Dividing by Decimals Word Problems
Explain division by a decimal using a clearly labeled group size.
Teaching notes for parents and teachers
How to teach it
Show full and partial groups in the original units. Then scale both numbers together to make the division easier.
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 groups use 0.9 + 0.9 = 1.8 units. The remaining 0.45 is half of 0.9, so it contributes another half-group. The answer is 2.5 groups. The empty dashed half shows the size of a complete third group; it is not part of the given total.
Ask your student
Why must both numbers change by the same factor?
If your student needs help
If the student changes only the divisor, compare the new model with the original total.
Choosing and using the worksheet
Each set includes two divisors below one and two above one. Predict whether the quotient will be numerically larger or smaller than the dividend before calculating. This prediction compares the quotient with the dividend; it does not say whether the quotient itself is above or below one.
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 why both quantities must use the same scale. Multiply the answer by the original group size to check 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 problemsDividing Decimals by Whole Numbers Word Problems
Measure how many full and partial groups fit in a decimal amount. Use exact decimal quotients and a multiplication check.
4 problems · Answer key included
More about division · Grade 5 worksheets
Grade 5 selected skill connection: 5.NBT.B.7 (selected measuring-group division through hundredths; non-whole decimal divisors below and above one; exact non-whole quotients). See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.