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Decimal Division Models
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Decimal Division Models
A community art fair is packing supplies into equal kits. Use decimal division models to find how much goes in each kit or how many kits can be made. Show your thinking with numbers, words, or a model.
See the Equal Shares
Use the number lines and fraction bars to connect division with equal groups.
1.The fair has 2.4 pounds of clay to divide equally among 3 tables. Which equation and quotient describe the amount each table gets?
- 2.4 ÷ 3 = 0.8 pound
- 2.4 ÷ 3 = 8 pounds
- 3 ÷ 2.4 = 0.8 pound
- 2.4 × 3 = 0.8 pound
2.A number line runs from 0 to 3.6 in four equal jumps. Label the size of each jump to model 3.6 ÷ 4.
3.A box contains 4.8 yards of ribbon shared equally among 6 teams. Complete the model: 4.8 is tenths.
4.A box contains 4.8 yards of ribbon shared equally among 6 teams. Complete the model: tenths shared among 6 teams gives tenths per team.
5.A box contains 4.8 yards of ribbon shared equally among 6 teams. Complete the model: tenths per team is yard.
6.The art fair has 5.4 liters of paint to split equally among 3 stations. Find the amount for each station, then describe how the tenths help you check the answer.
Pack the Kits
Solve each fair-planning problem. Include units in your answers.
7.The organizers have 6.3 pounds of modeling dough. They share it evenly among 7 tables. Draw or describe an area model or number line, then calculate the amount per table.
8.A set of markers costs $1.40. The fair team has $8.40. How many sets can they buy? Write a division equation and check it with multiplication.
9.A 7.8-foot cord is cut into pieces that are each 1.3 feet long. How many full pieces can be cut? Show how multiplying both numbers by 10 makes the division easier.
10.A volunteer says 4.8 ÷ 6 = 0.08 because 48 ÷ 6 = 8. Explain the place-value mistake and give the correct quotient.
Choose, Create, Check
Use a visual model where it helps you explain your reasoning.
11.Which situation is represented by 3.6 ÷ 4 = 0.9? Select the best description.
- 3.6 feet of string shared equally among 4 students
- 4 feet of string shared equally among 3.6 students
- 3.6 feet of string with 4 feet added
- 4 groups each receiving 3.6 feet of string
12.Create a fair-supply story that can be solved with 3.2 ÷ 4. Write the story, solve it, and name the unit in your answer.
13.True or false: If 2.4 is divided equally into 3 groups, the answer must be less than 2.4. Explain your choice using the meaning of division.
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