Question

how to represent a real number on the number line??​

Answer 1

Answer:

For representation of real numbers on number line, use the following steps :

Represent √x on number line.

Step 1 Draw a line and mark a point A on it.

Step 2 Mark a point B on the line drawn such that AB = x cm.

Step 3 Mark a point C on AB produced such that BC = 1 cm.

Step 4 Find mid-point of AC (x+1). Let the mid-point be O.

Step 5 Taking O as centre and OC = OA [(x+1)/2] as radius draw a semi-circle. Also draw a line passing through B perpendicular to OB. Let it cut the semi-circle at D

Step 6 Taking B as the centre and BD as radius draw an arc cutting OC produced at E.

Point E so obtained represents √x.

Answer 2

Answer:

In the first number line, each tick mark represents two units. In the second, each tick mark represents . The graph of each real number is shown as a dot at the appropriate point on the number line.