# Mathematics Summary Unit-1 Number System: Representing Integers on the Number Line (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Representing Integers on the Number Line

We extend the number line used for representing whole numbers to the left of zero and mark points such that 1 and and and are equidistantfrom zero and are in opposite directions of zero.

Thus, we have the integer number line as follows:

We can now easily represent integers on the number line. For example, let us represent on the number line. In the figure, the points respectivelyrepresent .

For finding the greater (or smaller) of the two integers a and b.

if is to the right of

if is to the left of

Example: Identify natural number, whole numbers and integers from the following:

Solution:

Natural numbers are:

Whole numbers are:

Integers are:

Example: Using number line, add the following integers:

Solution:

(i)