Adding whole numbers by their place values | Math | 4th grade | Khan Academy | Summary and Q&A

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August 19, 2016
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Khan Academy
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Adding whole numbers by their place values | Math | 4th grade | Khan Academy

TL;DR

Learn how to add numbers using place value and understand the concept of thousands and tens.

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Key Insights

  • 🥇 Understanding place value is crucial for adding numbers effectively and efficiently.
  • 🌥️ Place value enables us to represent large numbers without writing out every digit.
  • 🧘 Adding numbers using place value involves considering the value of each digit based on its position.
  • 🥇 A place value chart can be used to visualize the addition process and simplify calculations.
  • 🥇 By using place value, we can combine numbers with different place values and obtain accurate results.
  • 👂 Place value eliminates the need to list out all the digits, making addition easier to comprehend.
  • 🥇 The concept of place value is applicable not only to addition but also to other mathematical operations.

Transcript

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Questions & Answers

Q: How can we add 19,000 and 70?

To add 19,000 and 70, we can list out the individual digits and add them one by one, or we can use place value to understand that 19,000 implies three zeros at the end and 70 implies one zero after it. By combining them, we get the answer of 19,070.

Q: What is the advantage of using place value in addition?

Using place value in addition allows us to simplify the process by focusing on the value of each digit and its position. We can avoid listing out every digit and instead understand how the numbers contribute to each place value.

Q: How can we add 5 ten-thousands and 22 thousands?

We can add 5 ten-thousands and 22 thousands by either listing out the individual values and adding them, or by using a place value chart. With the chart, we write 5 in the ten-thousands place and add four zeros behind it, then write 22 in the thousands place and add three zeros. The sum is 72,000.

Q: Why do we use place value to represent numbers?

Place value is used to represent numbers because it allows us to understand the value of each digit based on its position. It simplifies addition and other operations by organizing digits in a systematic way.

Summary & Key Takeaways

  • The video demonstrates how to add 19,000 and 70 to get the result 19,070 by listing out the values in place value and adding them.

  • It explains how the concept of place value can simplify addition, as it allows us to add numbers without listing out each individual digit.

  • The process of adding 5 ten-thousands and 22 thousands is shown both by listing out the values and using a place value chart.

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