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Estimating adding large numbers by rounding

January 18, 2019
by
Khan Academy
YouTube video player
Estimating adding large numbers by rounding

TL;DR

Learn how to estimate the sum of two numbers quickly in your head using rounding techniques.

Transcript

  • [Instructor] Let's say that we run an egg farm, and yesterday, we went out and we collected 398 eggs from the chickens, and then today, we went out and we collected 251 eggs from the chickens. And what we're curious about is, roughly how many eggs do we now have that we've collected over the last two days? Well, there's a few ways we could do tha... Read More

Key Insights

  • ⌛ Estimating addition is a useful tool when you don't have time or resources for exact calculations.
  • 🤕 Rounding numbers to the nearest 10 simplifies the addition process in your head.
  • 🤑 You can choose to round up or down based on the ones place of each number.
  • 👻 Estimating allows you to get a rough idea of the sum without needing to calculate the exact answer.
  • ❓ This technique is particularly handy for mental math and quick estimations in everyday situations.
  • #️⃣ The key is to use rounding to make the numbers more manageable and easy to add mentally.
  • 😚 While the estimated sum may not be precise, it provides a close approximation for practical purposes.

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Questions & Answers

Q: Why is estimating addition useful in certain situations?

Estimating addition is useful when you need to quickly determine a rough sum without precise calculations. It saves time and allows you to make approximate calculations for practical purposes.

Q: How do you round a number to the nearest 10?

To round a number to the nearest 10, look at the ones place. If it's 5 or greater, round up by increasing the tens place by one. If it's less than 5, round down by keeping the tens place as it is.

Q: Can you explain the rounding process for the numbers 398 and 251?

For 398, round it to 400 since it's closer to that than 390. For 251, round it down to 250 as it's less than 5 in the ones place.

Q: What is the estimated sum of 398 and 251?

When you add the rounded numbers, 400 and 250, the estimated sum is 650.

Summary & Key Takeaways

  • In this video, the instructor demonstrates how to estimate the sum of numbers without paper and in your head.

  • The technique involves rounding each number to the nearest 10 and then adding the rounded numbers together.

  • By estimating, you can quickly get a rough idea of the sum without needing the exact calculations.


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