Math, asked by monika6369, 1 year ago

How to represent rational no on number line?

Answers

Answered by Anonymous
4
Hello dear friend ☺☺

ANS-

we call the process of visualisation of representatives of numbers on the number line, through a magnifying glass, as the PROCESS OF SUCCESSIVE MAGNIFICATION.

Thus, we can say that every real number is represented by a unique point on the number line. further , every point on the number line represents one and only one real number.

Example -

Q. Show how √5 can be represented on the number line??

Sol.
we know that ,
√5 = √4+1 = √2²+1¹

Draw right angled triangle OQP,
OQ = 2 units
PQ = 1 units

and angle OQP = 90°
Now , by using Pythagoras theorem, we have

OP² = OQ² + PQ² = 2²+1²
=>OP = √4+1 = √5

Now, take O as center OP = √5 as radius,
Draw an Arc , which interests the line at point R

Hence , the point R represents √5 .

Hope it's helps you.
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