4.12: Dividing Decimals

Dividing decimals uses the same method that you learned for dividing whole numbers.

Vocabulary review:

 

[latex]\require{enclose} \begin{array}{r} \text{quotient}\\ \text{divisor}\enclose{longdiv}{\text{dividend}} \\ \end{array}[/latex]

dividend ÷ divisor = quotient

Using the above diagram, write the definitions.

Divisor:
Dividend:
Quotient:

Remember to use zeros to hold the places in the quotient if there is no other digit.

[latex]\begin{array}{r}\downarrow \phantom{0}\\1\mathbf{0}4\\9\enclose{longdiv}{936} \\9\downarrow \;\;\\\hline 03\phantom{0}\\0\downarrow\\\hline 36\\36\\ \hline0\end{array}[/latex]

Where Do You Place the Decimal Point?

Dividing decimals follows almost the same steps as dividing whole numbers. This section will show you two ways to figure out where to place the decimal point.

Method 1

One way is to estimate the quotient using rounded whole numbers.

Example A

[latex]17.7 \div3[/latex]

Estimate:

[latex]17.7 \div 3 \approx 18 \div 3 = 6[/latex]

This tells us that the correct answer will be around 6 (which is one whole number place).

We know that the answer will not be around 0.6 or 60.

If we take the decimals out and just divide the digits, the answer is 59.

[latex]\begin{array}{r}59\\3\enclose{longdiv}{177}\end{array}[/latex]

The estimate shows that the decimal point will come after one whole number.

[latex]17.7 \div 3 = 5.9[/latex]

Example B

[latex]137.88\div18[/latex]

Estimate:

[latex]137.88 \div 18 \approx 140 \div 20 = 7[/latex]

The answer will be around 7. It will not be around 0.7, 70, or 700.

If we take the decimals out and just divide the digits, the answer is 7.66.

[latex]\begin{array}{r}7.66\\18\enclose{longdiv}{137.88}\end{array}[/latex]

The estimate shows that the decimal point will come after one whole number.

[latex]137.88 \div 18 = 7.66[/latex]

To check the accuracy of your division, multiply the quotient by the divisor.

dividend ÷ divisor = quotient

quotient × divisor = dividend

The product will equal the dividend if your arithmetic is correct.

[latex]23.72 \div 8 = 2.965[/latex]                 [latex]\begin{array}{rr}&2.965\\ \times&8\\ \hline &23.720\end{array}[/latex]

Exercise 1

The division has been done. Your task is to put the decimal point in the quotient by doing a whole number estimate of the question.

Examples:

  • [latex]\begin{array}{r}10.8\\2\enclose{longdiv}{21.6}\\ \end{array}[/latex] [latex]\left(\begin{array}{r}10\\2\enclose{longdiv}{20}\\ \end{array}\right)[/latex]
  • [latex]\begin{array}{r}1.3\\8\enclose{longdiv}{10.4}\\ \end{array}[/latex] [latex]\left(\begin{array}{r}1\\8\enclose{longdiv}{10}\\ \end{array}\right)[/latex]

 

  1. [latex]\begin{array}{r}236\\6\enclose{longdiv}{14.16}\\ \end{array}[/latex]
  2. [latex]\begin{array}{r}53\\7\enclose{longdiv}{37.4}\\ \end{array}[/latex]
  3. [latex]\begin{array}{r}434\\4\enclose{longdiv}{173.6}\\ \end{array}[/latex]
  4. [latex]\begin{array}{r}345\\5\enclose{longdiv}{17.25}\\ \end{array}[/latex]
  5. [latex]\begin{array}{r}864\\7\enclose{longdiv}{60.48}\\ \end{array}[/latex]
  6. [latex]\begin{array}{r}182\\6\enclose{longdiv}{10.92}\\ \end{array}[/latex]
  7. [latex]\begin{array}{r}3369\\2\enclose{longdiv}{6.738}\\ \end{array}[/latex]
  8. [latex]\begin{array}{r}18\\37\enclose{longdiv}{66.6}\\ \end{array}[/latex]
  9. [latex]\begin{array}{r}243\\18\enclose{longdiv}{43.74}\\ \end{array}[/latex]
  10. [latex]\begin{array}{r}43\\21\enclose{longdiv}{90.3}\\ \end{array}[/latex]

Exercise 1 Answers

  1. 2.36
  2. 5.3
  3. 43.4
  4. 3.45
  5. 8.64
  6. 1.82
  7. 3.369
  8. 1.8
  9. 2.43
  10. 4.3

Method 2 (If the Divisor Is a Whole Number)

Have you found the shortcut?

