CTS 081

Beauty of Math!

2009-02-17T06:41:00.000-08:00

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

Brilliant, isn't it?

And look at this symmetry:

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321

Now, take a look at this...

101%

From a strictly mathematical viewpoint:

What Equals 100%?
What does it mean to give MORE than 100%?

Ever wonder about those people who say they are giving more than 100%?

We have all been in situations where someone wants you to
GIVE OVER 100%.

How about ACHIEVING 101%?

What equals 100% in life?

Here's a little mathematical formula that might help
answer these questions:

If:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Is represented as:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26.

If:

H-A-R-D-W-O-R- K

8+1+18+4+23+15+18+11 = 98%

And:

K-N-O-W-L-E-D-G-E

11+14+15+23+12+5+4+7+5 = 96%

But:

A-T-T-I-T-U-D-E

1+20+20+9+20+21+4+5 = 100%

THEN, look how far the love of God will take you:

L-O-V-E-O-F-G-O-D

12+15+22+5+15+6+7+15+4 = 101%

Therefore, one can conclude with mathematical certainty that:

While Hard Work and Knowledge will get you close, and Attitude will
get you there, It's the Love of God that will put you over the top!

Examination Result

2008-12-01T00:13:00.000-08:00

From itd site, they said,

"Result for Undergraduate students Semester 1, 2008/2009 will be available on Dec 1st, 2008 ( after 4.00 p.m )
Result for Postgraduate students Semester 1, 2008/2009 will be available on Dec 1st, 2008 ( after 4.00 p.m ) "

That is what they said.

You can check you result at the official website

http://itdportal.iium.edu.my/student/Resultslip.html

Or, in case of traffic jame, Husz, with a lot of poyo had voluntered himself to build a duplicate site,

http://drhusz.50webs.com/

...................................................

Some problem may occur due to complication with download manager like IDM or etc.

Thank You. yea..yea... You Are Welcome.

IIUM Kuantan on Google Earth

2008-11-11T07:57:00.000-08:00

(^_^)burrpppp...

Cute is also a calculation.

2008-11-04T06:54:00.000-08:00

Attraction purpose only.

Nothing to do with math.

When people dont understand one single sign...

2008-11-04T03:57:00.001-08:00

Are You Smarter Than A Fifth Grade : Multiplication

2008-11-04T03:46:00.003-08:00

1. Multiplying by 9, or 99, or 999

Multiplying by 9 is really multiplying by 10-1.

So, 9×9 is just 9x(10-1) which is 9×10-9 which is 90-9 or 81.

Let’s try a harder example: 46×9 = 46×10-46 = 460-46 = 414.

One more example: 68×9 = 680-68 = 612.

To multiply by 99, you multiply by 100-1.

So, 46×99 = 46x(100-1) = 4600-46 = 4554.

Multiplying by 999 is similar to multiplying by 9 and by 99.

38×999 = 38x(1000-1) = 38000-38 = 37962.

2. Multiplying by 11

To multiply a number by 11 you add pairs of numbers next to each other, except for the numbers on the edges.

Let me illustrate:

To multiply 436 by 11 go from right to left.

First write down the 6 then add 6 to its neighbor on the left, 3, to get 9.

Write down 9 to the left of 6.

Then add 4 to 3 to get 7. Write down 7.

Then, write down the leftmost digit, 4.

So, 436×11 = is 4796.

Let’s do another example: 3254×11.

The answer comes from these sums and edge numbers: (3)(3+2)(2+5)(5+4)(4) = 35794.

One more example, this one involving carrying: 4657×11.

Write down the sums and edge numbers: (4)(4+6)(6+5)(5+7)(7).

Going from right to left we write down 7.

Then we notice that 5+7=12.

So we write down 2 and carry the 1.

6+5 = 11, plus the 1 we carried = 12.

So, we write down the 2 and carry the 1.

4+6 = 10, plus the 1 we carried = 11.

So, we write down the 1 and carry the 1.

To the leftmost digit, 4, we add the 1 we carried.

