Can you compare these numbers on a number line? On a number line you have to put numbers from least to greatest in order to make the number line true, so can you put decimal numbers on a number line?

Yes, you can. See the videos at this link:https://www.khanacademy.org/math/arithmetic/arith-decimals/arith-review-decimals-number-line/v/graphing-tenths-from-0-to-1-math-4th-grade-khan-academy

how is 0.0097 less than 0.07

Because the 9 is in the thousandths place, but the 7 is in the hundredths place; and the thousandths place has a lower place value than the hundredths place. In other words, 7 is worth about 7 cents, but 9 is worth slightly less than 1 cent. Example: (1.) .07 x 15 = 1.05 (You only need to to multiply .07 by 15 to go over a dollar.) (2.) .0097 x 104 = 1.0088 (But for this number, you need to multiply it by 104 to go over a dollar.)

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Class 6 (Old)

Course: Class 6 (Old) > Unit 6

Lesson 3: Comparing decimals

Ordering decimals 1

Name: Ordering decimals 1
Uploaded: 2013-12-27T20:42:58Z
Description: Sal orders 5 decimals from least to greatest.

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Sal orders 5 decimals from least to greatest. Created by Sal Khan.

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Emily Mejean the 'Chara'cter
Posted 7 years ago. Direct link to Emily Mejean the 'Chara'cter's post “Can you compare these num...”
Can you compare these numbers on a number line? On a number line you have to put numbers from least to greatest in order to make the number line true, so can you put decimal numbers on a number line?
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(6 votes)
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- Kim Seidel
  Posted 7 years ago. Direct link to Kim Seidel's post “Yes, you can. See the vi...”
  Yes, you can. See the videos at this link:https://www.khanacademy.org/math/arithmetic/arith-decimals/arith-review-decimals-number-line/v/graphing-tenths-from-0-to-1-math-4th-grade-khan-academy
  Comment on Kim Seidel's post “Yes, you can. See the vi...”
  (2 votes)
Jonathan Fowler
Posted 6 years ago. Direct link to Jonathan Fowler's post “how is 0.0097 less than 0...”
how is 0.0097 less than 0.07
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(2 votes)
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- Anthony Fritz
  Posted 6 years ago. Direct link to Anthony Fritz's post “Because the 9 is in the t...”
  Because the 9 is in the thousandths place, but the 7 is in the hundredths place; and the thousandths place has a lower place value than the hundredths place. In other words, 7 is worth about 7 cents, but 9 is worth slightly less than 1 cent.
  
  Example:
  
  (1.) .07 x 15 = 1.05 (You only need to to multiply .07 by 15 to go over a dollar.)
  (2.) .0097 x 104 = 1.0088 (But for this number, you need to multiply it by 104 to go over a dollar.)
  Comment on Anthony Fritz's post “Because the 9 is in the t...”
  (4 votes)
27gupuduru
Posted 5 years ago. Direct link to 27gupuduru's post “You make it seem like it'...”
You make it seem like it's so hard
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(3 votes)
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Creamy Candy
Posted 5 years ago. Direct link to Creamy Candy's post “why is the smallest numbe...”
why is the smallest number on the left? Shouldn't it be on the right instead?
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(2 votes)
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- wayne0022
  Posted 5 years ago. Direct link to wayne0022's post “It depends on whether it ...”
  It depends on whether it is in ascending or descending order. If ascending, it's from the smaller (left) to greater (right)
  Eg. 2.02, 2.10, 3.22
  
  If it's descending, then it's from the greater (left) to the smaller(right).
  Eg.4.022, 4.001, 3.9
  
