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Question

Represent 5 on the number line.

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Solution

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=1unit

Using pythagoras theorem, we have,
OB2=OA2+AB2
OB2=(2)2+12=5
OB=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.

1276469_1359547_ans_c8d3b879aaca40e1881793c6683241bd.jpg

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