Chapter 1.3, Problem 44P

Order the numbers from least to greatest.

$8.775,\sqrt{67.4698},\frac{64.56}{8.477}$

To determine

To Rearrange: The numbers given in the ascending order.

Answer to Problem 44P

  $\frac{64.56}{8.477}$ >$\sqrt{67.4698}$ >$8.775$

Explanation of Solution

Given:

First number $=8.775$

Second number $=\sqrt{67.4698}$

Third number $=\frac{64.56}{8.477}$

Calculation:

First number $=8.775\mathrm{.....}\left(1\right)$

Second number $=\sqrt{67.4698}=8.214\mathrm{....}\left(2\right)$

Third number $=\frac{64.56}{8.477}=7.616\mathrm{....}\left(3\right)$

From (1), (2), and (3)

Smallest number is $7.616$

Greatest number is $8.775$

Now, arranging them from smallest/ least to greatest as:

  $7.616>8.214>8.775$

  $\frac{64.56}{8.477}$ >$\sqrt{67.4698}$ >$8.775$