Chapter 19, Problem 20AR

To determine

(a)

To multiply given two decimal numbers.

Answer to Problem 20AR

  $0.5550$

Explanation of Solution

Given information:

An expression is given as $0.925\times 0.6$

Calculation:

We have been given an expression as $0.925\times 0.6$.

Multiplying given two numbers,

  $\begin{array}{l}0.925\\ \frac{\times 0.6}{0.5550}\end{array}$

Hence, $0.925\times 0.6$$=$$0.5550$

To determine

(b)

To multiply given two decimal numbers.

Answer to Problem 20AR

  $8.3490$

Explanation of Solution

Given information:

An expression is given as $3.63\times 2.30$

Calculation:

We have been given an expression as $3.63\times 2.30$.

Multiplying given two numbers,

  $\begin{array}{l}3.63\\ \frac{\times 2.30}{\begin{array}{l}000\\ 1089\\ \frac{726}{8.3490}\end{array}}\end{array}$

Hence, $3.63\times 2.30$$=$$8.3490$

To determine

(d)

To multiply given two decimal numbers.

Answer to Problem 20AR

  $0.3367$

Explanation of Solution

Given information:

An expression is given as $4.81\times 0.07$

Calculation:

We have been given an expression as $4.81\times 0.07$.

Multiplying given two numbers,

  $\begin{array}{l}4.81\\ \frac{\times 0.07}{\begin{array}{l}3367\\ 000\\ \frac{+000}{0.3367}\end{array}}\end{array}$

Hence, $4.81\times 0.07$$=$$0.3367$

To determine

(e)

To multiply given two decimal numbers.

Answer to Problem 20AR

  $0.0121$

Explanation of Solution

Given information:

An expression is given as $12.123\times 0.001$

Calculation:

We have been given an expression as $12.123\times 0.001$.

Multiplying given two numbers,

  $\begin{array}{l}12.123\\ \frac{\times 0.001}{\begin{array}{l}12123\\ 00000\\ \frac{\begin{array}{l}00000\\ +00000\end{array}}{0.012123}\end{array}}\end{array}$

Hence, $12.123\times 0.001$$=$$0.012123$$=$$0.0121$

  $\left\{\text{Rounding off to 4 decimal places}\right\}$

To determine

(f)

To divide given two decimal numbers.

Answer to Problem 20AR

  $2.1795$

Explanation of Solution

Given information:

An expression is given as $0.85÷0.39$

Calculation:

We have been given an expression as $0.85÷0.39$.

Rewriting the given expression $\frac{0.85}{0.39}=\frac{0.85}{0.39}\times \frac{100}{100}=\frac{85}{39}$

Dividing given two numbers,

  $39\begin{array}{c}\hfill 2.17948\\ \hfill \overline{)\begin{array}{l}85.00000\\ \frac{78}{\begin{array}{l}70\\ \frac{39}{\begin{array}{l}310\\ \frac{273}{\begin{array}{l}370\\ \frac{351}{\begin{array}{l}190\\ \frac{156}{\begin{array}{l}340\\ \frac{312}{28}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}$

Hence, $0.85÷0.39$$=$$2.17948$$=$$2.1795$

  $\left\{\text{Rounding off the number to 4 decimal places}\right\}$

To determine

(g)

To divide given two decimal numbers.

Answer to Problem 20AR

  $10$

Explanation of Solution

Given information:

An expression is given as $0.100÷0.01$

Calculation:

We have been given an expression as $0.100÷0.01$.

Rewriting the given expression $\frac{0.100}{0.01}=\frac{0.100}{0.01}\times \frac{100}{100}=10$

Hence, $0.100÷0.01$$=$$10$

To determine

(h)

To divide given two decimal numbers.

Answer to Problem 20AR

  $133.8667$

Explanation of Solution

Given information:

An expression is given as $4.016÷0.03$

Calculation:

We have been given an expression as $4.016÷0.03$.

Rewriting the given expression $\frac{4.016}{0.03}=\frac{4.016}{0.03}\times \frac{100}{100}=\frac{401.6}{3}$

Dividing given two numbers,

  $3\begin{array}{c}\hfill 133.86666\\ \hfill \overline{)\begin{array}{l}401.6\\ \frac{3}{\begin{array}{l}10\\ \frac{9}{\begin{array}{l}11\\ \frac{9}{\begin{array}{l}26\\ \frac{24}{\begin{array}{l}20\\ \frac{18}{\begin{array}{l}20\\ \frac{18}{20}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}$

Hence, $4.016÷0.03$$=$$\mathrm{133.86666...}$$=$$133.8667$

  $\left\{\text{Rounding off the number to 4 decimal places}\right\}$

To determine

(i)

To divide given two decimal numbers.

Answer to Problem 20AR

  $184.9624$

Explanation of Solution

Given information:

An expression is given as $123÷0.665$

Calculation:

We have been given an expression as $123÷0.665$.

Rewriting the given expression $\frac{123}{0.665}=\frac{123}{0.665}\times \frac{1000}{1000}=\frac{123000}{665}$

Dividing given two numbers,

  $665\begin{array}{c}\hfill 184.9624\\ \hfill \overline{)\begin{array}{l}123000\\ \frac{665}{\begin{array}{l}5650\\ \frac{5320}{\begin{array}{l}3300\\ \frac{2660}{\begin{array}{l}6400\\ \frac{5985}{\begin{array}{l}4150\\ \frac{3990}{\begin{array}{l}1600\\ \frac{1330}{\begin{array}{l}2700\\ \frac{\text{ 2660}}{40}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}$

Hence, $123÷0.665$$=$$184.9624$

  $\left\{\text{Rounding off the number to 4 decimal places}\right\}$.

To determine

(j)

To divide given two decimal numbers.

Answer to Problem 20AR

  $0.0002$

Explanation of Solution

Given information:

An expression is given as $0.00098÷5.036$

Calculation:

We have been given an expression as $0.00098÷5.036$.

Rewriting the given expression $\frac{0.00098}{5.036}=\frac{0.00098}{5.036}\times \frac{1000}{1000}=\frac{0.98}{5036}$

Dividing given two numbers we get-

  $\frac{0.98}{5036}=0.0001946=0.0002$

Hence, $0.00098÷5.036$$=$$0.0002$

  $\left\{\text{Rounding off the number to 4 decimal places}\right\}$