Base 10 system

Definition

The base 10 system, also known as the decimal system, is a positional numeral system using ten digits from 0 to 9. Each digit's position represents a power of 10.

5 Must Know Facts For Your Next Test

1. 1. In the base 10 system, the rightmost digit represents 10^0 (ones place), the next represents 10^1 (tens place), and so on.
2. 2. The value of a number is calculated by summing each digit multiplied by its corresponding power of 10.
3. 3. The Hindu-Arabic numeral system uses base 10 for its number representation.
4. 4. Decimal fractions are written with a decimal point separating the integer part from the fractional part.
5. 5. Base 10 is widely used in everyday life due to its simplicity and historical development.

Review Questions

• 1. What digits are used in the base 10 system?
• 2. How do you calculate the value of a number in base 10?
• 3. Why is the base 10 system commonly used?

Related terms

Positional Notation: A method of representing or encoding numbers where the position of each digit within a number determines its value

Hindu-Arabic Numerals: The numeral system consisting of ten symbols (0-9) which forms the basis for modern decimal notation

Decimal Point: A dot used to separate the whole number part from the fractional part in decimal notation