Chapter 7.1, Problem 41PPS

To determine

Define correct sentence using <, >, =

  $\frac{7}{10}•70\frac{1}{4}\%$

Answer to Problem 41PPS

Correct sentence is $\frac{7}{10}<70\frac{1}{4}\%$

Explanation of Solution

Given:

  $\begin{array}{l}a=\frac{7}{10}\\ b=70\frac{1}{4}\%\end{array}$

Calculations:

We have to calculate value of a and b

Solving given fraction into simple decimal form.

  $a=\frac{7}{10}=0.7$

  $b=70\frac{1}{4}\%=\frac{281}{4}\%=70.25\%=0.7025$

Comparing a and b, we get

  $0.7<0.7025$

  $\frac{7}{10}<70\frac{1}{4}\%$

Conclusion:

Therefore, we are able to make a correct sentence using appropriate mathematical symbol.