Skill: Multiply a 2-digit number by a 1-digit number using models
Explanation and Free Practice Resources
A two-digit quantity multiplied by a one-digit quantity can be decomposed by place value: for example, . Arrays, area models, and base-ten representations show the equal groups, partial products, and regrouping of ten ones into a ten, supporting accurate interpretation of the product rather than treating digits independently. This scope does not include multiplying two two-digit numbers or applying a fully generalized multi-digit algorithm.
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Detailed Explanation: Multiply a 2-digit number by a 1-digit number using models
To multiply a 2-digit number by a 1-digit number, break the 2-digit number into tens and ones. Then multiply each part and add the partial products.
Example:
Think of this as 4 equal groups of 23:
Break into :
Use an area model:
Now multiply each part:
Add the partial products:
So,
The ones can also be regrouped as ten and ones. Then tens plus ten is tens, with ones left. That makes .
Learn by doing: Multiply a 2-digit number by a 1-digit number using models
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Practice:
Multiplication Area Model - Twenties to Total
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Download/Modify Free Grade 3 'Multiply a 2-digit number by a 1-digit number using models' Worksheet
Print this free 'Multiply a 2-digit number by a 1-digit number using models' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Multiplication Area Model - Twenties to Total
- Multiplication Area Model - Teens to Total from Sum
- Multiplication Area Model - Teens to Total
- Multiplication Area Model - Twenties to Total from Sum
- Multiplication Area Model - Twenties to Tens Product
- Multiplication - Tens, Hundreds, Thousands
- Multiplication - Tens, Hundreds, Thousands - Columns
Units Teaching This Skill
These adaptive units introduce, teach, or reinforce this skill (Multiply a 2-digit number by a 1-digit number using models) through scaffolded problems that grow in difficulty as concepts are understood.