Click here to see more videos: https://alugha.com/FuseSchool We all know what numbers are 1, 2, 3, 4, 5, etc. including negative numbers -1, -2, -3, -4, -5, etc. But did you know that mathematicians classify numbers into different types; into a number system? Let’s start at the top with real numbers. They can be positive, negative, zero, decimals, fractions, pi. Nearly any number you can think of is a real number. Only imaginary numbers, like the square root of -1 and infinity, aren’t real, but we don’t really need to worry about them at this stage. If you can put the number on a number line, then it’s a real number. This symbol is used to represent Real Numbers. Real numbers split into two subsets: rational and irrational numbers. I just remember rational fractional sound similar. So any whole number, such as terminating decimals, recurring decimals. In fact, all numbers, except for non-repeating decimals, are rational. Decimals that do not repeat are irrational. Some well-known examples are pi,e and Square root 2. Many square roots, cube roots, etc are irrational. If the decimal places go on forever without repeating, they are irrational. Now back to rational numbers. These can be separated down further to natural numbers and integers. Integers are any positive whole numbers, negative whole numbers, zero. Whereas natural numbers are just from 0 and the positive numbers. Strangely there is no general agreement amongst mathematicians about whether to include 0 in the natural numbers or not. Sometimes 0 is included, sometimes it isn’t. If 0 isn’t considered a natural number, then a whole new category is needed, called whole numbers. Which is exactly the same as natural numbers but also includes the 0. So there we have the real number system. The number 1, for example, is a natural number, a whole number, integer, rational number, and a real number. VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org
Algebraic fractions are simply fractions with algebraic expressions either on the top, bottom or both. We treat them in the same way as we would numerical fractions. In this video we look at how to simplify algebraic fractions, and how to add and subtract them. VISIT us at www.fuseschool.org, wh
CREDITS Animation & Design: Peter van de Heuvel Narration: Lucy Billings Script: Lucy Billings The word polygon comes from Greek. Poly means “many” and Gon means “angles”. Polygon = many angles. Polygons are 2-dimensional shapes, that are made of straight lines, with all the sides joined up. VISIT
In algebra we have lots of different names for different things: expressions, equations, formulae and identities are all slightly different versions of similar things. Then within these, we have variables, constants, coefficients and exponents to describe the different parts. We also need to know wh
