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Estimating adding decimals

October 17, 2017
by
Khan Academy
YouTube video player
Estimating adding decimals

TL;DR

Learn how to estimate the addition of decimals by rounding to the nearest whole number and getting close to the actual answer.

Transcript

  • [Instructor] What we're going to do in this video is get some practice estimating adding decimals. Here it says 12.93 plus 6.1 is approximately equal to, this little squiggly equal sign means approximately equal to, so try to estimate this and pick the right choice. Pause the video and try to do that. Alright, now let's work through this together... Read More

Key Insights

  • #️⃣ Estimating addition of decimals requires rounding the numbers to the nearest whole number.
  • 🛝 Rounding down on one number and rounding up on another helps in getting reasonably close to the actual answer.
  • 🛝 Precision can be increased by rounding to one decimal place before rounding to the nearest whole number.
  • 🍹 Comparing the estimate to the given choices or known sums can help in verifying the accuracy of the estimation.

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Questions & Answers

Q: How can you estimate the addition of decimals?

You can estimate the addition of decimals by rounding the numbers to the nearest whole number and then performing the addition. Rounding down on one number and rounding up on another helps in getting close to the actual answer.

Q: Why is it important to be careful when rounding in estimation?

It is important to be careful when rounding in estimation because if you consistently round down or round up on both numbers, the estimate might diverge further from the actual answer.

Q: How can you estimate the addition of decimals with more precision?

To estimate the addition of decimals with more precision, you can round the numbers to one decimal place and then perform the addition. This gives a more refined estimation before rounding to the nearest whole number.

Q: How can you determine if your estimation is close to the actual answer?

You can determine if your estimation is close to the actual answer by comparing it to the given choices. If one of the choices matches your estimate, it is likely to be the correct answer. Additionally, comparing the estimate to a known sum (e.g. 3+5=8) can help narrow down the choices.

Summary & Key Takeaways

  • The video teaches how to estimate the addition of decimals by rounding the numbers to the nearest whole number.

  • By rounding down on one number and rounding up on another, the estimates will be close to the actual answer.

  • Multiple examples are provided to practice estimation.


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