Category Mathematics

What is the metric system?

               The metric system is a group of various units of measurement. Its name comes originally from the metre. It is a decimal system, which means that each unit is ten times bigger, or smaller, than the next unit. Previously, measurements were difficult to calculate; in measurements of length, for example, there were 12 inches in one foot and three feet in one yard, while weight was calculated using ounces and pounds (16 ounces in one pound).

               The metric system was devised in the 1790s in France, and is now used in most countries in the world for all scientific and technical measurements.

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Why do we need to use numbers?

               Numbers are used to describe the amount of things. We can express numbers in words, by hand gestures or in writing, using symbols or numerals. When we talk about a number we use words (‘five’) rather than the numeral (5), but when we write we use both words and numerals.

               Numbers can describe how many objects there are or their position among lots of objects, such as 1st or 5th for example. Other types of numbers describe how many units of something there are, for example how many kilograms (weight) or metres (length).Numbers are just a convenient way to describe ideas.

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Why are there only ten numbers with single figures?

               All numbers are made from ten figures. These are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. All decimal numbers are also made from the above ten figures.

               Now the question arises, why are there only ten numbers with single figure? Although it cannot be precisely explained, yet some had concluded that this is because ancient people began counting by using their ten fingers. This was easier for them to learn how to handle numbers, as they could use their ten fingers to count.

               It is an established fact that right from ancient times, people tried various systems to write numbers. They showed numbers by marking separate indications. For a number like 10 for instance, they showed 10 lines or 10 drawings of birds or animals. This system was used by Egyptians which are still to be found in ancient monuments or structures. In fact, all civilizations have had their own way of writing and using numbers. Romans invented special signs or alphabets for counting. Such signs are called numerals. For centuries, people used Roman numerals. But they are rather clumsy. They did not have zero.

               But counting became easier after invention of zero. Zero was invented in 6th century in India and was brought to Europe by Arab travellers at a later stage. Having a figure for zero, any number can be made in a simpler way. It may continue in decimal system. Fractions like or  may be written as decimal fractions like 0.50, 0.25 or 0.75. In fact there are many ways of expressing numbers. In everyday terms numbers are used with units like kg; litre or metre and so on.

               It is most interesting to note that computers use a system that use only two digits — 1 and 0. This is called binary system. They play a key role in a modern digital computer. A computer changes numbers and words into codes made up of 0s and 1s. It makes calculation with these codes.

               The earliest known written numbers were those used by Babylonians about 5000 years ago. The symbols used today in English for the ten numbers (0, 1, 2,…) are called Arabic or Hindu-Arabic numerals because they came from India through the Arab countries and reached Europe in the 12th century.

 

What is a prime number?

          Any positive integer which is greater  than one and divisible by only itself is called a prime number. For example 2,3,5,7,11,13,17,19,23,29, etc. are all prime number – numbers that cannot be split by division by any other number except 1 and the particular number itself.

          The prime numbers lie at the very roots of arithmetic and have always fascinated those dealing with figures. We can take the sequence of the above given series of prime numbers as far as we like, but we will never find a prime number divisible by another. Over the centuries, the world’s greatest mathematicians have tried to do so and always fail, although they have also been unable to prove that no such number exists.

          Every positive integer greater than one can be expressed as the product of only a single set of prime numbers. Despite the fact that prime numbers have been recognized since at least 300 B.C. when they were first studied by the Greek mathematician Euclid and Eratosthenes. Still these numbers have not yet unfolded certain mysteries relating to them.

          There is infinity of prime numbers and in theory anything may happen in infinity. But so far theorists have not been able to even find any particular rule or theory governing the gaps between prime numbers, which still remains a great mathematical mystery.

          However, the highest known prime number was discovered in 1992 by analysts at AEA Technology’s Harwell Laboratory, Oxon. The number contains 227832 digits, enough to fill over 10 fullscap pages.