2-Digit by 1-Digit Multiplication
Use this worksheet to teach 2-digit by 1-digit multiplication. Work through one example with your student before assigning independent practice. The first number has 2 digits, and the second has 1 digit.
Teaching notes for parents and teachers
Use this worksheet to teach 2-digit by 1-digit multiplication. Work through one example with your student before assigning independent practice. The first number has 2 digits, and the second has 1 digit.
How to teach it
Start with an area model or partial products. Name the value of each digit before multiplying, then connect each partial product to its place in the written algorithm.
Examples to explain together
Check by division: 160 ÷ 2 = 80.
Check by division: 162 ÷ 3 = 54.
If your student needs help
If a tens partial product is misplaced, ask what the tens digit represents. Compare multiplying by two with multiplying by twenty.
Check understanding
Have your student estimate the product, then check by dividing by one factor. Discuss whether both checks support the answer.
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
Review one problem together. Ask your student to explain the steps, then use the answer key to check the result. Revisit a difficult step before assigning another set.
About 2-Digit by 1-Digit Multiplication
Practice 2-digit by 1-digit multiplication. Focus on accuracy before speed. Use the space provided to record the steps you need. The first number has 2 digits, and the second has 1 digit.
How to practice
Use known multiplication facts and place value together. Multiply the top number by each digit of the lower number, starting with the ones. Regroup when a product exceeds nine. If the lower number has more than one digit, write a separate partial product for each place and add the partial products. A tens digit represents tens, not ones.
Examples to explain together
Check by division: 160 ÷ 2 = 80.
Check by division: 162 ÷ 3 = 54.
If your student needs help
A partial product for the tens place must be shifted one place. Keep a carried amount separate from the next multiplication fact, then add it once.
Check understanding
Estimate using nearby convenient numbers. You can also divide the product by one factor to recover the other.
Before independent practice
Work through one example together. Ask the student to explain one step, then try a few questions independently. Review the cause of an error before repeating the calculation. Compare the student’s written steps with the answer key where worked steps are provided; a correct answer alone does not show which strategy was used.