# Number System

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## Important Concepts in Number System

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- Divisibility Tests
- Properties of Numbers
- Digit Arithmetic
- HCF and LCM

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## Important Points

Ten is called the base of our number system

Set of Integers

Z = {......-4, -3, -2, -1, 0, 1, 2, 3, 4 .......}

Positive integers 1, 2, 3, 4, ... are called

All natural numbers together with zero are

Set of natural numbers is a subset of set of whole numbers, 0 being the exception

Set of Integers

Z = {......-4, -3, -2, -1, 0, 1, 2, 3, 4 .......}

Positive integers 1, 2, 3, 4, ... are called

**natural numbers**. Smallest natural number is 1 and there is no largest natural number. The set of natural numbers N is infinite.All natural numbers together with zero are

**whole numbers**. 0 is the smallest whole number. The set of whole numbers W is infinite.Set of natural numbers is a subset of set of whole numbers, 0 being the exception