IM 6.5.12 Lesson: Dividing Decimals by Whole Numbers
Find each quotient mentally.
[math]80\div14[/math]
[math]12\div4[/math]
[math]1.2\div4[/math]
[math]81.2\div4[/math]
[size=150]To find [math]53.8\div4[/math] using diagrams, Elena began by representing 53.8.[br][br][img]data:image/png;base64,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[/img][br][br]She placed 1 ten into each group, unbundled the remaining 1 ten into 10 ones, and went on distributing the units.[br][br]This diagram shows Elena’s initial placement of the units and the unbundling of 1 ten.[/size][br][br][img]data:image/png;base64,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[/img][br][br]Complete the diagram by continuing the division process. How would you use the available units to make 4 equal groups?[br][br]As the units get placed into groups, show them accordingly and cross out those pieces from the bottom. If you unbundle a unit, draw the resulting pieces.
What value did you find for [math]53.8\div4[/math]? Be prepared to explain your reasoning.
Use long division to find [math]53.8\div4[/math]. Check your answer by multiplying it by the divisor 4.
Use long division to find [math]77.4\div5[/math].If you get stuck, you can draw diagrams in the app below or use another method.
A distant, magical land uses jewels for their bartering system. The jewels are valued and ranked in order of their rarity. Each jewel is worth 3 times the jewel immediately below it in the ranking. The ranking is red, orange, yellow, green, blue, indigo, and violet. So a red jewel is worth 3 orange jewels, a green jewel is worth 3 blue jewels, and so on.[br][br]A group of 4 craftsmen are paid 1 of each jewel. If they split the jewels evenly amongst themselves, which jewels does each craftsman get?
Analyze the dividends, divisors, and quotients in the calculations, and then answer the questions.
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[/img][br]Complete each sentence. In the calculations shown:[br][/size][br]Each dividend is ______ times the dividend to the left of it.
Each divisor is ______ times the divisor to the left of it.
Each quotient is _____________________ the quotient to the left of it.
Suppose we are writing a calculation to the right of 72,000 ÷ 3,000. Which expression has a quotient of 24? Be prepared to explain your reasoning.
Explain your reasoning.
Suppose we are writing a calculation to the left of [math]72\div3[/math]. Write an expression that would also give a quotient of 24. Be prepared to explain your reasoning.
Decide which of the following expressions would have the same value as 250 ÷ 10. Be prepared to share your reasoning.
[math]250\div0.1[/math]
[math]25\div1[/math]
[math]2.5\div1[/math]
[math]2.5\div0.1[/math]
[math]2500\div0.01[/math]
[math]0.25\div0.01[/math]
IM 6.5.12 Practice: Dividing Decimals by Whole Numbers
Here is a diagram representing a base-ten number. The large rectangle represents a unit that is 10 times the value of the square. The square represents a unit that is 10 times the value of the small rectangle.
[img]data:image/png;base64,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[/img][br][size=150]Here is a diagram showing the number being divided into 5 equal 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[/img][br]If a large rectangle represents 1,000, what division problem did the second diagram show? What is its answer?
If a large rectangle represents 100, what division problem did the second diagram show? What is its answer?
If a large rectangle represents 10, what division problem did the second diagram show? What is its answer?
Explain why all of these expressions have the same value.
[table][tr][td][math]4.5\div0.09[/math][/td][td][/td][td][math]45\div0.9[/math][/td][td][/td][td][math]450\div9[/math][/td][td][/td][td][math]4500\div90[/math][/td][/tr][/table]
What is the common value?
Use long division to find each quotient.
[math]7.89\div2[/math]
[math]39.54\div3[/math]
[math]0.176\div5[/math]
[size=150]Four students set up a lemonade stand. At the end of the day, their profit is $17.52. How much money do they each have when the profit is split equally? Explain your reasoning or show your reasoning below.[/size]
A standard sheet of paper in the United States is 11 inches long and 8.5 inches wide. Each inch is 2.54 centimeters. How long and wide is a standard sheet of paper in centimeters?
A standard sheet of paper in Europe is 21.0 cm wide and 29.7 cm long. Which has the greater area, the standard sheet of paper in the United States or the standard sheet of paper in Europe? Explain your reasoning.