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Ordering decimals

May 15, 2019
by
Khan Academy
YouTube video player
Ordering decimals

TL;DR

Learn how to order numbers with decimals by comparing their place values from left to right.

Transcript

  • [Instructor] What we're gonna do in this video is do a few examples ordering numbers that involve decimals. So let's say that we have the numbers 1.001, 0.113, and 1.101. What I would like you to do is order these numbers from least to greatest. Take out some paper and try to do it on your own before we do it together. All right, now let's do it ... Read More

Key Insights

  • 🗯️ Ordering numbers with decimals involves comparing their place values from left to right.
  • 🛩️ The number with the least value in the leftmost common place value is the smallest.
  • 🥇 If two numbers have the same value in a place value, move to the next place value to find a difference.

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Questions & Answers

Q: How do you order numbers with decimals?

To order numbers with decimals, compare their place values from left to right. Start with the largest place value they have in common and go down to the smallest place value.

Q: What if two numbers have the same value in all place values?

If two numbers have the same value in all place values, move to the next place value and compare. Keep moving to the right until a difference is found.

Q: Can the numbers after the decimal point affect the order?

No, if two numbers have the same place values before the decimal point, the numbers after the decimal point do not affect the order. Only compare the numbers before the decimal point.

Q: Can you provide an example of ordering three numbers with decimals?

Sure! Let's say we have the numbers 0.32, 0.526, and 0.5. First, compare the tenths place value. In this case, 0.32 has less tenths than the other two, so it is the smallest. Next, compare the hundredths place value to determine the order between 0.526 and 0.5.

Summary & Key Takeaways

  • To order numbers with decimals, start by comparing the ones place value. The number with the least ones is the smallest.

  • Move to the next place value if the ones are equal and compare. Repeat this process until all place values have been compared.

  • In each example provided, the smallest numbers were determined by looking at the tenths place value.


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