Maths-
General
Easy
Question
Represent
and
on the number line
Hint:
Hint:
A number line is a straight line with numbers placed at equal intervals or segments along its length. Some square roots are irrational numbers and irrational numbers cannot be directly plotted on the number line so we use some geometrical techniques to plot irrational numbers on the number line.
The correct answer is: Represented on the number line as
Step 1: Draw a number line and mark point O. This point represents 0 on the number line. Numbers to the left of O are negative numbers and numbers to the right of O are positive numbers.
Step 2: Mark a point A on the number line such that OA = 1 unit
Step 3: Draw a line AB such that AB is perpendicular to the number line and AB = 1 unit. This results in a right-angled triangle OAB.
Step 4: Now, join OB
Step 5: By using Pythagoras Theorem, the length of OB can be found as

Step 6: With O as centre and OB as radius, draw an arc on the number line and mark the point as D. The point D represents
on the number line.
Step 7: Now,draw a line BC perpendicular to OB such that BC = 1 unit
Step 7: Then join OC
Step 8: OBC is a right-angled triangle. By using Pythagoras theorem, we have

Step 9: With O as centre and OC as radius, draw an arc on the number line and mark the point as E. The point E represents
on the number line.
Final Answer:
Hence,
and
can be represented on the number line as

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