If the divisor is a whole number, put the decimal point in the quotient right above the decimal point in the dividend.

Then just go ahead and divide, ignoring the decimal point altogether.

Example C

[latex]18.45\div9 =[/latex]

[latex]\begin{array}{r}\mathbf{.}\phantom{45}\\9\enclose{longdiv}{18\mathbf{.}45}\\ \end{array}[/latex]

[latex]\begin{array}{l}\hspace{0.7cm}2.05\\9 \enclose{longdiv}{18.45}\\\hspace{0.1cm}-18\downarrow\\\hline\hspace{0.7cm}0\,\mathbf{4}\\\hspace{0.7cm}-0\downarrow\\\hline\hspace{1cm}4\,\mathbf{5} \\\hspace{0.7cm}-45  \\\hline\hspace{1.3cm}0 \end{array}[/latex]

Example D

[latex]420.75\div25 =[/latex]

[latex]\begin{array}{r}\mathbf{.}\phantom{75}\\25\enclose{longdiv}{420\mathbf{.}75}\\ \end{array}[/latex]

[latex]\begin{array}{l}\hspace{0.7cm}16.83\\25 \enclose{longdiv}{420.75}\\\hspace{0.5cm}-25\downarrow\\\hline\hspace{0.8cm}17\,\mathbf{0}\\\hspace{0.5cm}-150\downarrow\\\hline\hspace{1.1cm}20\,\mathbf{7} \\\hspace{0.8cm}-200\downarrow  \\\hline\hspace{1.6cm}7\,\mathbf{5}  \\\hspace{1.3cm}-75 \\\hline\hspace{1.9cm}0 \end{array}[/latex]

 

Exercise 2

Find the quotients. Check the answer by multiplying the quotient by the divisor.

Example:     [latex]\begin{array}[t]{r}0.24\\60\enclose{longdiv}{14.40}\\ 12\downarrow\phantom{0}\\ \hline24\downarrow\\ 240\\ \hline0\end{array}[/latex]     Check:     [latex]\begin{array}[t]{r}&0.24\\ \times &60\\ \hline &14.40\end{array}[/latex]

 

  1. [latex]91\enclose{longdiv}{263.9}[/latex]
  2. [latex]25\enclose{longdiv}{207.5}[/latex]
  3. [latex]57\enclose{longdiv}{96.9}[/latex]
  4. [latex]63\enclose{longdiv}{176.4}[/latex]

Exercise 2 Answers

  1. 2.9
  2. 8.3
  3. 1.7
  4. 2.8

Method 3 (If the Divisor Is a Decimal)

The past section taught us that if the divisor is a whole number, we put the decimal point in the quotient right above the decimal point in the dividend. Then we just go ahead and divide.

But what if the divisor has a decimal in it? A decimal divisor must be changed to a whole number before we can divide.

Remember: Multiplying by 10, 100 or 1000, and so on, moves the decimal point as many places to the right as there are zeros in the 10, 100, 1000.

  • [latex]46 \times 10 = 460, 4.6 \times 10 = 46[/latex].
    The decimal moved over one spot because of the one zero in 10
  • [latex]46 \times 100 = 4\,600, 4.6 \times 100 = 460[/latex].
    The decimal moved over two spots because of the two zeros in 100

When the divisor and dividend are multiplied by the same number, the quotient is not changed.

Example E

[latex]0.05\enclose{longdiv}{1.255}[/latex]

If the divisor has a decimal, do this:

Step 1: Move the decimal point in the divisor as many places to the right as needed to make a whole number. In this example, the decimal is moved over two places, which is like multiplying by 100.

[latex]005.\enclose{longdiv}{1.255}[/latex]

Step 2: Now move the decimal point in the dividend the same number of places to the right (like multiplying by 100).

[latex]005.\enclose{longdiv}{125.5}[/latex]

Step 3: Put the decimal point in the quotient directly above the new place in the dividend. Now divide.

[latex]\begin{array}{r}25\mathbf{.}1\\5\enclose{longdiv}{125.5}\end{array}[/latex]

[latex]1.255 \div 0.05 = 25.1[/latex]

Note: Zeros may have to be put at the end of the dividend when you move the decimal point.

