Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.NOS.3

Lesson 2.7Divide Decimals Using an Algorithm

Set B · Version ASecond form · supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can divide with decimals by making the divisor a whole number first.

Why This Matters A school bought new math workbooks as shown in the order form. What is the cost of each workbook?

RememberDivide Decimals Using an Algorithm

Decimal Division Algorithm Dividing splits a total into equal groups. When you divide by a decimal, first move the point to make the divisor a whole number — then run the same long-division cycle: divide, multiply, subtract, bring down.

  1. Make the divisor a whole number: slide its decimal point to the right.
  2. Slide the dividend's decimal point to the right the same number of places.
  3. Write the answer's decimal point in the column directly above the dividend's point, then divide as whole numbers using Divide → Multiply → Subtract → Bring Down.

Words: Dividend (Dividendo)Divisor (Divisor)Quotient (Cociente)Decimal Division Algorithm (Algoritmo de división decimal)Equivalent division (División equivalente)

Part 1Practice the skillshow every step
  1. 1Circle the letter of the best answer. Show how you know.

    What is 84 ÷ 4?

    1. A12
    2. B20
    3. C21
    4. D336
    484
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
  2. 2Circle the letter of the best answer. Show how you know.

    What is 396 ÷ 3?

    1. A13.2
    2. B122
    3. C132
    4. D133
    3396
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
  3. 3Circle the letter of the best answer. Show how you know.

    What is 936 ÷ 8?

    1. A107
    2. B116
    3. C117
    4. D127
    8936
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
Part 2Apply itreal-world problems
  1. 4Circle the letter of the best answer. Show how you know.

    A baker has 50 rolls. Each box holds 6 rolls. How many boxes are filled, and how many rolls are left over?

    1. A6 boxes, 2 left over
    2. B8 boxes, 2 left over
    3. C8 boxes, 4 left over
    4. D9 boxes, 4 left over
    Show your work
  2. 5Circle the letter of the best answer. Show how you know.

    A ribbon is 16.8 feet long. You need to cut it into pieces that are each 2.4 feet long for a craft project. 16.8 ÷ 2.4 = ?

    1. A0.7
    2. B4.2
    3. C7
    4. D70
    Show your work
  3. 6Circle the letter of the best answer. Show how you know.

    A ribbon is 16.8 feet long. You need to cut it into pieces that are each 2.4 feet long for a craft project. Why can you rewrite 16.8 ÷ 2.4 as 168 ÷ 24?

    1. ABecause both divisions use the same digits
    2. BBecause 168 and 16.8 are equal
    3. CBecause you always drop the decimal point
    4. DMultiplying both numbers by 10 keeps the quotient the same
    Show your work

Explain your thinkingWhy does moving the point the same number of places in both numbers give you the same quotient — and why is it worth doing before you start the divide, multiply, subtract, bring down cycle?

Sentence starter Multiplying both numbers by ___ doesn't change the quotient because ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.NOS.3

Lesson 2.7Divide Decimals Using an Algorithm

Set B · Version BSecond form · core practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can divide with decimals by making the divisor a whole number first.

Why This Matters A school bought new math workbooks as shown in the order form. What is the cost of each workbook?

Part 1Practice the skillshow every step
  1. 1Circle the letter of the best answer. Show how you know.

    What is 4.8 ÷ 0.6?

    1. A0.8
    2. B4.2
    3. C8
    4. D80
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    What is 9.45 ÷ 0.9?

    1. A1.05
    2. B9.5
    3. C10.5
    4. D105
    Show your work
  3. 3Circle the letter of the best answer. Show how you know.

    What is 15 ÷ 0.25?

    1. A0.6
    2. B1.5
    3. C6
    4. D60
    Show your work
Part 2Apply itreal-world problems
  1. 4Circle the letter of the best answer. Show how you know.

    A ribbon is 16.8 feet long. You need to cut it into pieces that are each 2.4 feet long for a craft project. If each piece were 2.8 feet instead, how many whole pieces could you cut?

    1. A5
    2. B6
    3. C7
    4. D8
    Show your work
  2. 5Circle the letter of the best answer. Show how you know.

    A ribbon is 7.2 meters long and is cut into 0.8-meter pieces. How many pieces are there?

    1. A7
    2. B8
    3. C9
    4. D10
    Show your work
  3. 6Circle the letter of the best answer. Show how you know.

    Table 1's lunch bill is $15.00. Every sandwich costs $3.75. How many sandwiches did Table 1 order?

    1. A0.25 sandwiches
    2. B4 sandwiches
    3. C11.25 sandwiches
    4. D40 sandwiches
    Show your work

Explain your thinkingWhy does moving the point the same number of places in both numbers give you the same quotient — and why is it worth doing before you start the divide, multiply, subtract, bring down cycle?

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help