tag:blogger.com,1999:blog-26304725047155889172024-02-19T12:55:38.708-08:00[Mate(matik]a)ku]Mathematics is a skill that you must haveAnonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.comBlogger9125tag:blogger.com,1999:blog-2630472504715588917.post-62711832077858683672013-06-22T16:15:00.001-07:002013-06-22T16:15:18.471-07:00THE TEN COMMANMENTS OF MATHEMATICSThis is not written by me.. I was tagged in FB's note back in 2009.<br />
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And God said, "I am the Lord your God, who brought you out of arithmetic algebra, out of the land of Euclidean geometry:<br />
<br />
1. Thou shall not divide by zero.<br />
2. Thou shall not put other textbooks before thee in math class.<br />
3. Thou shall show thy work; check thy work and confirm that thy results are reasonable.<br />
4. Remember thy test days and prepare for them wholly.<br />
5. Thou shall honor the correct order of operations.<br />
6. Thou shall not do thy math homework in ink.<br />
7. Thou shall commit the facts of arithmetic to memory.<br />
8. Thou shall do unto one side of an equation what thou does to the other.<br />
9. Thou shall not bear false witness against thy original problems; thou shall copy thy problems accurately and legibly.<br />
10. Thou shall not covet thy neighbor's paper, not anything that is thy neighbor's."<br />
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When the people saw the derivatives and geometric constructions and heard the Linear Algebra students' torment, they trembled with fear. They stayed at a distance and said to Leibniz, "Speak to us yourself and we shall listen. But do not have the creator of Mathematics speak to us, lest the vast amount of information expand our minds so greatly such that our heads shall explode."Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0tag:blogger.com,1999:blog-2630472504715588917.post-56841920791840214412012-04-24T03:12:00.000-07:002012-04-24T03:12:06.991-07:00<span style="font-size: x-large;">Easy way to memorize multiplication</span><br />
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I introduced this method to my students, but it seem like not working! They still using their traditional method to find the answer. For example, 2 x 8 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 16. Sadly, why they don't just add number 8 twice?! 2 x 8 = 8 x 2 = 8 + 8 = 16. Simple. They can't think of it. I don't blame them (I swear!). <br />
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I think 80% of math teachers knew this method. I will just share it again.<br />
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<b>Multiplication of number 3 and 7 </b><br />
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1. Arrange the number as below:<br />
<br /> <b> 1 2 3</b><br />
<b> 4 5 6</b><br />
<b> 7 8 9</b><br />
<br />
<u>Multiplication of number 3:</u><br />
start here <br />
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<span style="background-color: yellow;"> 2</span> <b>1</b> <= 3x7 <span style="color: yellow;"> <span style="background-color: yellow; color: black;"> 1</span></span> <b>2 </b> <= 3x4 <b>3 </b><= 3x1<br />
<span style="background-color: yellow;"> 2</span> <b>4 </b> <= 3x8 <span style="background-color: yellow;"> 1</span> <b>5 </b> <= 3x5 <b>6 </b><= 3x2<br />
<span style="background-color: yellow;"> 2 </span> <b>7 </b> <= 3x9 <span style="background-color: yellow;"> 1</span> <b>8</b> <= 3x6 <b>9</b> <= 3x3<br />
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<u>Multiplication of number 7:</u><br />
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<span style="background-color: yellow;"> 2</span> <b>1</b> <= 7x3 <span style="color: yellow;"> <span style="background-color: yellow; color: black;"> 4</span></span> <b>2 </b> <=7x6 <span style="background-color: yellow;">6</span> <b>3 </b><= 7x9
