Chapter 12, Problem 7A

To determine

(a)

To divide given two decimal numbers.

Answer to Problem 7A

  $1.597$

Explanation of Solution

Given information:

An expression is given as $0.69÷0.432$

Calculation:

We have been given an expression as $0.69÷0.432$.

Rewriting the given expression $\frac{0.69}{0.432}=\frac{0.69}{0.432}\times \frac{1000}{1000}=\frac{690}{432}$

Dividing given two numbers,

  $432\begin{array}{c}\hfill 1.59722\\ \hfill \overline{)\begin{array}{l}690\\ \frac{432}{\begin{array}{l}2580\\ \frac{2160}{\begin{array}{l}4200\\ \frac{3888}{\begin{array}{l}3120\\ \frac{3024}{\begin{array}{l}960\\ \frac{864}{\begin{array}{l}960\\ \frac{864}{96}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}$

Hence, $0.69÷0.432$ $=$ $1.597$  $\left\{\text{Rounding off the number to 3 decimal places}\right\}$

To determine

(b)

To divide given two decimal numbers.

Answer to Problem 7A

  $2.56$

Explanation of Solution

Given information:

An expression is given as $0.92÷0.36$

Calculation:

We have been given an expression as $0.92÷0.36$.

Rewriting the given expression $\frac{0.92}{0.36}=\frac{0.92}{0.36}\times \frac{100}{100}=\frac{92}{36}$

Dividing given two numbers,

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

Hence, $0.92÷0.36$ $=$ $2.56$  $\left\{\text{Rounding off the number to 2 decimal places}\right\}$

To determine

(c)

To divide given two decimal numbers.

Answer to Problem 7A

  $0.0100$

Explanation of Solution

Given information:

An expression is given as $0.001÷0.1$

Calculation:

We have been given an expression as $0.001÷0.1$.

Rewriting the given expression $\frac{0.001}{0.1}=\frac{0.001}{0.1}\times \frac{10}{10}=\frac{0.01}{1}=0.01$

Hence, $0.001÷0.1$ $=$ $0.0100$  $\left\{\text{Rounding off the number to 4 decimal places}\right\}$

To determine

(d)

To divide given two decimal numbers.

Answer to Problem 7A

  $10000$

Explanation of Solution

Given information:

An expression is given as $10÷0.001$

Calculation:

We have been given an expression as $10÷0.001$.

Rewriting the given expression $\frac{10}{0.001}=\frac{10}{0.001}\times \frac{1000}{1000}=\frac{10000}{1}=10000$

Hence, $10÷0.001$ $=$ $10000$

To determine

(e)

To divide given two decimal numbers.

Answer to Problem 7A

  $11.367$

Explanation of Solution

Given information:

An expression is given as $1.023÷0.09$

Calculation:

We have been given an expression as $1.023÷0.09$.

Rewriting the given expression $\frac{1.023}{0.09}=\frac{1.023}{0.09}\times \frac{100}{100}=\frac{102.3}{9}$

Dividing two numbers,

  $9\begin{array}{c}\hfill 11.3666\\ \hfill \overline{)\begin{array}{l}102.3\\ \frac{9}{\begin{array}{l}12\\ \frac{9}{\begin{array}{l}33\\ \frac{27}{\begin{array}{l}60\\ \frac{54}{60}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}$

Hence, $1.023÷0.09$ $=$ $11.367$  $\left\{\text{Rounding off the number to 3 decimal places}\right\}$

To determine

(f)

To divide given two decimal numbers.

Answer to Problem 7A

  $4.29$

Explanation of Solution

Given information:

An expression is given as $\frac{16.3}{3.8}$

Calculation:

We have been given an expression as $\frac{16.3}{3.8}$.

Rewriting the given expression

  $\begin{array}{l}\frac{16.3}{3.8}\\ =\frac{16.3}{3.8}\times \frac{10}{10}\\ =\frac{163}{38}\\ =4.28947\end{array}$

Hence, $\frac{16.3}{3.8}$ $=$ $4.29$  $\left\{\text{Rounding off the number to 2 decimal places}\right\}$

To determine

(g)

To divide given two decimal numbers.

Answer to Problem 7A

  $135.53$

Explanation of Solution

Given information:

An expression is given as $\frac{37}{0.273}$

Calculation:

We have been given an expression as $\frac{37}{0.273}$.

Rewriting the given expression

  $\begin{array}{l}\frac{37}{0.273}\\ =\frac{37}{0.273}\times \frac{1000}{1000}\\ =\frac{37000}{273}\\ =135.53113\end{array}$

Hence, $\frac{37}{0.273}$ $=$ $135.53$  $\left\{\text{Rounding off the number to 2 decimal places}\right\}$

To determine

(h)

To divide given two decimal numbers.

Answer to Problem 7A

  $0.0062$

Explanation of Solution

Given information:

An expression is given as $\frac{0.005}{0.81}$

Calculation:

We have been given an expression as $\frac{0.005}{0.81}$.

Rewriting the given expression

  $\begin{array}{l}\frac{0.005}{0.81}\\ =\frac{0.005}{0.81}\times \frac{100}{100}\\ =\frac{0.5}{81}\\ =0.00617284\end{array}$

Hence, $\frac{0.005}{0.81}$ $=$ $0.0062$  $\left\{\text{Rounding off the number to 4 decimal places}\right\}$