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### Course: Arithmetic (all content) > Unit 6

Lesson 3: Decimals on the number line# Plotting decimal numbers on a number line

Sal finds decimals with hundredths on a number line.

## Want to join the conversation?

- How do you get on the exercise?(13 votes)
- click the blue button in the corner saying "Up next exercise"(1 vote)

- How can fractions be converted into decimals(3 votes)
- With division, you see how many a number goes into that number. Which you most likely see a big number on the inside and then a small one on the inside. But to get a decimal that changes a small number on the inside and a big one on the outside. https://www.khanacademy.org/math/arithmetic/arith-decimals/arith-review-decimals-to-fractions/v/converting-fractions-to-decimals-ex2. You may find this helpful.(18 votes)

- at2:51I don't get it don't you just do 2.8 2.9 3.0 I'm confused?(10 votes)
- I know he's plotting numbers on a number line, but are you actually able to do that for a lesson?(9 votes)
- yes, some questions let you do that.(2 votes)

- we learned about tenths in the first tutorial(9 votes)
- I am starting to understand(7 votes)
- Is there somthing as an infinerty fraction?(6 votes)
- so basically when we work on number lines, there is some decimals?(3 votes)
- There are infinites decimals when we're talking about number lines, but we don't show them every time, but between two numbers there are infinites other numbers.(3 votes)

- a fraction of a number(3 votes)

- hey do you use decimals in your normal life.(3 votes)

## Video transcript

- [Voiceover] We're asked to move the orange dot to 5.90 on the number line, or you could view this as 5 90/100, or 5 9/10. All right, so let's see, this is 5.8, and then this is 6.0. One way to think about it is 5.9 is exactly halfway between 5.8 and 6.0, and this is written as 5.90, but we could view this as 5.9, so it's going to be exactly halfway. Now, one interesting
thing to think about is what do each of these
tick marks represent? Well, if this is 5.8, and if 1/10 higher than 5.8 is 5.9 over here, and then 1/10 higher than that is 6.0, so from here to here is 1/10, and then from here to
here is another 1/10. Then they've divided each 1/10 into one, two, three, four, five, six, seven, eight, nine, 10 sections, so each of these represent 1/10 of 1/10, or 1/100, so for example, this would be 5.81, 5.82, 5.83, 5.84, 5.85, 5.86, 5.87, 5.88, 5.89, 5.90. So either way, I think we got it. All right, let's keep
doing some more of these. Move the orange dot to 2.87 on the number line. All right, this is interesting. So, this is 2.8. That's 3.0. Halfway in between would be this longer hash mark, or this longer tick mark, right over here. This would be 2.9. So 2.87, this is just like we saw in the last example. Each of these is 1/100, so this is 2.8, this would be 2.81, 2.82, 2.83, 2.84, 2.85, 2.86, 2.87, and we could just check. This would be 2.88, 2.89, 2.9, or 2.90, which is exactly halfway between 2.8 and 3.0, so I'm feeling good about that. Let's check our answer. We got it right. You know, after you get a question right, it doesn't hurt to look at the hints at that point, so let's just see how they tackled it. So, they say, "Above we've drawn "the number line from 2.8 to 3.0," and they divided into 20 equal pieces. Yup, that looks right. Let's see their next hint. So, they say that piece of the line is 3.0 minus 2.8. That's gonna be 2/10, and then you divide by 20, is 0.1. So, that's another way that
they're just saying that, "Hey, each of these is 1/100," but we already saw that. 2.81, 2.82, 2.83, 2.84, 2.85, 2.86, 2.87. Let's just do another one. The hints actually, I think,
keep going after that. So (mumbles) I encourage
you to look at the hints. See if you can make sense of them after you try the exercise. So, let's try another one. Let's do one more. Move the orange dot to
0.27 on the number line. Well, this is 0.2, this is 0.3, so going from here to here is 1/10, and then they've divided that 1/10 into 10 sections, so each of these is 1/10 of 1/10, which is 1/100. So, this is 2/10 and 0/100, 2/10 and 1/100, 2/10 and 2/100, 2/10 and 3/100, 2/10 and 4/100, 2/10 and 5/100, 2/10 and 6/100, 2/10 and 7/100. This is 2/10 and 7/100. Another way you could view
it is, this is 20/100. 2/10 is the same thing as 20/100. 21/100, 22/100, 23/100, 24/100, 25/100, 26/100, 27/100. All right. Check our answer, and
let's just see the hints. They say "10 equal pieces." They show us that right over here. They actually labeled it. Anyway, hopefully this helps. I encourage you to go try
this exercise out now.