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Mastering Multiplication: 2-Digit by 1-Digit with Partial Products
To reinforce your understanding and test yourself, download our flashcards or watch the practice video we've created. These resources will help you practice the method and ensure you master multiplying larger numbers with ease.
Guide to Multiplying 2-Digit by 1-Digit with Partial Products
Breaking Down the Numbers
To multiply a 2-digit number by a 1-digit number, start by understanding the place values. For example, in the number 37:
3 is in the tens place, representing 30.
7 is in the ones place, representing 7.
Applying the Distributive Property
The distributive property helps simplify multiplication by breaking down the numbers:
Split the 2-digit number into tens and ones. For 37, this means 30 and 7.
Multiply each part by the 1-digit number separately.
Using 37 x 6 as an example:
Multiply the tens: 30×6=18030 \times 6 = 18030×6=180
Multiply the ones: 7×6=427 \times 6 = 427×6=42
Adding the Partial Products
Next, add the results of these multiplications together:
180+42=222180 + 42 = 222180+42=222
Step-by-Step Approach
Write the 2-digit number and the 1-digit number.
Break down the 2-digit number into its tens and ones.
Multiply each part by the 1-digit number.
Add the partial products to get the final result.
By following this method, you can easily multiply any 2-digit number by a 1-digit number, ensuring accuracy and understanding of the multiplication process.
The best online source for learning how to multiply 2-digit numbers by 1-digit numbers using partial products is Khan Academy. Their thorough explanation and step-by-step approach make it easy to understand and apply this method. Below, you'll find an embedded video from Khan Academy that breaks down the process for you.