Question

97.5 root divided by 1.96 estimate the value

Answer 1

Answer :

± 5.038

Explanation :

$\sqrt{97.5}$ ÷ $1.96$

= ± 9.87 ÷ 1.96

writing in the form of mixed fraction :

= ±  $(9\frac{874}{1000} )$  ÷ $( 1\frac{960}{1000} )$

= ±  $(\frac{987}{1000} )$ ÷ $( \frac{1960}{1000} )$

taking the reciprocal :

= ±  $\frac{9874}{1000} \times \frac{1000}{1960\n}$

= ±  $\frac{9874}{1960}$

on simplifying we get ,

=  ±   $\frac{4937}{980}$

= ± $5.038$

hence , estimated value is ± 5.038

Answer 2

From the given question the correct answer is:

97.5 root divided by 1.96 estimates the value  is ±5.038

To find :

$\sqrt{97.5}$ ÷1.96=?

Solution:

$\sqrt{97.5}$ ÷1.96

The square root of $\sqrt{97.5}$ is ±9.87

Now,

±9.87 ÷ 1.96

Now, we write the decimal into mixed fraction form.

=  ±$(9\frac{874}{1000} )$÷$(1\frac{960}{1000} )$

= ±$(\frac{9874}{1000} )$÷$(\frac{1960}{1000} )$

As by rule,take the reciprocal

= ±$\frac{9874}{1000}$ ×  $\frac{1000}{1960}$

=± $\frac{9874}{1960}$

= ± $\frac{4937}{980}$

=± 5.038

The final answer is : =± 5.038