So, 4657×11 = 51227 .

3. Multiplying by 5, 25, or 125

Multiplying by 5 is just multiplying by 10 and then dividing by 2. Note: To multiply by 10 just add a 0 to the end of the number.

12×5 = (12×10)/2 = 120/2 = 60.

Another example: 64×5 = 640/2 = 320.

And, 4286×5 = 42860/2 = 21430.

To multiply by 25 you multiply by 100 (just add two 0’s to the end of the number) then divide by 4, since 100 = 25×4. Note: to divide by 4 your can just divide by 2 twice, since 2×2 = 4.

64×25 = 6400/4 = 3200/2 = 1600.

58×25 = 5800/4 = 2900/2 = 1450.

To multiply by 125, you multipy by 1000 then divide by 8 since 8×125 = 1000. Notice that 8 = 2×2x2. So, to divide by 1000 add three 0’s to the number and divide by 2 three times.

32×125 = 32000/8 = 16000/4 = 8000/2 = 4000.

48×125 = 48000/8 = 24000/4 = 12000/2 = 6000.

4. Multiplying together two numbers that differ by a small even number

This trick only works if you’ve memorized or can quickly calculate the squares of numbers. If you’re able to memorize some squares and use the tricks described later for some kinds of numbers you’ll be able to quickly multiply together many pairs of numbers that differ by 2, or 4, or 6.

Let’s say you want to calculate 12×14.

When two numbers differ by two their product is always the square of the number in between them minus 1.

12×14 = (13×13)-1 = 168.

16×18 = (17×17)-1 = 288.

99×101 = (100×100)-1 = 10000-1 = 9999

If two numbers differ by 4 then their product is the square of the number in the middle (the average of the two numbers) minus 4.

11×15 = (13×13)-4 = 169-4 = 165.

13×17 = (15×15)-4 = 225-4 = 221.

If the two numbers differ by 6 then their product is the square of their average minus 9.

12×18 = (15×15)-9 = 216.

17×23 = (20×20)-9 = 391.

5. Squaring 2-digit numbers that end in 5

If a number ends in 5 then its square always ends in 25. To get the rest of the product take the left digit and multiply it by one more than itself.

35×35 ends in 25. We get the rest of the product by multiplying 3 by one more than 3. So, 3×4 = 12 and that’s the rest of the product. Thus, 35×35 = 1225.

To calculate 65×65, notice that 6×7 = 42 and write down 4225 as the answer.

85×85: Calculate 8×9 = 72 and write down 7225.

6. Multiplying together 2-digit numbers where the first digits are the same and the last digits sum to 10

Let’s say you want to multiply 42 by 48. You notice that the first digit is 4 in both cases. You also notice that the other digits, 2 and 8, sum to 10. You can then use this trick: multiply the first digit by one more than itself to get the first part of the answer and multiply the last digits together to get the second (right) part of the answer.

An illustration is in order:

To calculate 42×48: Multiply 4 by 4+1. So, 4×5 = 20. Write down 20.

Multiply together the last digits: 2×8 = 16. Write down 16.

The product of 42 and 48 is thus 2016.

Notice that for this particular example you could also have noticed that 42 and 48 differ by 6 and have applied technique number 4.

Another example: 64×66. 6×7 = 42. 4×6 = 24. The product is 4224.

A final example: 86×84. 8×9 = 72. 6×4 = 24. The product is 7224

7. Squaring other 2-digit numbers

Let’s say you want to square 58. Square each digit and write a partial answer. 5×5 = 25. 8×8 = 64. Write down 2564 to start. Then, multiply the two digits of the number you’re squaring together, 5×8=40.

Double this product: 40×2=80, then add a 0 to it, getting 800.

Add 800 to 2564 to get 3364.

This is pretty complicated so let’s do more examples.

32×32. The first part of the answer comes from squaring 3 and 2.

3×3=9. 2×2 = 4. Write down 0904. Notice the extra zeros. It’s important that every square in the partial product have two digits.

Multiply the digits, 2 and 3, together and double the whole thing. 2×3x2 = 12.