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<span style="background-color: yellow;"> 1</span> <b>4 </b> <= 7x2 <span style="background-color: yellow;"> 3</span> <b>5 </b> <= 7x5 <span style="background-color: yellow;">5</span> <b>6 </b><= 7x8
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<span style="background-color: black;"> </span><b>7 </b> <= 7x1 <span style="background-color: yellow;"> 2</span> <b>8</b> <= 7x4 <span style="background-color: yellow;">4</span> <b>9</b> <= 7x7<br />
/\ <br />
start here<br />
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<b>Multiplication of number 9 (you can use your fingers too)</b><br />
<br />
Arrange number as below:<br />
<span style="background-color: yellow;">8</span> 1 <= 9x9<br />
<span style="background-color: yellow;">7</span> 2 <= 9x8<br />
<span style="background-color: yellow;"> 6</span> 3
<= 9x7<br />
<span style="background-color: yellow;">5</span> 4 <= 9x6<br />
<span style="background-color: yellow;">4</span> 5 <= 9x5<br />
<span style="background-color: yellow;">3</span> 6 <= 9x4<br />
<span style="background-color: yellow;"> 2</span> 7 <= 9x3<br />
<span style="background-color: yellow;">1</span> 8 <= 9x2<br />
9 <= 9x1<br />
/\ <br />
<br />
start here<br />
<br />
<b>To be continued..</b><br /> <br />
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<br />Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0tag:blogger.com,1999:blog-2630472504715588917.post-54965255801699451472012-03-26T03:28:00.002-07:002012-03-26T04:08:08.069-07:00Multiplication @ Pendaraban<span style="font-style: normal; ">Newest post since 2010!!</span><span ><span style="font-style: normal; font-size: 100%; "> I, as an educator able to solve any problem printed in Malaysian Mathematics textbook, but I failed to solve problem in my classroom.</span><span style="font-style: normal; font-size: 100%; "> </span></span><div style="font-style: normal; font-size: 100%; "><span ><br /></span></div><div style="font-style: normal; "><span ><span style="font-size: 100%; ">I believe that Chinese school having less problem than 'non-chinese' school. (ini sekadar keluhan seorang guru.. bukan tujuan untuk membandingkan </span><span style="font-size: 100%;">). A 13 years old student doesn't know 4 x 3...and the worst is 2 x 0 also dunno la... and if I say so, I'm ready to hear from you..'is your job to make them know'.</span></span></div><div style="font-style: normal; font-size: 100%; "><span ><br /></span></div><div style="font-style: normal; font-size: 100%; "><span >Excuse me?! I have done everything that I can. Thank God there are few of the students willing to help themselves memorize those numbers in periodic table.</span></div><div style="font-style: normal; font-size: 100%; "><br /></div><div style="font-style: normal; "><span >Why is multiplication so important? </span><span >Kenapa pendaraban sangat penting?kenapa?!!</span></div><div><span >1. Almost all the math questions involving multiplication. <i>Hampir semua soalan menggunakan operasi pendaraban.</i></span></div><div><span >2. Without memorizing or having multiplication skill, you are wasting your time by adding the numbers. <i>Kalau kamu tidak hafal atau memahami konsep pendaraban, kamu akan membuang masa untuk menambah berkali-kali nombor yang diberi.</i></span></div><div><span ><br /></span></div><div><span >Maka ...</span><span >para pelajar, tolonglah bantu diri kamu sendiri untuk sekurang2nya hafal sifir 1 hingga 5!!</span></div><div><span ><br /></span></div><div><span ><br /></span></div>Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0tag:blogger.com,1999:blog-2630472504715588917.post-76238189290258251262010-11-04T06:07:00.000-07:002010-11-04T06:31:36.402-07:00Nombor Khayal & nombor nyataSebelum cigu mulakan...cigu mo ucapkan trima kasih kepada c 'aku' (bukan nama sebenar).. cigu x tau la betul2 mo tanya ka atau ada org saja2 kasi senang hati cigu..hahaha..mari kita mulakan..