Chapter 4, Problem 19MS

To determine

To simplify: The expression $-82.05÷\left(-25\right)$

Answer to Problem 19MS

The simplified expression is $\frac{8205}{2500}$ or $\frac{3282}{1000}$ and its value is $3.2820$ .

Explanation of Solution

Given information:

The given expression is $-82.05÷\left(-25\right)$ .

Formula used:

The expression $x÷y\text{=}\frac{x}{y}$ and $32.08=\frac{3208}{100}$ .

Calculations:

The given expression ( E ) is $E=-82.05÷\left(-25\right)$ .

  $\Rightarrow E=\frac{-82.05}{-25}$

  $\Rightarrow E=\frac{-82.05}{-25}\times \frac{\left(-1\right)}{\left(-1\right)}=\frac{82.05}{25}$

  $\Rightarrow E=\frac{8205}{25\times 100}=\frac{8205}{2500}$

(To remove 2 decimal places right; divided by 100)

  $\Rightarrow E=\frac{82.05}{25}\times \frac{\left(4\right)}{\left(4\right)}$

  $\Rightarrow E=\frac{328.20}{100}=\frac{32820}{100\times 100}=\frac{3282}{1000}$$\because 25\times 4=100$

  $\Rightarrow E=3.2820$

(When divided by 100 decimal shifts two digits to the left)

The simplified expression is $E=\frac{8205}{2500}$ or $E=\frac{3282}{1000}$ and its value is $E=3.2820$ .

Conclusion:

The simplified expression is $\frac{8205}{2500}$ or $\frac{3282}{1000}$ and its value is $3.2820$ .