Example F

[latex]48.6 \div 0.24 =[/latex][latex]0.24\enclose{longdiv}{48.6}[/latex] changes to [latex]24.\enclose{longdiv}{4860.}[/latex]

There is nothing here, so we must add a zero.

Remember: If the dividend is a whole number, put a decimal to the right of it first, and then move the decimal as needed to match what you did to the divisor. You will need to add zeros to hold the places.

Example G

[latex]3.6 \div 1.8 =[/latex]

Step 1: Put a decimal to the right of the dividend.

[latex]1.8\enclose{longdiv}{36.}[/latex]

Step 2: Move the decimals for both numbers one place to the left. This is like multiplying both numbers by ten. Add a zero to the dividend to hold the tens place.

[latex]18.\enclose{longdiv}{360.}[/latex]

Step 3: Put the decimal directly above the decimal in the dividend.

[latex]\begin{array}{r}.\hspace{0.2em}\\18.\enclose{longdiv}{360.}\end{array}[/latex]

Exercise 3

Find the quotients.

  1. [latex]3.4\enclose{longdiv}{3.808}[/latex]
  2. [latex]6.6\enclose{longdiv}{19.14}[/latex]
  3. [latex]0.04\enclose{longdiv}{15.2}[/latex]
  4. [latex]0.67\enclose{longdiv}{6.164}[/latex]

Exercise 3 Answers

  1. 1.12
  2. 2.9
  3. 380
  4. 9.2

If you are having any difficulty with this exercise, ask your instructor for help before you go any further.

Exercise 4

Now, try these:

  1. [latex]0.5\enclose{longdiv}{0.2635}[/latex]
  2. [latex]1.7\enclose{longdiv}{15.47}[/latex]
  3. [latex]0.003\enclose{longdiv}{42.12}[/latex]
  4. [latex]0.33\enclose{longdiv}{0.1452}[/latex]

Exercise 4 Answers

  1. 0.527
  2. 9.1
  3. 14040
  4. 0.44

Exercise 5

Set the question up for long division and find the quotient. Check your answers by multiplying the quotient with the divisor. The product should equal the dividend.

Example:     [latex]0.2448 \div 0.008 =[/latex]     [latex]\begin{array}[t]{r}30.6\\0.008.\enclose{longdiv}{0.224\mathbf{.}8}\\24\downarrow\,\downarrow\\ \hline 04\downarrow\\0\downarrow\\ \hline 48\\48\\ \hline 0\end{array}[/latex]      Check:     [latex]\begin{array}[t]{rr}&30.6\\ \times& 0.008\\ \hline &0.2448\end{array}[/latex]

 

  1. [latex]2.3412 \div 0.6 =[/latex]
  2. [latex]25.6 \div 0.008 =[/latex]
  3. [latex]2.176 \div 3.4=[/latex]
  4. [latex]205 \div 4.1 =[/latex]
  5. [latex]2.1122 \div 59 =[/latex]

Exercise 5 Answers

  1. 3.902
  2. 3200
  3. 0.64
  4. 50
  5. 0.0358

What About Remainders?

The questions that you have been practicing all work out evenly. But, as you know, the world is seldom perfect, and division questions often have remainders! For everyday uses of mathematics, answers to the hundredths or thousandths decimal places are accurate enough.

If the division problem does not work out evenly:

  1. Do the long division until you have worked out three or four decimal places in your quotient. Add zeros to the decimal in the dividend as necessary.
  2. Round the quotient to the nearest tenth, hundredth, or thousandth as you are asked or as you need for your own use. Review rounding if you need to. (In this course, round to the nearest thousandth unless you are asked otherwise.)
  3. When planning to round the quotient, do the long division only to one decimal place past where you will round. It is not necessary to divide any further.
    • If rounding the quotient to the nearest tenths, divide to the hundredths place (2 decimal places).
    • If rounding the quotient to the nearest hundredths, divide to the thousandths place (3 decimal places).
    • If rounding the quotient to the nearest thousandths, divide to the ten-thousandths place (4 decimal places).

