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:

Representing Integers on the Number Line

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 .

Integers on the Number Line

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

we follow the following rule:

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)

Number Line

A represents 9 on the number line, going 5 units to the left of A, we reach the point B, which represents 4.

(ii)

Number Line

Starting from zero (0) and going three units to the left of zero, we reach the point A, which represents . From A going 7 units to the left of A, we reach the point B which represents .

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