the picture is about, approximate date, etc). Selected entries will be featured in our Facebook page and website, for unlimited sharing with family and friends!

Include the hashtag #MSC25Years in your blogs, Tweets and Facebook posts!

Blast from the Past!

In response to the the call to relive the MSC experience via Facebook, Eusebia Chrissevi M. Marasigan sent pictures including photos from the MSC 10th Foundation Day Celebration, recognition day, class pictures and the Junior Senior Prom!

MSC #49 in in Top 100 Colleges and Universities in the Philippines

VYP MSC Institute of Technology is among the 277 colleges and universities in the Philippines included in the World Ranking Web of Universities, according to the Cybermetrics Lab, a research group belonging to the Consejo Superior de Investigaciones Científicas (CSIC), the largest public research body in Spain.

MSC ranked #49 overall, and #21 in terms of web presence in the Philippine Top 100 Colleges and Universities on the Web.

MSC is number 49 in Philippine Top 100 Colleges and Universities

MSC is number 49 in the Philippine Top 100 Colleges and Universities according to Cybermetrics Lab of Spain.

MSC 5 – Multiplying by 2

Next easiest technique after Multiplication by 11, is multiplication by 2. Multiplying a number by 2 is also called doubling. Doubling may be done by adding a number to itself but it is easier to apply the “times two” table that we have learned by heart.

Let us call 0, 1, 2, 3 and 4 “small digits” and 5, 6, 7, 8 and 9 “ big digits”. I am sure that there will be no problem in doubling the small digits into 0, 2, 4, 6 and 8 respectively.

MSC 5 – Multiplying by 2

Next easiest after multiplication by 11, is multiplication by 2. Multiplying a number by 2 is also called doubling. Doubling may be done by adding a number to itself but it is easier to apply the “times two” table that we have learned by heart.

Let us call 0, 1, 2, 3 and 4 “small digits” and 5, 6, 7, 8 and 9 “ big digits”. I am sure that there will be no problem in doubling the small digits into 0, 2, 4, 6 and 8 respectively.

Note that if we subtract 5 from a big digit, we will get a small digit. i.e.

big digit 5 minus 5 = small digit 0.
big digit 6 minus 5 = small digit 1.
big digit 7 minus 5 = small digit 2.
big digit 8 minus 5 = small digit 3.
big digit 9 minus 5 = small digit 4.

With small digits, doubling is very easy: From the left, we simply double each digit and write the answer below it.

Example 5.1:


             2 4 3 1
             x     2
             4 8 6 2

With big digits, we modify our procedure: Double each digit starting from the left, but before we write our answer, look at the next digit to the right, if it is “big” add 1 to it. Deduct 5 from the next digit,before doubling it.

Example 5.2:


   4  8
   x  2
   9


   4  8
   x  2
   9  6

Doubling 4 gives 8 it before putting it down, we note that the next digit to be doubled is 8 which is big, so we add 1 first to make it 9. We then deduct 5 from 8 to make it 3 before doubling to get 6.

An important skill that can be developed by first practicing on doubling is distributed multiplication.

Example 5.3:


   4  8
   x  2


   4  0     +
   x  2
   8  0     +


   8
x  2
1  6  =  9  6


   4  8
   x  2


   4  5     +
   x  2
   9  0     +


   3
x  2
   6  =  9  6

Longer numbers can be split.

Example 5.4:


   3  8  4  6
  x         2


   3  8  |  4  6     
  x   2  | x   2
   7  6  |  9  2


   3  8  4  6     
  x         2
   7  6  9  2

Exercise 5.1: Double the following numbers

2,3 4 3
2,5 3 5
4,5 2 7
3,5 5 2
5,5 5 5
8,4 7 7
6,3 8 6
3,0 9 9
3,9 0 9
7,8 9 6

To multiply by 4, we can double two times.

Example 5.5: 237 x 4=

237 x 2 = 474
474 x 2 = 948

To multiply by 8, we can double three times.

Example 5.6: 632 x 8 =

632 x 2 = 1,264
1,264 x 2 = 2,528
2,528 x 2 = 5,056

Exercise 5.2: Find the following products:

142 x 4 =
357 x 4 =
568 x 4 =
742 x 4 =
2468 x 4 =
214 x 8 =
455 x 8 =
773 x 8 =
894 x 8 =
3152 x 8 =

Answers to all exercises are found in the answer key.

Discover the 25 Math Short Cuts ( 25 MSC )!

