Numbers & Their Operations
Types of numbers
Integers (
): ![Rendered by QuickLaTeX.com ..., -3, -2, -1, 0, 1, 2, 3, 4, ...](https://teach.sg/wp-content/ql-cache/quicklatex.com-c7a35a24d1a16924d7a836f8b076e403_l3.png)
Prime: integers that are divisible by 1 and itself only, smallest prime number is 2
Rational numbers (
)
: ![Rendered by QuickLaTeX.com \dfrac{4}{7}, -3\dfrac{1}{8}, 0.3, 2.\dot{6}\dot{5}, 92, \sqrt{16}](https://teach.sg/wp-content/ql-cache/quicklatex.com-d800ddc1c9ccb6f7f4c94cde45ef89ab_l3.png)
Irrational numbers:![Rendered by QuickLaTeX.com \pi, \sqrt{2}, e](https://teach.sg/wp-content/ql-cache/quicklatex.com-6ae5027337750dc185f6afc80e7a6280_l3.png)
Real numbers (
): all numbers
![Rendered by QuickLaTeX.com \mathbb{Z}](https://teach.sg/wp-content/ql-cache/quicklatex.com-80337bfd483f1a39f7444bd6c413ca97_l3.png)
![Rendered by QuickLaTeX.com ..., -3, -2, -1, 0, 1, 2, 3, 4, ...](https://teach.sg/wp-content/ql-cache/quicklatex.com-c7a35a24d1a16924d7a836f8b076e403_l3.png)
Prime: integers that are divisible by 1 and itself only, smallest prime number is 2
Rational numbers (
![Rendered by QuickLaTeX.com \mathbb{Q}](https://teach.sg/wp-content/ql-cache/quicklatex.com-c2d15a912e0dab6620f72e426e48c8b8_l3.png)
![Rendered by QuickLaTeX.com \dfrac{\text{integer}}{\text{integer}}](https://teach.sg/wp-content/ql-cache/quicklatex.com-264f23f92a107d6136f3877f6c7ef16e_l3.png)
![Rendered by QuickLaTeX.com \dfrac{4}{7}, -3\dfrac{1}{8}, 0.3, 2.\dot{6}\dot{5}, 92, \sqrt{16}](https://teach.sg/wp-content/ql-cache/quicklatex.com-d800ddc1c9ccb6f7f4c94cde45ef89ab_l3.png)
Irrational numbers:
![Rendered by QuickLaTeX.com \pi, \sqrt{2}, e](https://teach.sg/wp-content/ql-cache/quicklatex.com-6ae5027337750dc185f6afc80e7a6280_l3.png)
Real numbers (
![Rendered by QuickLaTeX.com \mathbb{R}](https://teach.sg/wp-content/ql-cache/quicklatex.com-245bc9fa4fce4d5d0cd20d26f5bce0aa_l3.png)
Standard form
![Rendered by QuickLaTeX.com A\times10^n](https://teach.sg/wp-content/ql-cache/quicklatex.com-ccfcbfda515ea88c611776203ebfb6fe_l3.png)
![Rendered by QuickLaTeX.com n](https://teach.sg/wp-content/ql-cache/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png)
![Rendered by QuickLaTeX.com 1\leq A<10](https://teach.sg/wp-content/ql-cache/quicklatex.com-1637401dc4295286f2afb8bb1cce4e3d_l3.png)
SI prefix
Indices
![Rendered by QuickLaTeX.com 1.\,a^m\times a^n=a^{m+n}](https://teach.sg/wp-content/ql-cache/quicklatex.com-1c22cb1782d17a7152bdfbabee29ccfe_l3.png)
![Rendered by QuickLaTeX.com 2.\,a^m\div a^n=a^{m-n}](https://teach.sg/wp-content/ql-cache/quicklatex.com-70a57d8578b67c05cc70b87d14fc12c6_l3.png)
![Rendered by QuickLaTeX.com 3.\,(a^m)^n=a^{mn}](https://teach.sg/wp-content/ql-cache/quicklatex.com-91eda4926e527ede8cfadef52bb04e6b_l3.png)
![Rendered by QuickLaTeX.com 4.\,(ab)^m=a^mb^m](https://teach.sg/wp-content/ql-cache/quicklatex.com-6ef9cc2bd08aad1299b4af34de412e3b_l3.png)
![Rendered by QuickLaTeX.com 5.\,\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}](https://teach.sg/wp-content/ql-cache/quicklatex.com-9c9845311c022d73d061eaf66248341e_l3.png)
![Rendered by QuickLaTeX.com 6.\,a^{-n}=\dfrac{1}{a^n}](https://teach.sg/wp-content/ql-cache/quicklatex.com-4ffef653177e6a0ce162810599aff5bf_l3.png)
![Rendered by QuickLaTeX.com 7.\,a^0=1](https://teach.sg/wp-content/ql-cache/quicklatex.com-854a0fb7d5eadc16c38c889ea064236e_l3.png)
![Rendered by QuickLaTeX.com 8.\,a^\frac{1}{n}=\sqrt[n]{a}](https://teach.sg/wp-content/ql-cache/quicklatex.com-4b00debdea8654a8f69f13865855a03d_l3.png)
![Rendered by QuickLaTeX.com 9.\,a^\frac{m}{n}=(\sqrt[n]{a})^m](https://teach.sg/wp-content/ql-cache/quicklatex.com-c8f92d0663a4699ae7fb3e3f954c518f_l3.png)