<br /><br />Nombor Khayal...<br />=============<br />Nombor khayal ialah nombor yang mempunyai negatif ataupun ' - ' apabila dikuasaduakan... kita mmg tau kan xda nombor yang bila kita kuasa dua kita akan dapat ' - '..kecuali kuasa 3 (atau kuasa no ganjil)...<br /><ul><li>sebagai contoh: 2 x 2 = 4 -2 x -2 = 4</li></ul>nombor positif mahupun nombor negatif bila dikuasaduakan kita akan tetap akan dapat nilai positif..jadi...nombor apa yang bila kita kuasaduakan kta dapat nilai negatif?? teda kan....?kan?kan? (kecuali tu numbur pundan la..separuh positif separuh negatif..hehe).... na..jadi makanya..kalo x wujud nombor yang bila dkuasaduakan kita terpaksa (teda pilihan lain) "mengkhayalkan" bahawa nombor itu wujud...sebab itu nombor ini digelar sbg nombor khayal atau bahasa kadazan dy..imaginary numbers..<br /><br />nombor khayal ini diwakilkan sebagai <span style="font-style: italic;">i ..</span>dan tujuan kita mengkhayal2 ni nombor adalah untuk menjawab soalan matematik...hehe..<br /><ul><li>contoh nombor khayal <span style="font-style: italic;">i</span>^2 = -1</li></ul>kalo x paham bm..blh baca bi di link ini-->>http://en.wikipedia.org/wiki/Imaginary_number<br /><br />Nombor Nyata<br />===========<br />Nombor nyata adalah nombor yang kita gunakan di dunia yang nyata ini untuk mewakilkan kuantiti sesuatu benda..termasuklah nombor bulat, pecahan, perpulahan, negatif dan positif... cigu rasa x payahla cigu bagi contoh ni..untuk keterangan lanjut :<br />-->http://en.wikipedia.org/wiki/Real_number<br /><br /><br />Sekian...harap dapat membantu..<br />P/s..jangan selalu mengkhayal..sedarkan diri bahawa kita berada d bumi yang nyata.. yang penuh dengan kekeliruan dalam matematik..Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0tag:blogger.com,1999:blog-2630472504715588917.post-53587011449502306412010-11-01T07:00:00.000-07:002010-11-01T07:50:23.827-07:00Tak Ada Logika?? Ada bah....<span style="font-family: webdings;"><span style="color: rgb(255, 255, 0);"><span style="color: rgb(255, 0, 0);">Salam 1 Malaysia semuanya...hari ni gue pingin cerita tentang ke'logik'an matematik..terutamanya ADD MATH..mmg pelajar menghadapi masalah untuk melihat dimana ka logik tu berada..mmg kadang2 macam xda logik2 ja..tapi bila kamu bertapa tahap dewa, minda kamu akan terbuka dan mata kamu yg ketiga pun terbuka untuk melihat logika itu...(ya..udah deh..omongnya kosong aja..haha)<br /><br />Ok lah..kalo nombor x wujud di dunia ni, xda la matematik..xda la jumlah bilangan..dan yg paling penting..xda la duit..xda la lelaki yg ada 4 bini..jadi, inilah logik yang pertama kamu kena tau..that is number.<br /><br />Nombor2 ini disusun bermula dengan 0 then 1,2,3,n.....k dimana k = n+1...kira logik la kan dari xda anak dapat anak 1..pastu branak lagi..anak sudah dapat 2 orang...kalo kembar mcmmn?kalo kembar pun xda la ibu2 yg mampu kasi kuar trus anak2 kembar dy sekaligus..mesti satu2..kan?hmmm...logik ka itu?<br /><br />pastu tambah tolak kali bahagi...ini kalo kamu x nampak logiknya..mungkin kamu yg x logik ni tau.. heee..tambah maknanya kita kasi 'up' lagi... tolak maknanya kena potong.. kali makna berapa kali kamu kc up lg tu nombor..contohnya 4 x 8...jadi kamu kasi up lagi tu 4 sebanyak 8 KALI... bahagi maknanya kamu kasi jadi kumpulan2 tu nombor..<br /><br />Skrg crita pasal Add Math pula..add math ni kalo kamu paham algebraic...suma pun ok tu..sebab add math byk guna unknown..number kurang skit..kamu kena paham apa x apa y..logiknya dimana? logiknya kita dapat tgk dalam graf persamaan yang diberi..tdk kira la graf dy garis lurus ka bingkuk2 ka..yang ptg kamu nampak itu LOGIK ma..k..penat sdh ni..nant kita crita lagi...kalo ndak...crita kita ni xda lagik2 sdh...k..yang penting jangan buat benda yg menjijikkan yer adik2...daa..