From Zero to Infinity and Beyond: Cool Maths Stuff You Need by Mike Goldsmith

By Mike Goldsmith

With this ebook, youngsters can unencumber the mysteries of maths and detect the sweetness of numbers. Readers will observe really good info, equivalent to why 0 is so necessary; what a googol particularly is; why track, maths and area are hooked up; why bees desire hexagons; tips to inform the time on different planets; and masses even more. From marvellous measurements and startling shapes, to awesome theories and numbers in nature - maths hasn't ever been as outstanding as this!

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Number Shapes You’ve probably already heard of ‘square’ numbers. These are any numbers that can be made by multiplying an integer by itself, such as 4, which is 2 x 2, or 9, which is 3 x 3. Did you know that there are also ‘triangular’ numbers, though? These are numbers in the series 1, 3, 6, 10 and so on (see here). Irrational Numbers Numbers are ‘rational’ if they can be obtained by dividing one integer by another, so , 8, 4 can be written as 1 ÷ 2, 64 ÷ 8, 14 ÷ 3 respectively, so they are all rational.

He was fascinated by triangular numbers, such as 3, 6 and 10, which can be arranged in a triangular pattern, like this: Pythagoras’s Theorem Pythagoras is best known in relation to a theorem about triangles. It is a theorem that only applies to right-angled triangles, which have one horizontal line and one vertical line. The theorem says that if you square the lengths of the two short sides and add them together, the result is the square of the length of the longest side – the hypotenuse. Here, the sides of the triangle are 3, 4 and 5 centimetres long.

If you were to draw a line down the middle of your body, from the top of your head to your feet, the two halves would be very similar. The line you drew down yourself is called an ‘axis of symmetry’. How Many Axes? Many regular shapes have several axes of symmetry. This square, for instance, has four axes of symmetry. Can you work out how many axes of symmetry a circle has? The answer is below. Mirror, Mirror Take a mirror and hold it at a 90 º angle against a photo of your face along the length of the middle, so that the left-hand side of your face is reflected in the mirror.

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