Chapter 13, Problem 7A

To determine

(a)

To divide: The given expression up to three decimal places.

Answer to Problem 7A

  $1.597$

Explanation of Solution

Given:

The expression is $0.69÷0.432$

Calculation:

First remove the decimal of the given numbers and convert them into whole numbers.

  $\begin{array}{l}\frac{0.69}{0.432}\times \frac{1000}{100}\\ \frac{69}{432}\times \frac{1000}{100}\\ \Rightarrow \frac{690}{432}\end{array}$

Now, divide the numerator by the denominator.

  $432\begin{array}{c}\hfill 1.5972\\ \hfill \overline{)\begin{array}{l}690\\ \underset{\_}{432}\end{array}}\end{array}$

  $\begin{array}{l}2580\\ \underset{\_}{2160}\\ 4200\\ \underset{\_}{3888}\end{array}$

  $\begin{array}{l}3120\\ \underset{\_}{3024}\\ 96\end{array}$

The digit following the third decimal place is 2.

As 2 is smaller than 5, drop the rest digits after third decimal value.

Thus, the decimal number up to three places is 1.597.

Conclusion:

The decimal value up to three places is $\mathrm{1.597.}$

To determine

(b)

To divide: The given expression up to two decimal places.

Answer to Problem 7A

  $2.56$

Explanation of Solution

Given:

The expression is $0.92÷0.36$

Calculation:

First remove the decimal of the given numbers and convert them into whole numbers.

  $\begin{array}{l}\frac{0.92}{0.36}\times \frac{100}{100}\\ \frac{92}{36}\times \frac{100}{100}\\ \Rightarrow \frac{92}{36}\end{array}$

Now, divide the numerator by the denominator.

  $\begin{array}{l}36\begin{array}{c}\hfill 2.555\\ \hfill \overline{)\begin{array}{l}92\\ \underset{\_}{72}\end{array}}\end{array}\\ 200\\ \underset{\_}{180}\\ 200\\ \underset{\_}{180}\\ 200\\ \underset{\_}{180}\\ 20\end{array}$

The digit following the second decimal place is 5.

As the third digit is 5, add 1 to the number 5 and drop the rest digits.

Thus, the decimal number up to two places is 2.56.

Conclusion:

The decimal value up to two places is $\mathrm{2.56.}$

To determine

(c)

To divide: The given expression up to four decimal places.

Answer to Problem 7A

  $0.0100$

Explanation of Solution

Given:

The expression is $0.001÷0.1$

Calculation:

First remove the decimal of the given numbers and convert them into whole numbers.

  $\begin{array}{l}\frac{0.001}{0.1}\times \frac{10}{1000}\\ \frac{1}{1}\times \frac{10}{1000}\\ \Rightarrow \frac{1}{100}\end{array}$

Now, divide the numerator by the denominator.

  $\begin{array}{l}100\begin{array}{c}\hfill .01\\ \hfill \overline{)\begin{array}{l}100\\ \underset{\_}{100}\end{array}}\end{array}\end{array}$

              00

Thus, the decimal number up to four places is 0.0100.

Conclusion:

The decimal value up to four places is $\mathrm{0.0100.}$

To determine

(d)

To divide: The given expression up to three decimal places.

Answer to Problem 7A

  $10,000.000$

Explanation of Solution

Given:

The expression is $10÷0.001$

Calculation:

First remove the decimal of the given numbers and convert them into whole numbers.

  $\begin{array}{l}\frac{10}{0.001}\times \frac{1000}{1}\\ \Rightarrow \frac{10000}{1}\end{array}$

Now, divide the numerator by the denominator.

  $\begin{array}{l}1\begin{array}{c}\hfill 10000.000\\ \hfill \overline{)\begin{array}{l}10000\\ \underset{\_}{10000}\end{array}}\end{array}\end{array}$

                     00                                       

Thus, the decimal number up to three places is 10,000.000.

Conclusion:

The decimal value up to three places is $10,\mathrm{000.000.}$