<br /><br /></span></span></span>Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0tag:blogger.com,1999:blog-2630472504715588917.post-84717660808519553672010-10-29T05:14:00.000-07:002010-11-01T06:51:21.440-07:00Matematik Form 2 = RatioOKey adik2 sekalian..seperti yang dijanjikan..hari ini kita akan belajar bab Ratio ataupun dalam bahasa dusun..NISBAH bah..<br /><br />Nisbah ini sebenarnya perbandingan 'berapa kali ganda' antara 2 atau lebih objek. Contoh perbandingan harga ayam di pasar malam dengan ayam d KFC. Diberi harga chicken wing d pasar malam RM1.20 d KFC RM 3.60..macammn kita wakilkan harga2 ini dalam nisbah? senang saja..bentuk dy biasanya/wajib seperti ini --->> A:B -->>di mana ':' kita sebut 'kepada' bukan "dotdot" atau "noktah bertindih".<br /><br />Jadi skrg A kita wakilkan harga d pasar malam<br /> B kita wakilkan haarga d KFC <br /><br />Makanya terjadilah 1.20:3.60...untuk mencantikkan nisbah ini atau bahasa matematiknya untuk permudahkan nisbah ini kita bahagikan dgn harga paling murah..= 1.20/1.20 : 3.60/1.20 jadi jawapannya 1:3 (disebut satu kepada tiga)..<br /><br />Apakah maksud 1:3 ini?maknanya harga di KFC adalah TIGA KALI GANDA lebih mahal dari d pasar malam...dan sebaliknya pula..harga d pasar malam adalah TIGA KALI GANDA lebih murah daripada d KFC....<br /><br />Ada paham??kalo x paham bagus kamu makan tulang KFC saja la..haha..Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0tag:blogger.com,1999:blog-2630472504715588917.post-66810884192298417472010-10-29T05:00:00.000-07:002010-10-29T05:09:40.633-07:00Google AdsenseI received an e-mail from Google Adsense saying that my application cannot be approved because of the major language I use in my blog was not in their list and was unfamilliar to them...hmm..I was thinking to change the language but my main purpose is to help students that do not understand Mathematics in English.<br /><br /><span style="font-style: italic;">Jadiii...apa crita sekarang??!!Ada sudah yang merequest minta ajar chapter RATIO. Dalam beberapa hari lagi akan diupdate yer adik2..</span>Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0tag:blogger.com,1999:blog-2630472504715588917.post-43180406126499547742010-10-27T05:16:00.000-07:002010-10-27T05:30:57.852-07:00Apabila pelajar kebuntuan..<div style="text-align: center;"><a style="font-weight: bold;" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPmDO2iTk9YajXWZrfpJKmZXNKCJ6LeUYwXrIQCap7pYzk-nN8rotqjppO5sDU7km87WY_2ZxaMNq4oHdXrbMXSOi2fgNPlXyLNX9YeOovbSYbDcZl83PnU5YdGFtvt4a4WazLOk6JHeq6/s1600/11.jpg">Gambar2 ini bukan milik tuan punya blog..dapat dari email tuan punya blog..mari kita hayati bersama2..</a><br /></div><br /><div style="text-align: center;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqkD8kvI5_sSqZXhSdcbDa3wGYLvFjp6tKwDfiakKbjxIK86qOrWZspeGJfJ_4dG-fds-IWY1DNucCVEriicNPervMIIrzxtgeduMFy365P_zuOUl0XIX99B212D5OusnWwV2hVDaxgL6y/s1600/7.jpg"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 293px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqkD8kvI5_sSqZXhSdcbDa3wGYLvFjp6tKwDfiakKbjxIK86qOrWZspeGJfJ_4dG-fds-IWY1DNucCVEriicNPervMIIrzxtgeduMFy365P_zuOUl0XIX99B212D5OusnWwV2hVDaxgL6y/s320/7.jpg" alt="" id="BLOGGER_PHOTO_ID_5532699422023537602" border="0" /></a><br /><br /></div><div style="text-align: center;">Expand = kembangkan...Pelajar ini mengembangkan kurungan persamaan yang diberi.. Ini salah yer adik2..please dont try this on your paper!<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPmDO2iTk9YajXWZrfpJKmZXNKCJ6LeUYwXrIQCap7pYzk-nN8rotqjppO5sDU7km87WY_2ZxaMNq4oHdXrbMXSOi2fgNPlXyLNX9YeOovbSYbDcZl83PnU5YdGFtvt4a4WazLOk6JHeq6/s1600/11.jpg"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 252px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPmDO2iTk9YajXWZrfpJKmZXNKCJ6LeUYwXrIQCap7pYzk-nN8rotqjppO5sDU7km87WY_2ZxaMNq4oHdXrbMXSOi2fgNPlXyLNX9YeOovbSYbDcZl83PnU5YdGFtvt4a4WazLOk6JHeq6/s320/11.jpg" alt="" id="BLOGGER_PHOTO_ID_5532699429665609106" border="0" /></a><br />Find <span style="font-style: italic;">x</span> = Cari nilai x..bukan cari dimanakah x itu berada..sekali lagi, jangan coba2 jawab soalan seperti di atas ya adik2..