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Question

Question 3
Show how 5 can be represented on the number line.

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Solution

Step 1: Let AB be a line of length 2 unit on the number line.

Step 2: At B, draw a perpendicular line BC of length 1 unit. Join CA.

Step 3: Now, ABC is a right angled triangle. Applying Pythagoras theorem,

AB2+BC2=CA2 22+12=CA2 CA2=5CA=5

Thus, CA is a line of length 5 unit.

Step 4: Taking CA as a radius and A as a centre draw an arc touching the number line. The point at which number line get intersected by the arc is at 5 distance from 0 because it is a radius of the circle whose centre is A.

Thus, 5 is represented on the number line as shown in the figure.


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