MSC in Top 100 Colleges and Universities in the Philippines on the Web

VYP MSC Institute of Technology is among the 277 colleges and universities in the Philippines included in the World Ranking Web of Universities, according to the Cybermetrics Lab, a research group belonging to the Consejo Superior de Investigaciones Científicas (CSIC), the largest public research body in Spain.

(READ Local Pulse : 2014 Top 100 Colleges and Universities in the Philippines on the Web )

MSC is ranked 49th in the Philippines, and 11,304 in global rank in this prestigious list. In overall ranking, MSC is just below De La Salle College of St. Benilde, Mariano Marcos State University, and De La Salle Lipa. It is just above Adamson University, University of St. La Salle Bacolod, St. Mary’s University of Bayombong and Batangas State University.

MSC is number 49 in the Philippine Top 100 Colleges and Universities according to Cybermetrics Lab of Spain.

MSC ranks even higher at 21st spot in terms of Web Presence with a global presence rank of 4,848, a few notches below Ateneo de Davao University (rank 15, global presence rank 4,464), and ahead of Far Eastern University (rank 22, global presence rank 5,064), University of the East (rank 24, global presence rank 5,033) and UP Los Baños (rank 25, global presence rank 6,079)!

MSC is # 21 in Philippine Top Colleges in Terms of Web Presence

MSC is ranked 21st in the Philippine Top 100 Colleges and Universities in terms of web presences

MSC’s rank is driven mainly by its web presence, and the volume of informative content it has been publishing for many years. The MSC web presence is a collaborative effort by its research staff and students trained in various Internet and information technology

MSC In Wikipedia : Laguna, History, Girl Scouts, etc

MSC is the acknowledged Internet pioneer in San Pablo, setting up the first ISP(Internet Service Provider) in 1998 to bring the countryside closer to the global Internet community. The domain msc.edu.ph has been publishing quality Internet content since then, on various geographic and historical topics.

Today, MSC has at least 25,000 content pages indexed by Google, and its pages are cited as authority pages all over the Internet. This includes at least 90 pages directly referenced by Wikipedia (The Free Encyclopedia) on various topics:

Laguna and San Pablo

History

Blast from the Past! Batch 2002

In response to the call to relive the MSC experience, Eusebia Chrissevi M. Marasigan, of MSC High School batch 2002 sent this:

#MSC25Years #MSCIT

Good day!

I’m sending you photos taken during my high school days in MSC. I’m very grateful for a wonderful learning experience at MSC.

Thank you my MSC Family especially to Sir Ike and Ma’am Lerma Prudente.

God bless you all and more power!

Yours truly,

EUSEBIA CHRISSEVI M. MARASIGAN
MSC High School Alumna
Batch 2002

MSC’s 10th Anniversary Cultural Dance Presentation by 2nd Year Students, S.Y. 1999-2000 — with Ike Prudente, Yviang Marasigan and Lerma Prudente.

Recognition Day Top: S.Y. 1999-2000, 2nd Year Honor Students Bottom: S.Y. 2000-2001, 3rd Year Honor Students — with Ike Prudente, Emelyn A. Buenaseda, Lerma Prudente, Mark Lester Chico and Yviang Marasigan.

Class Picture 3 Narra 2001 and 4 Diamond 2002

Class Picture Top: S.Y. 2000-2001, 3rd Year-Narra Bottom: S.Y. 2001-2002, 4th Year-Diamond — with Lerma Prudente, Yviang Marasigan, Betsy Duma, Charlotte Mae Garcia Pascua, Mark Lester Chico and Ike Prudente.

Junior-Senior Prom S.Y. 2001-2002 Top: MSC High School Seniors, IV-Diamond Bottom: Miss Senior Candidates — with Lerma Prudente, Yviang Marasigan, Betsy Duma and Ike Prudente.

Send Us Your Pictures! Relive the MSC Experience!

Let’s celebrate 25 years of MSC by reliving your MSC experience!

Send your photos to msc25years@msc.edu.ph. Chosen entries will be featured in our Facebook page and website.

MSC’s 10th Anniversary
Cultural Dance Presentation by 2nd Year Students, S.Y. 1999-2000 — with Ike Prudente, Yviang Marasigan and Lerma Prudente. Pictures will be featured in our Facebook page

Include the hashtag #MSC25Years in your blogs, tweets and Facebook posts!

We want to hear from our dear high school, technical vocational and short courses alumni. We want to hear from our former teachers and staff too! Send us your memorable pictures. Let’s relive your MSC experience!