<br /><br /></div><div style="text-align: center;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqa6JeJCNJ51YqbPsQGGVKyS-xMfn8cXem9AdXYiboUdHkt-aFdksVM2-pOO_GSF1YwFEvSThuQavcar0xMof2H2QaHLaQStKDxQAdLRNFKMhQfmnE-ZUV4pwH3RzJBoNR1AAfldM9zM6m/s1600/7.gif"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqa6JeJCNJ51YqbPsQGGVKyS-xMfn8cXem9AdXYiboUdHkt-aFdksVM2-pOO_GSF1YwFEvSThuQavcar0xMof2H2QaHLaQStKDxQAdLRNFKMhQfmnE-ZUV4pwH3RzJBoNR1AAfldM9zM6m/s320/7.gif" alt="" id="BLOGGER_PHOTO_ID_5532699420913997122" border="0" /></a><br />Kalo pelajar saya jawab soalan limitation macam di atas ni..kena ketuk kepala!<br /><br /></div><div style="text-align: center;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK3mhDu9E7ucQhpso9jvsBje0uF3m8XEFOHfXnj3nmI5PMNmHPoZavNgyJ3Xvu61z9DEbcuYjg5IQl7G4Vh69fpz3DSZ8HbGFLTmqoUEUjNoTDRREyZCSLRH-LcAY_-EDTtX6k2itA5Gwm/s1600/4.gif"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 194px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK3mhDu9E7ucQhpso9jvsBje0uF3m8XEFOHfXnj3nmI5PMNmHPoZavNgyJ3Xvu61z9DEbcuYjg5IQl7G4Vh69fpz3DSZ8HbGFLTmqoUEUjNoTDRREyZCSLRH-LcAY_-EDTtX6k2itA5Gwm/s320/4.gif" alt="" id="BLOGGER_PHOTO_ID_5532699403933513986" border="0" /></a><br />Inilah situasi yang menunjukkan..matematik matikah aku???<br /><br /></div><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijBaMjkbh_F-U47QrZVnM1bFwqu-oEPmD1dQasF2M7HLDca-FnrmgzWEPbrUMOe4jh2zSEjdG2cmnbCBlDC5VpQmR2Qnis3iBTN0UBHxTVV2DpCwwlRrquZgydgOD-jwrTTcB69nd5Pp05/s1600/0.jpg"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 263px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijBaMjkbh_F-U47QrZVnM1bFwqu-oEPmD1dQasF2M7HLDca-FnrmgzWEPbrUMOe4jh2zSEjdG2cmnbCBlDC5VpQmR2Qnis3iBTN0UBHxTVV2DpCwwlRrquZgydgOD-jwrTTcB69nd5Pp05/s320/0.jpg" alt="" id="BLOGGER_PHOTO_ID_5532699399336679794" border="0" /></a><br /><div style="text-align: center;">Ini cara 'cancel-mengensel' yang salah..sangatx3 salah!!<br /><br /><div style="text-align: left;">Sekian.<br /></div></div>Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0tag:blogger.com,1999:blog-2630472504715588917.post-89775418842568721472010-10-25T20:29:00.000-07:002010-10-25T21:00:08.658-07:00What is [Mate(matik]a)ku????<span style="color: rgb(255, 255, 204);font-family:lucida grande;" ><span style="font-family:verdana;"><span style="color: rgb(204, 255, 255);"><span style="color: rgb(51, 0, 51);"><span style="color: rgb(255, 255, 255);">Hello there..I'm not good in writting, but I'm good in counting. So, what is exactly [Mate(matik]a)ku means?</span><br /><span style="color: rgb(255, 255, 255);">I'm a mathematics teacher and I found that most of my students are not good in math..i mean, they have difficulty in learning math. So, I decided to create a blog that may assist their understanding in math.</span><br /><br /><span style="font-style: italic; color: rgb(255, 255, 204);">Jadi...[Mate(matik]a)ku tu sebenarnya gabungan matematik mati ka aku...?? Pelajar sekarang (tidak semua pelajar) ni mengamalkan konsep "belum cuba sudah tahu"..maknanya..belum lagi mencuba sudah mengaku tidak pandai buat!!bikin panas~~ Semua orang boleh memahami konsep matematik, cuma masa yang diperlukan untuk memahami tu yang berbeza..jadi..jangan dulu kasi mati ilmu mengira kamu sebelum mencuba ya adik2 sekalian..<br /><br />Ini baru permulaan..jadi sepa2 yang terbaca atau sedang membaca blog ini boleh membuat </span><span style="color: rgb(255, 255, 204);">request</span><span style="font-style: italic; color: rgb(255, 255, 204);"> topik math mana satu kamu mo paham?</span><br /></span></span></span></span>Anonymoushttp://www.blogger.com/profile/10928371490280581196noreply@blogger.com0