Mathematics Summary Unit-1 Number System: Representing Integers on the Number Line

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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 andmark points such that 1 and and and are equidistantfrom zero and are in opposite directions of zero.

Thus, we have the integer number line asfollows:

Representing Integers on the Number Line

Representing Integers on the Number Line

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

Integers on the Number Line

Integers on the number line

For finding the greater (or smaller) of the two integers a and b, we follow the followingrule:

i) if is to the right of

ii) 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:

(i)

(ii)

Solution:

(i)

number line

Number Line

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

Number Line

number line

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

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