Dividing Decimals by Whole Numbers Word Problems
Use a measurement model to explain a quotient that includes part of a group.
Teaching notes for parents and teachers
How to teach it
Mark full groups along the total length or amount. Compare the leftover part with the size of one whole group.
Example to work through together
Use the model below as you explain the example. Have your student point to the quantities as you discuss them.
Two full groups use 14 units. The remaining 3.5 units are half of a 7-unit group. The total is therefore 2 + 0.5 = 2.5 groups.
The empty dashed half is a reference showing the size of a complete third group. It is not extra material and is not included in the total of 17.5.
Ask your student
What fraction of one group is still left?
If your student needs help
If the student drops the partial group, include it in a multiplication check of the total.
Make a practice set
Select the worksheet, answer key, or both. When both are selected, the answer key prints after the questions. Keep it separate if you want your student to work independently.
After your student finishes
Ask what the fractional part of the answer measures. Multiply the groups by the full group size to rebuild the total.
Calculation practiceDividing Decimals Worksheets – Tenths by Tenths
Scale both numbers together, divide exactly, and check with multiplication.
8 problems · Answer key included
Word problemsDivision Word Problems: Round Up the Remainder
Find the fewest vans that seat every student. Compare exact division with a remainder that needs one more van.
4 problems · Answer key included
More about division · Grade 5 worksheets
Grade 5 selected skill connection: 5.NBT.B.7 (selected decimal division through hundredths: measure full and partial groups; whole-number divisors from 2 to 10). See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.