Dividing whole numbers with decimal quotients

Students learn to divide whole numbers with decimal quotients.

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The students learn to divide whole numbers with a decimal number as the outcome.

CCSS.Math.Content.5.NBT.B.7

Students will be able to divide two whole numbers for which the outcome is a decimal number.

The students drag the fractions to the matching decimal numbers.

Show the problem 26 ÷ 4. Explain that you are first going to determine how many times the divisor fits into the whole number. In this case that is 6 × 4 = 24. Next you subtract this from the whole number (26 - 24 = 2). You now have a remainder of 2 left over. You divide this remainder again by the divisor (4). 2 ÷ 4 = 2//4. The decimal number that matches 2//4 is 0.5. Finally you add the outcomes together for the answer: 6 + 0.5 = 6.5. Practice the next problem together with the students. For this you can write down the calculations under each step of the process. The students solve the next three problems on their own. Show the story problem and explain that you must first take the problem out of the story (283 ÷ 20=). Next you see how many times the divisor fits in the whole number (14 × 20 = 280). Subtract these from each other (283 - 280 = 3). Divide the remainder by the divisor (3 ÷ 20 = 3//20, 3//20 = 0.15). Now add the outcomes together for the answer (14 + 0.15 = 14.15). The students solve the next two story problems on their own.

Check whether the students can divide whole numbers with a decimal quotient by asking the following question:

- What steps do you take to solve a division problem with whole numbers with a decimal quotient?

The students test their understanding of dividing whole numbers with decimal quotients through ten exercises. Each of the exercises involves a division problem with two whole numbers that results in a decimal number as the quotient. For some of the exercises the students have multiple answers to choose from, and for others they must produce the answer on their own. Some of the exercises are story problems.

Discuss once again the importance of being able to divide whole numbers with a decimal quotient. As a closing activity the students can work in groups of four. Have each group form pairs. Each pair comes up with a division problem with whole numbers, that has a decimal number as the quotient. Once they have the problem, they check the answer and trade their problem with the other pair. Now they try to solve the problem that the other pair of students made.

Have students that have difficulty with dividing whole numbers with decimal quotients first practice converting fractions to decimal numbers and vice versa.

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