Dividing a number greater than 1,000 by a number <10
Students learn to divide a number greater than 1,000 by a number less than 10.
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General
The students learn to divide a number greater than 1,000 by a number less than 10.
Standards
CCSS.Math.Content.4.NBT.B.6
Learning objective
Students will be able to divide a number greater than 1,000 by a number less than 10 without remainder.
Introduction
The students solve the division problems with numbers to 1,000.
Instruction
Explain that in division problems with a number greater than 1,000 you first see what number from the table of the divisor is the closest to but less than the dividend. For the problem 9936 ÷ 3 you are looking for the number that takes the largest number away from the dividend. 3 × 3 = 9. So 3,000 × 3 = 9,000. Subtract 9,000 from 9,936. Now you still have 936 left over. Now you also know that 300 × 3 = 900. Now solve the problem 936 - 900 = 36. Next you do 12 × 3 = 36, 36 - 36 = 0. Now you add 3,000, 300 and 12 together for your answer (3312). Have the students solve the division problems on their own. Then walk them through the steps of solving a story problem.
Check whether the students can divide a number greater than 1,000 by asking the following question:
- What steps do you follow to solve the problem 9,999 ÷ 9?
Quiz
The students test their understanding of dividing a number greater than 1,000 by a number less than 10 through ten exercises. For some of the exercises the students must choose from possible answers to a division problem, and for others they must provide the answer on their own. Some of the exercises are story problems.
Closing
Discuss once again the importance of being able to divide a number greater than 1,000 by a number less than 10. As a closing activity the students can drag the money to visualize the given division problems.
Teaching tips
Have students that have difficulty dividing a number greater than 1,000 first practice with the division tables and dividing a number to 1,000.
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