Question

How would you estimate whether 27/50 is closer to 1/2 or 1 without using a number line? Explain.

Answer 1

Answer

$Find\ out\ the\ how\ would\ you\ estimate\ whether\ \frac{27}{50}\ is\ closer\ \frac{1}{2} to\ or 1\ without\ using\ a\ number\ line .$

To prove

$As\ the\ value\ of\ \frac{27}{50}\ in\ decimal\ form.$

$= \frac{27}{50}$

= 0.54

$As\ the\ value\ of\ \frac{1}{2}\ in\ decimal\ form.$

$= \frac{1}{2}$

= 0.5

$As\ the\ value\ of\ 1 \ in\ decimal\ form.$

= 1.00

Now we find out the mid point of the 0.5 and 1.00 .

$Mid\ point = \frac{1.00+0.5}{2}$

(Mid point is the point lies middle of a line segment .)

Mid point = 0.75

Thus

$0.54< 0.75$

This shows o.54 lies between 0.5 and 1.00

This means 0.54 lies right to 0.5 and left from 1.00 .

Therefore

$\frac{27}{50}\ lies\ right\ to\ \frac{1}{2} and\ left\ from\ 1.$