4 Digit by 1 Digit Multiplication Word Problems
Use an area model to explain multiplication with a four-digit factor.
Teaching notes for parents and teachers
How to teach it
Split the long side into thousands, hundreds, tens, and ones. Label and add the partial areas before introducing the shorter written method.
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.
Length: 4,307 feet. Width: 6 feet.
4,307 × 6 = 25,842
The area is 25,842 square feet.
Ask your student
Why does this partial product have a different place value?
If your student needs help
If a zero is missing, compare the written product with the value of its rectangle section.
Choosing and using the worksheet
Each set contains four rectangle-area stories. Lengths range from 1,000 to 9,999 feet, and widths range from one to nine feet. A width of one is allowed: multiplying by one leaves the numerical value unchanged, while the answer still names square feet. Zero-width rectangles and missing-side questions are not included.
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
Compare the child’s partial products with their compact multiplication for one story. Ask them to name each carried amount by place value. The two-digit area set provides a next comparison: both factors are split there, while only the longer factor needs splitting here.
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More about multiplication · Grade 4 worksheets
Grade 4 selected skill connection: 4.NBT.B.5; 4.MD.A.3 (four-digit by one-digit multiplication in rectangle-area contexts). See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.