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CBSE Class 9MathematicsNumber System

Locate on the number line.

Step-by-step solution

Draw a number line ( l ) and mark the points O, A, B and C such that OA = AB = BC = 1 unit. Draw CD l , such that CD = 1 unit Join OD. In right OCD, using Pythagoras Theorem, we have OD 2 = OC 2 + CD 2 OD 2 = 9 + 1 = 10 OD = units Taking O as centre and OD as radius, draw an arc which intersects line l at F. Point F represents . Now, draw EF l such that EF = 1 unit Join OE. In right OEF, using Pythagoras Theorem, we have OE 2 = OF 2 + EF 2 OE = units Taking O as centre and OE as radius, draw an arc which intersects

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