# What is the base 10 numeration system? Definition and example

The base 10 numeration system is a number system using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 to represent every possible number.

It is a system of grouping by tens, hundreds, thousands, and so forth.

- When 9 ones have been counted, the next number is recorded as one ten and zero ones (10).

- When 29 ones have been counted, the next number is recorded as three tens and zero ones (30).

- When 99 ones have been counted, the next number is recorded as one hundred, zero tens, and zero ones (100).

- When 999 ones have been counted, the next number is recorded as one thousand, zero hundreds, zero tens, and zero ones (1000).

For example, the number 365 is three hundreds, six tens and five ones.

## Other names given to the base 10 numeration system

- Decimal numeration system

- Hindu-Arabic number system

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