IM 6.5.12 Lesson: Dividing Decimals by Whole Numbers
Find each quotient mentally.
She placed 1 ten into each group, unbundled the remaining 1 ten into 10 ones, and went on distributing the units.
This diagram shows Elena’s initial placement of the units and the unbundling of 1 ten.
Complete the diagram by continuing the division process. How would you use the available units to make 4 equal groups?
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 ? Be prepared to explain your reasoning.
Use long division to find . Check your answer by multiplying it by the divisor 4.
Use long division to find .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. 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.
Complete each sentence. In the calculations shown:
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 . Write an expression that would also give a quotient of 24. Be prepared to explain your reasoning.