Add a zero to get 120. Add 120 to the partial product, 0904, and we get 1024.

56×56. The partial product comes from 5×5 and 6×6. Write down 2536.

5×6x2 = 60. Add a zero to get 600.

56×56 = 2536+600 = 3136.

One more example: 67×67. Write down 3649 as the partial product.

6×7x2 = 42×2 = 84. Add a zero to get 840.

67×67=3649+840 = 4489.

8. Multiplying by doubling and halving

There are cases when you’re multiplying two numbers together and one of the numbers is even. In this case you can divide that number by two and multiply the other number by 2. You can do this over and over until you get to multiplication this is easy for you to do.

Let’s say you want to multiply 14 by 16. You can do this:

14×16 = 28×8 = 56×4 = 112×2 = 224.

Another example: 12×15 = 6×30 = 6×3 with a 0 at the end so it’s 180.

48×17 = 24×34 = 12×68 = 6×136 = 3×272 = 816. (Being able to calculate that 3×27 = 81 in your head is very helpful for this problem.)

9. Multiplying by a power of 2

To multiply a number by 2, 4, 8, 16, 32, or some other power of 2 just keep doubling the product as many times as necessary. If you want to multiply by 16 then double the number 4 times since 16 = 2×2x2×2.

15×16: 15×2 = 30. 30×2 = 60. 60×2 = 120. 120×2 = 240.
23×8: 23×2 = 46. 46×2 = 92. 92×2 = 184.
54×8: 54×2 = 108. 108×2 = 216. 216×2 = 432.

Practice these tricks and you’ll get good at solving many different kinds of arithmetic problems in your head, or at least quickly on paper. Half the fun is identifying which trick to use. Sometimes more than one trick will apply and you’ll get to choose which one is easiest for a particular problem.

Multiplication can be a great sport! Enjoy.

Simplicity...

2008-11-04T03:25:00.000-08:00

Dear friends, dont you ever thought about simplicity?
Come on guys...

exam! exam! exam!

2008-10-26T08:14:00.000-07:00

Wish all the best and good luck to all CTS 081 students for your final examination. May Allah bless us and give His guidance to us. InsyaAllah.

Malam Tautan Kasih Di Aidilfitri

2008-10-24T01:11:00.000-07:00

solat hajat & bacaan yassin

2008-10-21T08:29:00.000-07:00

CTS will organize Solat Hajat & Bacaan Yassin for all CTS students due to final exam. All CTS 081 students are invited.

Time: 6.30pm - 9.00pm(Maghrib - Isyak)
Date: 23 October 2008
Venue: IIUM Mosque(KOM)

jamuan raya cts 2008

2008-10-21T08:27:00.000-07:00

All CTS students are invited to Jamuan Raya CTS 2008.

Time:Lunch Hour
Venue:Office CTS
Fee:RM 4.00

Please pay to Kak Anum

Tautan kasih di aidilfitri

2008-10-16T09:42:00.000-07:00

All CTS 081, you are Cordially Invite to "Tautan Kasih Di Aidilfitri".

Date : 20 October 2008
Venue : Court Yard KOS
Time : 7.50pm - 10.30pm

Selamat Hari Raya

2008-09-27T22:53:00.000-07:00

UNGS 2030K

2008-09-23T09:13:00.000-07:00

ATTENTION! UNGS lecture on 25 Sept. 2008 will be postponed. Replacement will be held on 9 October 2008, Thursday at 5.30pm - 7.00pm. Thank you.

I CAN READ IT! CAN YOU? ----Ada sesiapa yg boleh baca ni?

