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Questions and Answers
Multiplying a multi-digit number by a single digit involves multiplying each digit of the multi-digit number by the single digit and then adding the ______.
Multiplying a multi-digit number by a single digit involves multiplying each digit of the multi-digit number by the single digit and then adding the ______.
products
To multiply a multi-digit number by a single digit, start by writing the ______ numbers side by side.
To multiply a multi-digit number by a single digit, start by writing the ______ numbers side by side.
multi-digit
When multiplying each digit of the multi-digit number, make sure to ______ up the products of each digit in the correct columns.
When multiplying each digit of the multi-digit number, make sure to ______ up the products of each digit in the correct columns.
line
The final answer is obtained by ______ the products of each digit.
The final answer is obtained by ______ the products of each digit.
To avoid errors, make sure to ______ up the digits correctly and add the products carefully.
To avoid errors, make sure to ______ up the digits correctly and add the products carefully.
Breaking down the multiplication into smaller parts and ______ the products can be helpful for larger multi-digit numbers.
Breaking down the multiplication into smaller parts and ______ the products can be helpful for larger multi-digit numbers.
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Study Notes
Multiplying Multi-digit Numbers by Single Digits
The Basics
- Multiplying a multi-digit number by a single digit involves multiplying each digit of the multi-digit number by the single digit and then adding the products.
- The process is similar to multiplying single-digit numbers, but with an extra step of adding the products.
Steps to Multiply a Multi-digit Number by a Single Digit
- Write the numbers: Write the multi-digit number and the single digit number side by side.
- Multiply each digit: Multiply each digit of the multi-digit number by the single digit number.
- Line up the products: Line up the products of each digit, making sure to place the digits in the correct columns.
- Add the products: Add the products of each digit to get the final answer.
Example: Multiplying a 2-digit number by a single digit
- Multiply 24 by 3:
- Multiply 20 by 3: 60
- Multiply 4 by 3: 12
- Add the products: 60 + 12 = 72
- Final answer: 72
Tips and Tricks
- To avoid errors, make sure to line up the digits correctly and add the products carefully.
- Use the multiplication chart or times tables to help with multiplying single-digit numbers.
- For larger multi-digit numbers, break down the multiplication into smaller parts and add the products.
Multiplying Multi-digit Numbers by Single Digits
The Basics
- Multiplying a multi-digit number by a single digit involves multiplying each digit of the multi-digit number by the single digit and then adding the products.
Steps to Multiply
- Write the multi-digit number and the single digit number side by side.
- Multiply each digit of the multi-digit number by the single digit number.
- Line up the products of each digit, making sure to place the digits in the correct columns.
- Add the products of each digit to get the final answer.
Example
- Multiply 24 by 3: 20 × 3 = 60, 4 × 3 = 12, and 60 + 12 = 72.
Tips and Tricks
- Ensure correct alignment of digits and careful addition of products to avoid errors.
- Use the multiplication chart or times tables to help with multiplying single-digit numbers.
- For larger multi-digit numbers, break down the multiplication into smaller parts and add the products.
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