Example: 2-digit times 2-digit | Multiplication and division | Arithmetic | Khan Academy | Summary and Q&A

TL;DR

Learn how to compute 23 times 44 using the traditional multiplication method with carrying.

Key Insights

• 🫥 The dot in multiplication signifies the operation, and it can be written in different ways, such as parentheses or without any symbol.
• 🥇 When multiplying by a digit in the tens or higher place, zeroes may be added to maintain proper place value.
• ✖️ The traditional multiplication method involves multiplying each digit and carrying over if necessary.
• 🥇 Place value understanding is crucial when performing multiplication.
• 🪜 The overall process involves multiplying digits, carrying over, and adding the products to obtain the final result.
• ✖️ The steps in multiplication can be visualized vertically to simplify the calculation.
• 🍹 The sum of the products gives the final result of the multiplication.

Transcript

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Questions & Answers

Q: How do you recognize the multiplication symbol in the equation?

In the equation 23 x 44, the dot between the numbers signifies multiplication. It could also be represented as 23(44) or (23)(44), which imply multiplication as well.

Q: How do you start multiplying the digits?

To multiply 4 (ones place) by 23, you multiply 3 (from 23) by 4, which equals 12. Write down 2 as the ones place digit and carry over 1 to the tens place.

Q: Why is a zero added when multiplying by the tens place digit?

When multiplying by a tens place digit, such as 40, a zero is added to maintain correct place value. This ensures that the product of 4 times 23 is added correctly.

Q: How do you calculate the product of 4 times 23?

Multiply 4 by 3, which equals 12. Write down 2 as the tens place digit and carry over 1 to the hundreds place. Then, multiply 4 by 2, which equals 8, and add the carried over 1 to get 9.

Summary & Key Takeaways

• The dot in the equation 23 x 44 represents multiplication.

• Multiplication is done vertically, with the numbers lined up.

• The process involves multiplying each digit and carrying over if necessary.