  In the video, it says arrange it from least to greatest which means it's in ascending order.
  Comment on wayne0022's post “It depends on whether it ...”
  (1 vote)
Drew
Posted 5 years ago. Direct link to Drew's post “what if i have two equal ...”
what if i have two equal fractions how do i order them
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(2 votes)
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- apredator504
  Posted 4 years ago. Direct link to apredator504's post “It shouldn't happen as or...”
  It shouldn't happen as ordering means mostly they are different fractions, decimals or numbers.
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  (1 vote)
829858
Posted 5 years ago. Direct link to 829858's post “I’m wondering how to get ...”
I’m wondering how to get to the quiz on this
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Nevergiveup
Posted 4 years ago. Direct link to Nevergiveup's post “When ordering decimals ar...”
When ordering decimals are the tenths and hundredths the main things to look at when you order them?
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(2 votes)
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- Ian Pulizzotto
  Posted 4 years ago. Direct link to Ian Pulizzotto's post “Line up the decimal point...”
  Line up the decimal points first (either written down or mentally). Insert 0’s as needed for missing digits (either written down or mentally).
  
  Digits in columns farther to the left are more important than digits in columns farther to the right. So for example, units digits are more important than tenths digits, which in turn are more important than hundredths digits.
  
  So start at the leftmost column and compare digits. Only if there are any ties, go one column to the right only to break the ties. If are still ties, go another column to the right only to break the ties. Continue going to the right until all ties are broken, or until there are no more columns of digits.
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  (1 vote)
mastelm
Posted 9 years ago. Direct link to mastelm's post “I don't want a video i ju...”
I don't want a video i just want "missions"
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(1 vote)
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kaycee.thompson
Posted 8 years ago. Direct link to kaycee.thompson's post “i keep doing it. and i al...”
i keep doing it. and i always have at least 1 wrong!:((:
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- Dayanna Salas Celestino
  Posted 8 years ago. Direct link to Dayanna Salas Celestino's post “Try your best and then do...”
  Try your best and then do it tomorrow in the Matery Challenge
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kal.bolde
Posted 7 years ago. Direct link to kal.bolde's post “How are you so good ?? Pl...”
How are you so good ?? Please reply as soon as possible, Thank you! Have a good day.
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(1 vote)
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Video transcript

We're asked to order the following numbers from least to greatest, and I encourage you to pause this video and try to think of it on your own. Order these numbers from least to greatest. Well, let's work through it together now. So, none of these numbers have any places, any value to the left of the decimal point. They have no ones here. 0 ones, 0 ones, 0 ones, 0 ones, 0 ones. So let me then go to the next decimal place to the right. So I'm starting with the largest decimal places, and then I'm going to successively smaller decimal places. So I'll go to the tenths place. So this one right over here has 0 tenths. This has 0 tenths. This has 0 tenths. This one has 0 tenths. This one has 7 tenths, so this one actually has tenths. This has seven of them, so I'm going to leave this one here as the greatest. We're ordering from least to greatest. Now let's move to the hundredths place. So this one, this one, this one, this one all have 0 tenths. Let's look at the hundredths place. This has 7 hundredths. This has 7 hundredths. This one has 7 hundredths. This has no hundredths as well. This has 0 hundredths, so this one has neither tenths nor hundredths. So this one is going to be the smallest. This one has no tenths, no hundredths. This one actually has tenths. All of these-- these three in the middle-- have no tenths, but they have some hundredths, and they all have the same number of hundredths. 7 hundredths, 7 hundredths, 7 hundredths. So now let's look at the thousandths place. This one has 9 thousandths. This one has 0 thousandths. And this one has 0 thousandths as well. So out of these three, this one is the largest, because this one actually had some thousandths out of these three. Now let's go look at-- we have to pick between these two. Both of these have no tenths. Both of them have exactly 7 hundredths. Both of them have no thousandths, but this one has 9 ten thousandths while this one has no ten thousandths. So this one is less than that one. And now I'm done. I think I have ordered the numbers from least to greatest. And the key here is go to the place value that's most significant-- I guess you could say-- that has the most value. So that was the ones place. Compare them on that. Then go to successively smaller place values. Keep going to the right, and keep comparing them, and then you'll be able to order them.