Example H

[latex]422 \div 1.7 =[/latex]

[latex]\begin{array}{l}\hspace{0.7cm}248.2352\\1.7 \enclose{longdiv}{422.00000}\\\hspace{0.4cm}-34\downarrow\\\hline\hspace{1cm}8\,\mathbf{2}\\\hspace{0.8cm}-68\downarrow\\\hline\hspace{1.2cm}14\,\mathbf{0} \\\hspace{1cm}-136\downarrow  \\\hline\hspace{1.8cm}4\,\mathbf{0} \\\hspace{1.6cm}-34\downarrow  \\\hline\hspace{2.2cm}6\,\mathbf{0} \\\hspace{2cm}-51 \downarrow \\\hline\hspace{2.6cm}9\,\mathbf{0} \\\hspace{2.4cm}-85\downarrow  \\\hline\hspace{3cm}5\,\mathbf{0} \\\hspace{2.8cm}-34  \\\hline\hspace{3.2cm}16 \end{array}[/latex]

The quotient 248.2352 will round this way:

  • To the nearest thousandth: 248.235
  • To the nearest hundredth: 248.24
  • To the nearest tenth: 248.2

Example I

[latex]12.5 \div 7 =[/latex]

[latex]\begin{array}{l}\hspace{0.7cm}1.7857\\7 \enclose{longdiv}{12.5000}\\\hspace{0.4cm}-7\downarrow\\\hline\hspace{0.8cm}5\,\mathbf{5}\\\hspace{0.6cm}-49\downarrow\\\hline\hspace{1.1cm}6\,\mathbf{0} \\\hspace{0.8cm}-56\downarrow  \\\hline\hspace{1.4cm}4\,\mathbf{0} \\\hspace{1.2cm}-35\downarrow  \\\hline\hspace{1.8cm}5\,\mathbf{0} \\\hspace{1.6cm}-49  \\\hline\hspace{2.2cm}1 \end{array}[/latex]

The quotient 1.7857 will round this way:

  • To the nearest thousandth: 1.786
  • To the nearest hundredth: 1.79
  • To the nearest tenth: 1.8

Always round money to the nearest cent.

Example J

[latex]$47.26 \div 3 =[/latex]

[latex]\begin{array}{l}\hspace{0.4cm}$15.753\\3 \enclose{longdiv}{$47.260}\\\hspace{0.3cm}-3\downarrow\\\hline\hspace{0.7cm}1\,\mathbf{7}\\\hspace{0.5cm}-15\downarrow\\\hline\hspace{1.1cm}2\,\mathbf{2} \\\hspace{0.9cm}-21\downarrow  \\\hline\hspace{1.5cm}1\,\mathbf{6} \\\hspace{1.3cm}-15  \\\hline\hspace{1.7cm}10\, \end{array}[/latex]

[latex]$15.753 \approx $15.75[/latex]

Sometimes numbers repeat when you divide. This will go on forever — to infinity.

Example K

[latex]100 \div 3 =[/latex]

[latex]\begin{array}{l}\hspace{0.7cm}33.333\\3 \enclose{longdiv}{100.000}\\\hspace{0.3cm}-9\downarrow\\\hline\hspace{0.7cm}1\,\mathbf{0}\\\hspace{0.7cm}-9\downarrow\\\hline\hspace{1.1cm}1\,\mathbf{0} \\\hspace{1.1cm}-0  \\\hline\hspace{1.5cm}10 \end{array}[/latex]

To show that the 3 keeps repeating as a decimal fraction, put a · (dot) or a ¯ (bar) above the repeating decimal digit.

[latex]33.\dot{3} \text{ or } 33.\bar{3}[/latex]

Sometimes, a group of digits will repeat. Put a bar above the repeating decimal digits. For example:

[latex]2.341341341341 = 2.\overline{341}[/latex]

Exercise 6

Use long division to find the quotient. Round the quotient to the nearest tenth.

  1. [latex]7.359 \div 1.3 =[/latex]
  2. [latex]15.68\div 2.2 =[/latex]
  3. [latex]4.93 \div 6 =[/latex]
  4. [latex]59 \div 8 =[/latex]

Exercise 6 Answers

  1. 5.7
  2. 7.1
  3. 0.8
  4. 7.4

Exercise 7

Divide and round the quotient to the nearest hundredth.

  1. [latex]43.893 \div 1.1 =[/latex]
  2. [latex]1.9525 \div 0.6 =[/latex]
  3. [latex]0.4474 \div 0.7 =[/latex]
  4. [latex]10.48 \div 1.5 =[/latex]

Exercise 7 Answers

  1. 39.90
  2. 3.25
  3. 0.64
  4. 6.99

Dividing by 10, 100, 1000, 10000, Etc.

