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Questions and Answers
What is the first step in multiplying two-digit numbers using long multiplication?
What is the first step in multiplying two-digit numbers using long multiplication?
During long multiplication of two-digit numbers, where do you write the product of multiplying the ones digits?
During long multiplication of two-digit numbers, where do you write the product of multiplying the ones digits?
Which step is unique to multiplying three-digit numbers compared to two-digit numbers using long multiplication?
Which step is unique to multiplying three-digit numbers compared to two-digit numbers using long multiplication?
What action needs to be taken during long multiplication with carry-over from multiplying tens digits?
What action needs to be taken during long multiplication with carry-over from multiplying tens digits?
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Where do you write the product of multiplying tens digits during long multiplication?
Where do you write the product of multiplying tens digits during long multiplication?
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What should be done after multiplying and adding all partial products in long multiplication?
What should be done after multiplying and adding all partial products in long multiplication?
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What is the first step in long multiplication?
What is the first step in long multiplication?
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Which step involves multiplying the hundreds digit of the top number by the hundreds digit of the bottom number?
Which step involves multiplying the hundreds digit of the top number by the hundreds digit of the bottom number?
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What does long multiplication involve?
What does long multiplication involve?
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When multiplying two-digit numbers, where do you write the product of the ones digits?
When multiplying two-digit numbers, where do you write the product of the ones digits?
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What is involved in Step 7 of long multiplication?
What is involved in Step 7 of long multiplication?
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In long multiplication, what is done when multiplying the tens digit of the top number by the tens digit of the bottom number?
In long multiplication, what is done when multiplying the tens digit of the top number by the tens digit of the bottom number?
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Study Notes
Long Multiplication
Long multiplication is a method used to multiply numbers that are difficult to multiply directly. It is a step-by-step process that simplifies the multiplication of large numbers. In this article, we will discuss long multiplication, focusing on the subtopics of multiplying two-digit numbers and three-digit numbers.
Multiplying Two-Digit Numbers
Multiplying two-digit numbers using the long multiplication method involves the following steps:
- Set up the problem: Write the two numbers one above the other, ensuring that the place values align.
- Multiply the ones digit: Multiply the ones digit of the top number (the multiplicand) by the ones digit of the bottom number (the multiplier), and write the product below the ones digit of the multiplier.
- Multiply the tens digit: Multiply the tens digit of the top number by the ones digit of the bottom number, and add the carry-over from the previous step.
- Multiply the tens digit again: Multiply the tens digit of the top number by the tens digit of the bottom number, and write the product below the tens digit of the multiplier.
- Add the partial products: Add the two partial products from steps 2 and 4 to find the final product.
Multiplying Three-Digit Numbers
Multiplying three-digit numbers using the long multiplication method is similar to multiplying two-digit numbers, but with an additional step:
- Set up the problem: Write the two numbers one above the other, ensuring that the place values align.
- Multiply the ones digit: Multiply the ones digit of the top number (the multiplicand) by the ones digit of the bottom number (the multiplier), and write the product below the ones digit of the multiplier.
- Multiply the tens digit: Multiply the tens digit of the top number by the ones digit of the bottom number, and add the carry-over from the previous step.
- Multiply the tens digit again: Multiply the tens digit of the top number by the tens digit of the bottom number, and write the product below the tens digit of the multiplier.
- Multiply the hundreds digit: Multiply the hundreds digit of the top number by the ones digit of the bottom number, and write the product below the hundreds digit of the multiplier.
- Multiply the hundreds digit again: Multiply the hundreds digit of the top number by the hundreds digit of the bottom number, and write the product below the hundreds digit of the multiplier.
- Add the partial products: Add the four partial products from steps 2, 4, 5, and 6 to find the final product.
In summary, long multiplication is a method used to simplify the multiplication of large numbers. It involves breaking down the problem into smaller parts and performing the multiplication in a step-by-step manner. By following the steps outlined above, you can successfully multiply two-digit and three-digit numbers using the long multiplication method.
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Description
Learn about the long multiplication method for multiplying two-digit and three-digit numbers step-by-step. Discover how to set up the problem, multiply the digits, and add the partial products to find the final product. Master the technique of long multiplication with detailed explanations and examples.
