๐Ÿ”ข Math

The story of numbers

An old bone carved with tally marks in groups of five, and pebbles for counting

๐Ÿ“– In short

Thousands of years ago people had no written numbers. A shepherd counted his sheep with pebbles or with lines scratched on a bone or a stick. Then peoples invented symbols for numbers, until we arrived at the ten digits we use today to write any number we like.

๐Ÿคฉ Did you know?

  • The carved Ishango bone is more than 20,000 years old.
  • With just ten digits we can write any number, however big.
  • The Babylonians counted in sixties, which is why an hour still has 60 minutes and a minute 60 seconds.
  • The word โ€œcalculateโ€ comes from the Latin calculus, meaning โ€œsmall pebbleโ€: pebbles were the first counting tool.

๐Ÿ”Ž Find out more

๐ŸŒŸ Counting with fingers and pebbles

The first calculator in history was our fingers! And because we have ten fingers, people began grouping things in tens. A shepherd put down a pebble for each sheep that went out, then picked one up for each sheep that came back, so he knew if any were lost.

๐Ÿ” Carved bones

Scientists have found very old bones with lines carved in rows, like the Ishango bone in Africa. They think its owner used it to count days or things, so it's one of the oldest signs of counting by humans.

๐Ÿ’ก Symbols of ancient peoples

The people of Mesopotamia wrote numbers as marks on clay tablets, and the ancient Egyptians used symbols: a stick for one, a horseshoe shape for ten and a coiled rope for a hundred. Writing was long: to write 99 they drew 18 symbols!

๐ŸŽฏ The ten digits

In India a wonderful idea appeared: just ten symbols, from 0 to 9, with a digit's value changing according to its place. Muslim scholars took up this method and developed it, and from them it passed to Europe and then the whole world.

๐Ÿงฎ Worked examples

  1. ||||| ||| = 8We draw a line for each thing and group the lines in fives so we can count them quickly: 5 + 3 = 8.
  2. 10 + 10 + 10 + 4 = 34Like the ancient Egyptians: three horseshoes (three tens) and four sticks (four ones).

๐Ÿ“š Key words

Number
How many things there are, like five pencils
Digit
The symbol we write a number with, like 5 or ูฅ
Counting
Saying the numbers in order to find out how many things we have

๐Ÿงช Try it at home

Gather a handful of pebbles or dried beans and use them to count your family or your books: put down one bean for each thing, then arrange the beans in groups of ten. How many groups did you make? And how many beans are left over?

๐Ÿงฉ Test yourself

1 What did shepherds long ago use to count their sheep?

2 How many digits do we need to write every number?

3 Why do we count in tens?

๐Ÿ“š Read next

๐ŸŽฎ Try it yourself