5 Represent the given Rational number on Number line
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Draw number line as shown in the figure. Let the point O represent 0(zero) and point A represents
2. Draw perpendicular AX at A on the number line and cut-off arc AB=1unit.
We have OA=2 units and AB=1unitUsing pythagoras theorem, we have,OB 2 =OA 2 +AB 2 OB 2 =(2) 2 +1 2 =5OB= 5
Taking O as the centre and OB= 5 as radius
draw an arc cutting real line at C.
Clearly, OC=OB= 5 .
Hence, C represents 5 on the number line
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- TAKING O AS THE CENTER .
- OB AS THE RADIUS DRAW AN ARC CUTTING REAL LINE C .
- CLEARLY , OC = OB = √5
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