Send memorable MSC photos to msc25years@msc.edu.ph. with a short description for each picture. Don’t forget to include your complete name, course and batch.

Remember, chosen entries will be featured in our Facebook page and website, to share with your family and and friends!

The Search for MSC Outstanding Alumni Is On!

MSC announces the Search for MSC Outstanding Alumni!

MSC recognizes the achievements of its graduates as its contribution to their families and communities and to society as a whole; its legacy of excellence in educating the youth.

Nomination for MSC Outstanding Alumni is open to graduates of the High School Department and two/three year courses in Computer/ Internet Technology, Programming , Office Management/ Bookkeeping, Computer Drafting, Computer Technician/ Computer Hardware Servicing, Entrepreneurship, and short courses in Fundamentals of Computer Operations, Caregiving, and Finishing Course for Call Center Agents.

Deadline for nomination is on October 31.

Any MSC former student, Class, faculty, or staff may nominate one or more alumni subject to the requirements for nomination. Nomination form may be requested through msc@msc.edu.ph or at the MSC Office, San Gabriel, San Pablo City.

Stories from MSC Alumni and Parents

After our call for MSC Alumni to tell us their stories, we received numerous emails with testimonials and stories about how their MSC experience helped them in their careers:

We also received feedback from former scholars and some parents:

Tell us your stories! Be proud of your MSC days!
Leave a reply or write to newsletter@msc.edu.ph to tell us where you are now, or to tell us about your MSC memories!

On Dec. 4, 2014, we will be celebrating our 25th Foundation Day. In line with this, we have lined up many activities leading up to the Foundation Day celebration. We invite all to forward and share this newsletter 25 Math Short Cuts to friends in the MSC community to disseminate information about the event. Every week, we will also feature a very useful math technique, a bit of MSC history, and MSC today.

If you have an interesting MSC story, please share it with us by writing tonewsletter@msc.edu.ph

Issue 4 – Stories from MSC Alumni, and Multiplying by 11

July 10, 2014 Issue 4

Stories from MSC Alumni, Exploring the MSC Campus, and Multiplying by 11

Stories from MSC Alumni!

After our call last week for MSC Alumni to tell us their stories, we received numerous emails with testimonials and stories about how their MSC experience helped them in their careers:

We also received feedback from former scholars and some parents:

In this issue

Silid Booklatan: Buksan ang Isip, Buksan ang Mundo

Booklat Isip, Inc. aims to build community reading rooms – a Silid Booklatan – in every barangay in the Philippines. MSC Institute of Technology, Inc. and Kiwanis Club of Buklod-San Pablo are community partners for Silid Booklatan-San Pablo City.

MSC high school and technical-vocational students regularly devote time to keep the Silid Booklatan premises clean and its wide array of reading materials organized
Read more…

Silid Booklatan San Pablo and community partners MSC and Kiwanis Club promote reading by providing venues, reading materials, activities and support.

Dried Fish Arithmetic in Action

Once when I was with my brother Rene’s Balikbayan family in the dried fish market in Taboan, Carbon, Cebu City, we bought some “danggit” and “pusit.”

As we were concluding the transaction, Manang Vendor exclaimed: “Ang Galing Mo Sir!”

Unexpectedly, I realized that Mental Math is always useful, even when haggling with dried fish vendors!

Exploring the MSC Green Campus – It’s Moth Week!

We have busy bees exploring the MSC Green Campus. Specifically, we have a very Busy V (let us agree to use the name Veronica, to refer to this Busy V) doing the exploring, and documenting the rich flora and fauna found in the garden campus through her special blog site Busy Bees.

Moth, science and computing?

Is it a bird? Is it a plane? It is an arctiid moth (looks similar to Alona lactinea) in the MSC Campus!

Is it a bird? Is it a plane? No, it is a moth found in the MSC Green Campus!

Our Busy V reminds us that it is almost Moth week! ( yep, Moth, not Math ) with this beautiful moth picture.

Introducing MATH-Inic – Math Made Fun, Fast and Easy!

Can your child mentally calculate problems like these in less than one minute?

a. 456 + 997 =
b. 400,000 – 83,629 =
c. 73 x 77 =
d. 112 x 104 =
e. 476 x 999 =

Even a grade school student can mentally solve these after only a few hours of MATH-Inic classes!
Read more…

$What is MATH-Inic?$

MATH-Inic is a series of special Math courses that combines the best of speed arithmetic and mental math techniques to enhance math learning. It introduces fun, fast and easy ways of computing Math problems and enriches traditional Math classroom lessons through new solving techniques.

