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Rounding decimals on the number line

October 13, 2017
by
Khan Academy
YouTube video player
Rounding decimals on the number line

TL;DR

Learn how to round numbers to the nearest whole number and decimal place using a number line.

Transcript

  • [Instructor] So we are asked to drag the point to 12.5 on the number line, so let's see. Let's see, this is 12, and 12.5 is halfway between 12 and 13 then say say what is 12.5 rounded to the nearest 10? Well, what's cool about this is you can see on the number line that our tens are in this blue hash. So we have 10 and then 20 and we're between 1... Read More

Key Insights

  • 📪 Rounding to the nearest 10 on a number line involves finding the closest ten and selecting either the lower or higher ten, depending on which one the point is closer to.
  • #️⃣ Rounding decimal numbers to the nearest hundredth on a number line follows the same principle, but considering the hundredths place.
  • 🛝 When rounding to the nearest whole number, the digit in the tenths place is crucial in determining whether to round down or up.

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Questions & Answers

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

To round a number to the nearest 10 using a number line, locate the point between the two tens and determine which ten it is closest to. Round down if it is closer to the lower ten, and round up if it is closer to the higher ten.

Q: How do you round a decimal number to the nearest hundredth using a number line?

To round a decimal number to the nearest hundredth using a number line, locate the point between the two hundredths and determine which hundredth it is closer to. Round down if it is closer to the lower hundredth, and round up if it is closer to the higher hundredth.

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

To round a number to the nearest whole number, look at the tenths place. If the digit in the tenths place is less than 5, round down to the lower whole number. If it is 5 or greater, round up to the higher whole number.

Q: How can you determine which whole number a point is closest to on a number line?

To determine which whole number a point is closest to on a number line, examine which whole number the point is closer to when considering the entire number. Compare the point to the neighboring whole numbers and choose the one it is closest to.

Summary & Key Takeaways

  • The video explains how to round numbers to the nearest 10 using a number line, helping to build intuition and understanding of the rounding concept.

  • It demonstrates rounding decimal numbers to the nearest hundredth using the number line method.

  • The instructor provides examples of rounding to the nearest whole number and decimal place, highlighting the process and the reasoning behind it.


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