Classroom lesson 路 Invented馃嚠馃嚦 India

Zero - India's gift to maths

The number that took the world a long time to invent

An ancient page from the Bakhshali manuscript showing early Indian writing and numerals

Photo 路 Wikimedia Commons

What is it?

Zero is the number that means 'nothing here'. It sounds simple, but for most of human history nobody had a symbol for zero. The first clear use of zero as a real number was written in India over a thousand years ago - and it changed maths forever.

Tell me more

Imagine trying to write the number 'one hundred and seven' without a zero. The Romans wrote it as CVII. That works, but it gets clumsy fast. CXXXVIII is much harder to read than 138. The reason 138 works so well is that 0 holds the 'tens' column empty - and you can tell a 1 in the hundreds column from a 1 in the ones column at a glance.

Indian mathematicians worked out, around 1,500 years ago, that 'nothing' deserved its own number. A scholar named Brahmagupta wrote down the rules for it: zero plus a number is that number, zero times a number is zero, and a number minus itself is zero. These rules feel obvious now, but they were brand new at the time.

Once zero existed, all kinds of new maths became possible. Negative numbers (numbers below zero, like the cold side of a thermometer) became easy. Decimals became easy. Eventually, computers became possible - the whole digital world is built on 1s and 0s.

It took hundreds of years for the idea of zero to spread. It travelled with merchants and travellers from India to the Middle East, and then to Europe. The number system we use today, 0-9, is sometimes called the Hindu-Arabic numeral system because of that journey.

In the classroom

Walk your class through this in 15 minutes.

Talk together

Discussion prompts

  1. 01Why is having a number for 'nothing' useful?
  2. 02Try writing the number 2,034 in Roman numerals (MMXXXIV). Which is easier to read - and why?
  3. 03What other tools or ideas have travelled a long way around the world before reaching us?
Try this

Classroom activity

Split the class into small groups. Give each group three big numbers (like 1,002, 580, 30,407) to write in Roman numerals. Time how long each takes. Then write them in normal digits and time it again. Discuss: what does this show about why zero is so useful?