MSC 4 – Multiplying by 11

Some people consider the first three shortcuts too easy, since they involve only addition and subtraction. But one must admit, any multiplication beyond the simple multiplication table is really cool and amazing, and done with some showmanship, is in the realm of the Mathemagical.

Multiplication with a power of 10 is trivial ( just add zeroes, right? ), so let us proceed to the simplest multiplication trick – Multiplying by 11.

MSC 4 – Multiplying by 11

Multiplication with a power of 10 is trivial ( just add zeroes, right? ), so let us proceed to the simplest multiplication trick – Multiplying by 11.

To multiply any two digit number by 11, we simply split the two digits and insert their sum in between them.

Example 4.1: 3 5 x 11 = 385

Split the two digits (in this case, 3 and 5 ), leaving space for one more digit in the middle.
```
3 5  x  1 1  =  3 _ 5
```
Insert the sum of the two digits (3 + 5 = 8) between them.
```
3 5  x  1 1  =  3 8 5
```

For longer multiplicands, we follow a similar procedure of placing the sum of the adjacent digits “between” them.

Example 4.2: 34,532 x 11 = 379,852

Bring down the first digit slightly to the left:
```
  3 4 5 3 2  x  11 = 
 3
```
Add the first digit to the digit next to (3 + 4 ) it and place the sum underneath the space between them.
```
  3 4 5 3 2  x  11 = 
 3 7
```
Continue this process until the next to the last digit.
```
  3 4 5 3 2  x  11 = 
 3 7 9 8 5
```
Bring down the last digit, and we’re done!
```
  3 4 5 3 2  x  11 = 
 3 7 9 8 5 2
```

With a little practice multiplication be 11 can be performed mentally

Exercises 4.1: Perform the following multiplication:

52 x 11 =
36 x 11 =
245 x 11 =
7,261 x 11 =
435,263 x 11 =

But wait!!!! What if the sum of adjacent digits is greater than 9 and has more than one digit? Do we insert two digits?

Our procedure for multiplying by 11 will slightly vary if the sum of adjacent digits is 10 or more.

Example 4.3: 39 x 11

Separate the two digits.
```
  3   9  x  11 =
 3
```
Add the two digits. 3 + 9 = 12. But it would be wrong to insert the 12 between 3 and 9. Only one digit is allowed in the middle.
```
  3    9  x  11 =
 3 (12) 9 
```
Carry over the 1 of 12 and add it to the 3 giving a final answer of 429.
```
  3   9  x  11 =
 3+1 2 9 
```
or
```
  3 9  x  11 =
 4 2 9 
```

For longer numbers, it is best to use a symbol to indicate a “carry” operation when writing the answer.
Example: 39,567 x 11

After bringing down the first digit 3, proceed to add it to its right hand neighbor 9 to give 3+9= 12. Put any mark (such as an apostrophe ‘) next to the 3 to indicate the “carry” operation, and put 2 between 3 and 9.
```
  3  9  5  6  7  x  11 = 
 3' 2
```
Proceed to the right following the above procedure if the sum of the adjacent digits is 10 or more, until the second to the last digit
```
  3  9  5  6  7  x  11 = 
 3' 2' 4' 1' 3
```

Bring down the last digit.

  3  9  5  6  7  x  11 = 
 3' 2' 4' 1' 3  7

Rewrite the answer to take care of the carries.

  3  9  5  6  7  x  11 = 
 4  3  5  2  3  7

Again, will a little practice, even this type of multiplication can be done mentally. With a little look-ahead you can skip the carries and amaze your audience by proceeding to write the answer left to right!

Exercise 4.2

46 x 11 =
75 x 11 =
567 x 11 =
7,856 x 11 =
29,586 x 11 =

Answers to all exercises are found in the answer key.

Discover all the 25 Math Short Cuts ( 25 MSC )!

The MSC Advantage

THE Math, Science and Computing School

Monthly Archives: July 2014

MSC in Top 100 Colleges and Universities in the Philippines on the Web

MSC In Wikipedia : Laguna, History, Girl Scouts, etc

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Blast from the Past! Batch 2002

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Send Us Your Pictures! Relive the MSC Experience!

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The Search for MSC Outstanding Alumni Is On!

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Stories from MSC Alumni and Parents

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Reliving the MSC Experience! (and Multiplying by 2 )

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MSC In Wikipedia : Laguna, History, Girl Scouts, etc

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Stories from MSC Alumni, Exploring the MSC Campus, and Multiplying by 11

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