Question

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

Answer 1

To estimate whether 27/50 is closer to 1/2 or 1 without using a number line, convert the fractions to a common denominator and compare the numerators. 27/50 is closer to 1/2.

Step-by-step explanation:

To estimate whether 27/50 is closer to 1/2 or 1 without using a number line, we can compare the fractions by finding a common denominator and then comparing the numerators. Let's convert 1/2 and 1 to the same denominator as 27/50, which is 100. For 1/2, multiplying the numerator and denominator by 50 gives us 50/100. For 1, multiplying the numerator and denominator by 100 gives us 100/100. Now, we can compare the numerators: 27 is closer to 50 than to both 50 and 100, so 27/50 is closer to 1/2.

Answer 2

`Find\ out\ the\ how\ would\ you\ estimate\ whether\ (27)/(50)\ is\ closer\ (1)/(2)  to\ or 1\ without\ using\ a\ number\ line .`

To prove

`As\ the\ value\ of\ (27)/(50)\ in\ decimal\ form.`

`= (27)/(50)`

= 0.54

`As\ the\ value\ of\ (1)/(2)\ in\ decimal\ form.`

`= (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 = (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

`(27)/(50)\ lies\ right\ to\ (1)/(2) and\ left\ from\ 1.`