Number

Definition

A number is a mathematical object used to count, measure, and label. In contemporary mathematics, numbers are represented using the Hindu-Arabic positional system which utilizes digits 0-9.

5 Must Know Facts For Your Next Test

1. The Hindu-Arabic system is a positional decimal system where the position of each digit affects its value.
2. Numbers in this system are read from left to right, with each position representing a power of ten.
3. Zero (0) plays a crucial role as both a placeholder and an integer in the Hindu-Arabic system.
4. This system allows for efficient arithmetic operations like addition, subtraction, multiplication, and division.
5. The introduction of Arabic numerals significantly simplified calculations compared to Roman numerals.

Review Questions

• What role does zero play in the Hindu-Arabic positional number system?
• How does the position of a digit affect its value in the Hindu-Arabic system?
• Why was the transition from Roman numerals to Arabic numerals significant for arithmetic operations?

Related terms

Digit: A single numerical symbol ranging from 0 to 9 used in combinations to form numbers.

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

Decimal System: A base-10 numbering system that uses digits from 0 to 9.