Multiplication and division are opposite operations. Multiplying by ten, hundred, etc., moves the decimal point the same number of decimal places to the right as there are zeros in the 10, 100, 1000, etc. Moving a decimal point to the right gives a larger number.

Therefore, dividing by ten, hundred, etc., must move the decimal point to the left. Remember that moving a decimal point to the left gives a smaller number.

Study the following examples:

  • [latex]4.6 \div 10 = .46 = 0.46[/latex]
  • [latex]29.6 \div 10 = 2.9.6 = 2.96[/latex]
  • [latex]27.4 \div 100 = .27.4 = 0.274[/latex]
  • [latex]185.4 \div 100 = 1.85.4 = 1.854[/latex]
  • [latex]325 \div 1\,000 = 325. \div 1\,000 = .325. = 0.325[/latex]
  • [latex]2567. 3 \div 1\,000 = 2.567.3 = 2.5673[/latex]
To divide by a 10, 100, 1000, 10000, etc., move the decimal point the same number of places to the left as there are zeros in the divisor.

You may need to prefix zeros. Look at these examples:

  • [latex]0.3 \div 10 = .0.3 = 0.03[/latex]
  • [latex]1.75 \div 100 = .\_1.75 = 0.0175[/latex]
  • [latex]0.5 \div 1\,000 = .<\_ \_ \_.5 = 0.0005[/latex]

Exercise 8

Write the quotient. Use the short method you have just learned.

  1. [latex]7 \div 10 =[/latex]
  2. [latex]14 \div 100 =[/latex]
  3. [latex]6.5 \div 10 =[/latex]
  4. [latex]74.35 \div 10 =[/latex]
  5. [latex]43.2 \div 100 =[/latex]
  6. [latex]147.6 \div 100 =[/latex]
  7. [latex]183.75 \div 1\,000 =[/latex]
  8. [latex]2374.5 \div 1\,000 =[/latex]
  9. [latex]0.63 \div 10 =[/latex]
  10. [latex]7.46 \div 100 =[/latex]
  11. [latex]0.035 \div 10 =[/latex]
  12. [latex]366 \div 100 =[/latex]
  13. [latex]0.1 \div 1\,000 =[/latex]
  14. [latex]100.1 \div 10 =[/latex]
  15. [latex]16.2 \div 100 =[/latex]
  16. [latex]5692.1 \div 10 =[/latex]
  17. [latex]0.025 \div 100 =[/latex]
  18. [latex]3.31 \div 10 =[/latex]

Exercise 8 Answers

  1. 0.7
  2. 0.14
  3. 0.65
  4. 7.435
  5. 0.432
  6. 1.476
  7. 0.18375
  8. 2.3745
  9. 0.063
  10. 0.0746
  11. 0.0035
  12. 3.66
  13. 0.0001
  14. 10.01
  15. 0.162
  16. 569.21
  17. 0.00025
  18. 0.331

Word Problems Using Division of Decimals

Division problems usually give information about groups of things and ask you to find the information for one thing.

Review keywords pointing to division:

  • separated
  • split
  • cut
  • shared
  • What is the cost per…?
  • unit price
  • what is the distance per…?
  • average (speed, cost, weight, time)

Exercise 9

Solve these division problems.

Look carefully for the pattern of the problems and underline any keywords which point to division. Do an estimation before you find the actual solution.

Example: Joanne’s little car has a 44.5 L tank. She can drive 525 km on a tank of gas. What is the average distance she can travel per litre of gas? (The answer will be kilometres per litre, so you must divide the kilometres by the litres.)

  • Estimation: [latex]520 \text{ km } \div 40 \text{ L } \approx 13 \text{ km/L}[/latex]
  • Actual Solution:
    [latex]\begin{array}[b]{l}\phantom{0000p0}11.798\\445\enclose{longdiv}{5250.0}\end{array}[/latex] ← move the decimal over one spot in both numbers and add the appropriate number of zeros.
    [latex]525 \text{ km } \div 44.5 \text{ L } = 11.798 \text{ km/L}[/latex]
  • Answer: Joanne’s car travels an average of 11.798 kilometres per litre of gas.