2008-09-18T07:36:00.000-07:00

(Mgnieukt kjiaan Cmabrigde Uinervtisy sseaipa upn bleoh mmbcanaya waalu hruufyna brterbaur kraena oatk ktia tiadk mngjea hruuf stau-prestau tpai mmebcaa preaktaan sceara mnyeulruh asalakn hruuf peratma jgua ynag trakehir bareda diteamptyna) :-
fi yuo cna raed tihs, yuo hvae a sgtrane mnid too.
Cna yuo raed tihs? Olny 55 plepoe can.
i cdnuolt blveiee taht I cluod aulaclty uesdnatnrd waht I was rdanieg. The phaonmneal pweor of the hmuan mnid, aoccdrnig to a rscheearch at Cmabrigde Uinervtisy, it dseno't mtaetr in waht oerdr the ltteres in a wrod are, the olny iproamtnt tihng is taht the frsit and lsat ltteer be in the rghit pclae. The rset can be a taotl mses and you can sitll raed it whotuit a pboerlm. Tihs is bcuseae the huamn mnid deos not raed ervey lteter by istlef, but the wrod as a wlohe. Azanmig huh? yaeh and I awlyas tghuhot slpeling was ipmorantt! if you can raed tihs forwrad it.

ramadhan kembali

2008-09-02T14:35:00.001-07:00

Selamat Menyambut Ramadhan al-Mubarak kepada semua, semoga bulan ini menjadi bulan untuk kita berpesta ibadah dan diampunkan segala dosa serta diterima amalan.

ANDAI INI YANG TERAKHIR

2008-09-02T14:28:00.000-07:00

andai kau tahu ini Ramadhan terakhir
tentu siangnya engkau sibuk berzikir
tentu engkau tak akan jemu melagukan syair rindu
mendayu..merayu. ..kepada- NYA Tuhan yang satu
andai kau tahu ini Ramadhan terakhir
tentu sholatmu kau kerjakan di awal waktu
sholat yang dikerjakan.. .sungguh khusyuk lagi tawadhu'
tubuh dan qalbu...bersatu memperhamba diri
menghadap Rabbul Jalil... menangisi kecurangan janji
"innasolati wanusuki wamahyaya wamamati lillahirabbil 'alamin"
[sesungguhnya solatku, ibadahku, hidupku, dan matiku...
kuserahkan hanya kepada Allah Tuhan seru sekalian alam]

[baca seterusnya]

Name List For CTS Grouping

2008-08-19T23:00:00.000-07:00

Easily find your matric number by pressing CTRL+F on your keyboard.

GROUP A		GROUP B

No.	Matric No.	No.	Matric No.
1	0819271	1	0813459
2	0813919	2	0816893
3	0816581	3	0813561
4	0815769	4	0815115
5	0816531	5	0818857
6	0814415	6	0819963
7	0817215	7	0814707
8	0813025	8	0812505
9	0818077	9	0812345
10	0818979	10	0812879
11	0814050	11	0814431
12	0818476	12	0810768
13	0812508	13	0817170
14	0817886	14	0814426
15	0810010	15	0816296
16	0817110	16	0814994
17	0819764	17	0813164
18	0818772	18	0811089
19	0819664	19	0816830
20	0815518	20	0817962
21	0817204	21	0814166
22	0819970	22	0817754
23	0813952	23	0816216
24	0816448	24	0810040
25	0819320	25	0814396
26	0815912	26	0817076
27	0817128	27	0812326
28	0812064	28	0816380
29	0818924	29	0811072
30	0819842	30	0814658
31	0810280	31	0816894
32	0811500	32	0813778
33	0813070	33	0812798
34	0812028	34	0816532
35	0810724	35	0819176
36	0819082	36	0813810
37	0816006	37	0818272
38	0814486	38	0812534
39	0814644	39	0814014
40	0812312	40	0813796
41	0818422	41	0814328
42	0816284	42	0816084
43	0811176	43	0810336
44	0812426	44	0811492
45	0815352	45	0810254
46	0819732	46	0817814
47	0812168	47	0811964
48	0818066	48	0810854
49	0817826	49	0814268
50	0812546	50	0814800
51	0817834	51	0817012
52	0813910	52	0812896
53	0815484	53	0813080
54	0811676	54	0815378
55	0816614	55	0810882
56	0813048	56	0810422
57	0818742	57	0813644
58	0725904	58	0811320
		59	0818281