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IXL Math On IXL, math is more than just numbers. With unlimited questions, engaging item types, and real-world scenarios, IXL helps learners experience math at its most mesmerizing! Pre-K skills Represent numbers - up to 5 Inside and outside Classify shapes by color Long and short Wide and narrow See all 77 pre-K skills Kindergarten skills Fewer, more, and same Read clocks and write times Seasons Count money - pennies through dimes Shapes of everyday objects I See all 182 kindergarten skills First-grade skills Counting tens and ones - up to 99 Hundred chart Subtraction facts - numbers up to 10 Read a thermometer Measure using an inch ruler See all 210 first-grade skills Second-grade skills Counting patterns - up to 1,000 Greatest and least - word problems - up to 1,000 Compare clocks Create pictographs II Which customary unit of volume is appropriate? See all 287 second-grade skills Third-grade skills Convert between standard and expanded form Count equal groups Estimate sums Show fractions: area models Find equivalent fractions using area models See all 384 third-grade skills Fourth-grade skills Addition: fill in the missing digits Divide larger numbers by 1-digit numbers: complete the table Objects on a coordinate plane Circle graphs Place values in decimal numbers See all 340 fourth-grade skills Fifth-grade skills Least common multiple Multiply fractions by whole numbers: word problems Sale prices Find start and end times: word problems Parts of a circle See all 347 fifth-grade skills Sixth-grade skills Compare temperatures above and below zero Which is the better coupon? 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Students can select specific concepts with which they are struggling or concepts that they are trying to master. Students can even use these concept-based practice tests to identify areas in which they may not have realized they were struggling. For instance, if a student is struggling with his or her Algebra 1 course, he or she can take practice tests based on broad algebra concepts such as equations and graphing and continue to practice in more specific subcategories of these concepts. In this way, students can more clearly differentiate between those areas that they fully understand and those that could use additional practice. Better yet, each question comes with a full written explanation. This allows students to not only see what they did wrong, but provides the student with step-by-step instructions on how to solve each problem. In addition to the Math Practice Tests and Math tutoring, you may also want to consider taking some of our Math Flashcards. 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Teori Bilangan

Asal mula Teori Bilangan, sejarah teori tentang bilangan, tidak dapat ditelusuri kapan konsep tentang bilangan pertama kali digunakan. Tentunya konsep bilangan telah ada sebelum alam semesta ini ada. Sang
Pencipta alam ini, Allah, SWT. telah mererangkan dalam Al-Quran tentang penciptaan bumi dan langit selama 6 masa.
" Sungguh, Tuhanmu (adalah) Allah yang menciptakan langit dan bumi
dalam enam masa . . ."
QS. Al-Araf: 54

Dengan kata lain manusia pertamalah, Adam as. yang mengajarkan pertama kali mengenai konsep bilangan yang telah diajarkan dan diberi pengetahuan tentang apa-apa yang ada di bumi, lantas Nabi Adam, as.
pun menyebutkan satu per satu kepada para malaikat. (Allahu'alam)

" Dan Dia ajarkan kepada Adam nama-nama (benda) semuanya, kemudian Dia
perlihatkan kepada para malaikat, seraya berfirman, sebutkan kepada-Ku
nama semua (benda) ini, jika kamu yang benar!" 
QS. Al-Baqarah: 31

" Dan (Allah) berfirman, "Wahai Adam! Beri tahukanlah kepada mereka
nama-nama itu!"....
QS. Al-Baqarah : 33 

Seiring berjalannya waktu manusia berkembang menjadi populasi yang besar dan tersebar di muka bumi. Dimulailah peradaban-peradaban baru yang menggantikan peradaban yang lama hingga pada modern saat ini. Pada mulanya di zaman purbakala banyak bangsa-bangsa yang bermukim sepanjang sungai-sungai besar. Mesir sepanjang sungai Nil di Afrika, Babilonia di Sungai Tigris dan Sungai Eufrat, Hindu di sungai Indus dan Gangga, Cina di sungai Huangho dan Yang Tze. Tentunya bangsa-bangsa itu, memerlukan keterampilan untuk bercocok tanam atau mencari penghidupan misalkan bertani dengan cara membuat irigasi,mengeringkan rawa- , mengendalikan banjir, membuat petakan tanah pertanian, untuk itu diperlukan pengetahuan praktis yaitu pengetahuan teknik dan matematika bersama-sama.

Secara tradisional, teori bilangan adalah cabang dari matematika murni yang mempelajari sifat-sifat bilangan bulat dan mengandung berbagai masalah terbuka yang dapat mudah mengerti sekalipun bukan ahli

Dalam teori bilangan dasar, bilangan bulat dipelajari tanpa menggunakan teknik dari area matematika lainnya.

Contoh : 8a=8b
Dilakukan dengan cara menggunakn sifat penghapusan faktor yang sama sehingga menjadi, 


Bukan seperti ini:
(1/8).8a =(1/8).8b
juga benar tetapi menggunakan cara mengalikan di kedua ruas dengan bilangan rasional (1/8) yang bukan bilangan bulat.

Cakupan dalam Teori Bilangan misalnya, pertanyaan tentang :
¤ Sifat Dapat Dibagi (Keterbagian)
¤ Algoritma Euclides
¤ Faktorisasi Bilangan Bulat dalam Bilangan Prima
¤ Penelitian tentang Bilangan Sempurna, dan
¤ Kongruensi
Pertanyaan dasar lainnya adalah tentang :
¤ Teorema Kecil Fermat
¤ Teorema Euler
¤ Teorema Sisa Tiongkok
¤ Hukum Keresiprokalan Kuadrat
¤ Sifat dari Fungsi Multiplikatif seperti Fungsi Mobius dan Fungsi phi Euler
¤ Barisan Bilangan Bulat seperti Faktorial dan Bilangan Fibonacci.
Akan dipelajari pada Teori Bilangan.

My Referensi :
 ¤Tafsir Ilmu Pengetahuan
 ¤Sumber Internet yang tidak dicantumkan.

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