Multiplying Decimals Worksheets – Tenths by Tenths
Use an area model to explain why tenths times tenths gives hundredths.
Teaching notes for parents and teachers
How to teach it
Shade tenths in each direction on a unit square. Count the overlapping hundredths, then connect the model to the written product.
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.
Build the idea with a hundredths square. Divide one whole square into ten equal columns and ten equal rows. Six columns span six tenths of the width. Four rows span four tenths of the height.
The overlapping rectangle covers 4 rows × 6 cells = 24 cells. Each cell is one hundredth of the whole square. Therefore 0.6 × 0.4 = 0.24. The other cells are unshaded; the square still represents one whole.
Ask your student
How many equal small squares make one whole?
If your student needs help
If the decimal point is misplaced, compare the answer with the shaded portion of the square.
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
Choose one problem and explain the place value of its product. Accept equivalent final-zero forms, and use an estimate to check its size before starting another set. Next, use the decimal scaling word problems to compare ribbon lengths and explain when multiplying makes an amount smaller or larger.
Word problemsAdding and Subtracting Decimals Word Problems
Combine cable lengths or find what remains, using place value through hundredths.
4 problems · Answer key included
Calculation practiceAdding Decimals to Hundredths Worksheets
Align decimal points and exchange ten hundredths for one tenth.
15 problems · Answer key included
Calculation practiceSubtracting Decimals to Hundredths Worksheets
Align decimal points and rename tenths and hundredths before subtracting.
15 problems · Answer key included
Calculation practiceDividing Decimals Worksheets – Tenths by Tenths
Scale both numbers together, divide exactly, and check with multiplication.
8 problems · Answer key included
Word problemsDecimal Scaling Word Problems
Compare ribbon lengths using decimal multipliers below and above one. Explain the scale and keep exact answers.
4 problems · Answer key included
More about multiplication · Grade 5 worksheets
Grade 5 selected skill connection: 5.NBT.B.7 (selected decimal multiplication using models and place-value reasoning). See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.