Names for large numbers facts for kids
When we talk about really big numbers, like the number of stars in the sky or tiny particles in an atom, they can be hard to read and understand. But don't worry, there are easy ways to name them! We mostly use two main methods: scientific notation and naming by grouping.
Imagine a number like 500,000,000,000,000,000,000. That's a lot of zeros!
- In scientific notation, we can write it as 5 x 1020. This means you take the number 5 and multiply it by 10, twenty times. It's a neat way to show how many zeros are in a number.
- When we name it by grouping, it's called five hundred quintillion in the American system. In the European system, it's 500 trillion. We'll learn more about why these are different later!
What if a big number has other digits, not just zeros? Like 642,500,000,000.
- For scientific notation, we still count the numbers after the first digit. Here, after the 6, there are 11 digits. We put a decimal point after the first digit and include the other non-zero digits. So, 642,500,000,000 becomes 6.425 x 1011.
- When naming by grouping, this number is 642 billion, 500 million in the American system. In the European system, it's 642 milliard, 500 million.
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How We Name Big Numbers
Here are some examples to help you see how these methods work:
Number | Scientific Notation | Grouping (American) |
---|---|---|
600,000,000,000,000,000,000,000,000 | 6 x 1026 | 600 septillion |
765,476,250,000,000 | 7.6547625 x 1014 | 765 trillion, 476 billion, 250 million |
145,000 | 1.45 x 105 | 145 thousand |
Different Ways to Count: Short Form vs. Long Form
You might have noticed that the names for big numbers can be different depending on where you are. This is because of two main systems:
- The Short Form is mostly used in the U.S. and many other English-speaking countries.
- The Long Form is used in Europe and other parts of the world.
The main difference is how they define a "billion."
- In the Short Form, a billion is one thousand millions (1,000,000,000 or 109).
- In the Long Form, a billion is one million millions (1,000,000,000,000 or 1012). This means a "billion" in Europe is actually a "trillion" in the U.S.!
The United Kingdom switched to the Short Form in 1974. Today, the Short Form is the most common way to name large numbers in English-speaking countries.
Names for Super Big Numbers
Here's a table showing how some of these really big numbers are named in different systems:
Scientific Notation |
American Name (Short Form) |
European Name (Long Form) |
British Name (Long Form) |
---|---|---|---|
100 | One | One | One |
101 | Ten | Ten | Ten |
102 | Hundred | Hundred | Hundred |
103 | Thousand | Thousand | Thousand |
104 | Ten thousand | Ten thousand | Ten thousand |
105 | Hundred thousand | Hundred thousand | Hundred thousand |
106 | Million | Million | Million |
109 | Billion | Milliard | Thousand million |
1012 | Trillion | Billion | Billion |
1015 | Quadrillion | Billiard | Thousand billion |
1018 | Quintillion | Trillion | Trillion |
1021 | Sextillion | Trilliard | Thousand trillion |
1024 | Septillion | Quadrillion | Quadrillion |
1027 | Octillion | Quadrilliard | Thousand quadrillion |
1030 | Nonillion | Quintillion | Quintillion |
1033 | Decillion | Quintilliard | Thousand quintillion |
1036 | Undecillion | Sextillion | Sextillion |
1039 | Duodecillion | Sextilliard | Thousand sextillion |
1042 | Tredecillion | Septillion | Septillion |
1045 | Quattuordecillion | Septilliard | Thousand septillion |
1048 | Quindecillion | Octillion | Octillion |
1051 | Sexdecillion | Octilliard | Thousand octillion |
1054 | Septendecillion | Nonillion | Nonillion |
1057 | Octodecillion | Nonilliard | Thousand nonillion |
1060 | Novemdecillion | Decillion | Decillion |
1063 | Vigintillion | Decilliard | Thousand decillion |
1066 | Unvigintillion | Undecillion | Undecillion |
1069 | Duovigintillion | Undecilliard | Thousand undecillion |
1072 | Trevigintillion | Duodecillion | Duodecillion |
1075 | Quattuorvigintillion | Duodecilliard | Thousand duodecillion |
1078 | Quinvigintillion | Tredecillion | Tredecillion |
1081 | Sexvigintillion | Tredecilliard | Thousand tredecillion |
1084 | Septenvigintillion | Quattuordecillion | Quattuordecillion |
1087 | Octovigintillion | Quattuordecilliard | Thousand quattuordecillion |
1090 | Novemvigintillion | Quindecillion | Quindecillion |
1093 | Trigintillion | Quindecilliard | Thousand quindecillion |
1096 | Untrigintillion | Sexdecillion | Sexdecillion |
1099 | Duotrigintillion | Sexdecilliard | Thousand sexdecillion |
10102 | Tretrigintillion | Septedecillion | Septedecillion |
10105 | Quattuortrigintillion | Septedecilliard | Thousand septedecillion |
10108 | Quintrigintillion | Octodecillion | Octodecillion |
10111 | Sextrigintillion | Octodecilliard | Thousand octodecillion |
10114 | Septentrigintillion | Novemdecillion | Novemdecillion |
10117 | Octotregintillion | Novemdecilliard | Thousand novemdecillion |
10120 | Novemtrigintillion | Vigintillion | Vigintillion |
There are also some special names for incredibly huge numbers:
- A googol is a 1 followed by 100 zeros (10100).
- A googolplex is a 1 followed by a googol of zeros (10googol). Imagine how many zeros that is!
- And then there's the googolplexian, which is a 1 followed by a googolplex number of zeros. These numbers are so big, they are mostly used in math to talk about very large amounts.
The name centillion was created in the 1800s. It means the 100th "illion" number. In the Short Form, it's 10303. In the Long Form, it's 10600.