 

  1. Three villages are organizing a feast in Prince Rupert to celebrate the start of the All Native Basketball Tournament (ANT). The total cost for the feast will be $8972.43. How much will each community pay?
    • Estimation:
    • Actual Solution:
    • Answer:
  2. If you can solve 30 math questions in 1.5 hours, how long would it take to solve just one?
    Hint: You want the average time per question. The answer will be less than one hour, so it may be easier to work out the problem using minutes. Change hours to minutes by multiplying the hours by 60 minutes.  [ 1.5 hours × 60 minutes = number of minutes]

    • Estimation:
    • Actual Solution:
    • Answer:
  3. During her shift at the container port, Lucinda used a forklift to load 3675.6 kilograms of crated goods onto four and a half pallets. How many kilograms did she load onto each pallet?
    • Estimation:
    • Actual Solution:
    • Answer:
  4. Murray buys a double-double from Tim Hortons before class every morning and another on his lunch break. On weekends, he only has one each day. He spends $113.40 in four and a half weeks. How much does he pay for each coffee?
    • Estimation:
    • Actual Solution:
    • Answer:

Exercise 9 Answers

  1. Estimation: [latex]9\,000 \div 3 \approx 3\,000[/latex]
    Actual Solution:  [latex]8972.43 \div 3  = 2\,990.81[/latex]
    Answer: Each village will pay $2990.81.
  2. Estimation: [latex]90 \text{ minutes } \div 30 \text{ questions } \approx 3 \text{ minutes}[/latex]
    Actual Solution: [latex]90 \text{ minutes } \div 30 \text{ questions } = 3[/latex]
    Answer: It takes you 3 minutes to solve one math question.
  3. Estimation: [latex]3\,700 \text{ kg } \div 5 \text{ kg } \approx 740[/latex]
    Actual Solution: [latex]3\,675.6 \text{ kg } \div 4.5 \text{ kg } = 816.8 \text{ kg}[/latex]
    Answer: Lucinda loaded 816.8 kg onto each pallet.
  4. Step 1:
    How many coffees per week? 12
    How many coffees in 4.5 weeks? 54
    Step 2:
    Estimation: [latex]100 \div 50 = 2[/latex]
    Actual Solution: [latex]113.40 \div 54 = 2.10[/latex]
    Answer: Murray pays $2.10 for each coffee.

4.12: Practice Questions

  1. Find the quotients.
    1. [latex]4\enclose{longdiv}{17.6}[/latex]
    2. [latex]0.3\enclose{longdiv}{396}[/latex]

     

  2. Divide and round the quotient.
    1. To the nearest tenth:
      [latex]2.3\enclose{longdiv}{10.4}[/latex]
    2. To the nearest hundredth:
      [latex]0.12\enclose{longdiv}{0.4739}[/latex]

     

  3. Find the quotients.
    1. [latex]51 \div 10 =[/latex]
    2. [latex]81.81 \div 100 =[/latex]
    3. [latex]62.811 \div 1\,000 =[/latex]

     

  4. Solve the following word problems.
    1. A train travelled 252.5 km in 4.25 hours. What was its average speed in kilometres per hour?
      • Estimation:
      • Actual Solution:
      • Answer:
    2. The office manager ordered t-shirts for the staff for Orange Shirt Day. The shirts cost $181.30 in total. How much should the manager charge each of the fourteen staff members for a shirt?
      • Estimation:
      • Actual Solution:
      • Answer:

4.12: Practice Answers

  1. Find the quotients.
    1. 4.4
    2. 1320

     

  2. Divide and round the quotient.
    1. 4.5
    2. 3.95

     

  3. Find the quotients.
    1. 5.1
    2. 0.8181
    3. 0.062811

     

  4. Solve the following word problems.
    1. Answers.
      • Estimation: [latex]250 \text{ km } \div 5 \text{ hours } \approx 50 \text{ km/hr}[/latex]
      • Actual Solution: [latex]252.5 \text{ km } \div 4.25 \text{ hours } = 59.411764 \text{ km/hr}[/latex]
      • Answer: The average speed is 59.41 kilometres per hour.
    2. Answers.
      • Estimation: [latex]$180 \div 15 \approx $12[/latex]
      • Actual Solution: [latex]$181.30 \div 14 = $12.95[/latex]
      • Answer: The manager should charge each team member $12.95.

Attribution

This chapter has been adapted from Topic A: Dividing Decimals in Adult Literacy Fundamental Mathematics: Book 4 – 2nd Edition (BCcampus) by Katherine Arendt, Mercedes de la Nuez, and Lix Girard (2023), which is under a CC BY 4.0 license.

License

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Intermediate PreAlgebra: Building Success Copyright © 2024 by Kim Tamblyn, TRU Open Press is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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