Euclid's Proof that the Square Root of 2 is Irrational
Euclid proved that √2 (the square root of 2) is an irrational number. He used a proof by contradiction. First Euclid assumed √2 was a rational number.| Math is Fun
A rational number is a number that can be written as a simple fraction (i.e. as a ratio). ... So a rational number looks like this| www.mathsisfun.com
Math explained in easy language, plus puzzles, games, worksheets and an illustrated dictionary. For K-12 kids, teachers and parents.| www.mathsisfun.com
A Prime Number is ... a whole number above 1 that cannot be made by multiplying other whole numbers ... The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and 23, and we| www.mathsisfun.com
Euclid proved that √2 (the square root of 2) is an irrational number. He used a proof by contradiction. First Euclid assumed √2 was a rational number.| Math is Fun
The exponent of a number says how many times to use the number in a multiplication. In 82 the 2 says to use 8 twice in a multiplication, so 82 =...| Math is Fun
This is the Number Line: If a number has no sign it usually means that it is a positive number. Example: 5 is really +5.| Math is Fun
Zero shows that there is no amount. ... Example 6 6 = 0 (the difference between six and six is zero)| www.mathsisfun.com
I want to take you on an adventure ... ... ... an adventure through the world of numbers. ... Let us start at the beginning| www.mathsisfun.com
Writing numbers on a Number Line makes it easy to tell which numbers are greater or lesser. A number on the left is less than a number on the right.| Math is Fun
The Sine Function produces a very beautiful curve, but don't take our word for it, make your own! First, read the page on Sine, Cosine and Tangent.| Math is Fun
Solving Triangles| www.mathsisfun.com
A Rational Number can be made by dividing an integer by an integer. (An integer itself has no fractional part.).| Math is Fun
Here we look at whether a square root is irrational ... A Rational Number can be written as a Ratio, or fraction.| Math is Fun
Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, ... (and so on) ... No Fractions ... (But numbers like , 1.1 and 5 are not whole numbers.)| www.mathsisfun.com
This is a very powerful Scientific Calculator You can use it like a normal calculator, or you can type formulas like (3+72)2 It has many...| Math is Fun
Imagine we want to measure the exact diagonal of a square tile. No matter how hard we try, we won't get it as a neat fraction.| Math is Fun
You can read about (Pi) first. You will need: A piece of card. A compass and pencil. A protractor. A pair of scissors.| Math is Fun
First learn about Squares, then Square Roots are easy. ... Squared is often written as a little 2 like this ... This says 4 Squared equals 16 (the little 2 says the number appears| www.mathsisfun.com
Make a 3,4,5 Triangle ... Connect three lines ... And you will have a right angle (90) ... You can use other lengths by multiplying each side by 2. Or by 10. Or any multiple.| www.mathsisfun.com
It is all about slope ... Slope = Change in Y / Change in X ... We can find an average slope between two points.| www.mathsisfun.com
Over 2000 years ago there was an amazing discovery about triangles: When a triangle has a right angle (90°) ...| Math is Fun
Our world has three dimensions, but there are only two dimensions on a plane: length and width make a plane. x and y also make a plane.| Math is Fun
A right-angled triangle (also called a right triangle)is a triangle with a right angle (90) in it. ... The right angled triangle is one of the most useful shapes in all of| www.mathsisfun.com
Unit Circle| www.mathsisfun.com
Radians| www.mathsisfun.com
Sohcahtoa| www.mathsisfun.com
Algebra| www.mathsisfun.com
Sine, Cosine and Tangent are the main functions used in Trigonometry and are based on a Right-Angled Triangle. Before getting stuck into the...| Math is Fun
Draw a circle with a diameter (all the way across the circle) of 1 ... Then the circumference (all the way around the circle) is 3.14159265... a number known as Pi| www.mathsisfun.com
Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.| www.mathsisfun.com
