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## 6th grade (Eureka Math/EngageNY)

### Unit 3: Lesson 1

Topic A: Understanding positive and negative numbers on the number line- Introduction to negative numbers
- Intro to negative numbers
- Negative numbers on the number line
- Interpreting negative numbers
- Negative decimals on the number line
- Negative decimals on the number line
- Decimals & fractions on the number line
- Negative fractions on the number line
- Missing numbers on the number line examples
- Missing numbers on the number line
- Number opposites
- Number opposites
- Number opposites
- Negative symbol as opposite
- Negative symbol as opposite
- Number opposites review

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# Decimals & fractions on the number line

We're mixing it up by placing both fractions and decimals on the same number line. Great practice because you need to move effortlessly between the two. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- what is a number line?(2 votes)
- do you live under a rock(5 votes)

- How does he make all these videos?(5 votes)
- Could I put a rational number in a number line?(5 votes)
- But what about something like 9/20 how do you put it on the number line?(5 votes)
- That's easy....you divide the space between 0 and 1 in 200 equal parts and then mark the 9th part. That represents 9/20.(4 votes)

- How Long Can A Number Line Be?(4 votes)
- Since numbers go on for infinity, a number line is also infinite, we usually fit it into our notebooks and textbooks by labeling down the numbers we are going to use, and then making an arrow at both of the ends in a number line to indicate that the numbers go on for infinity(3 votes)

- Wait So 2 1/4 would be the same as 2.4?(2 votes)
- No, it wouldn't because 0.4 is equal to 4/10 or 2/5 which is not the same as 1/4.(3 votes)

- I'm getting the hang of this, but

when I'm near perfect it always gives me a trick

question.(3 votes) - What is a decimal(2 votes)
- A decimal shows parts of a whole and is represented by a . such as .5.(3 votes)

- could infinity be the number line or be ablo to plot(3 votes)
- Infinity Is always on the number line because the lines that go forever go on for infinity so Infinity is the number line yeah How fasinating!(1 vote)

- what would infinity times infinity equal to(2 votes)
- infinity . I've Never thought of that before . I believe that it would be higher than the 2 infinities before . Way Higher than the first to but it still could be infinite but higher for example : 100000000000 other be: 10000000000000: it would become a bigger amount then before . That's Probably it for now .My answer! Thx for Reading this answer from me!(2 votes)

## Video transcript

- [Voiceover] Plot the following
numbers on the number line. The first number we have here is five, and so five is five to the right of zero, five is right over there. That's our five. Then we get 1/3. 1/3. So 1/3 is between zero and one. We can actually split this into thirds. So that would be 1/3, 2/3,
and then 3/3, which is one, so 1/3 is going to sit right over there. It's 1/3 of the way from
zero to one, that's 1/3. Let me write that. That's
1/3 right over there. Then we have negative 1.2. I'll
do that in this blue color. Negative 1.2. So, negative
one is right over here. This is more negative than negative one. It's negative 1.2. It's negative
one, and then another .2, so it's going to be right over here. This is negative 1.2. Zero is pretty straight forward.
Zero is right over there. It's even labeled for us at zero. Five was labeled for us too at five. Then we have negative two and 1/4. So let's go to negative two. Negative two is here, and it's going to be more negative than negative two. It's negative two and then
another another negative 1/4. So it's negative two, and then we go 1/4 of the way to negative three. So negative 2 and 1/4 is
going to be right over here. So negative two and 1/4. And then finally we have 4.1. 4.1. So four is right over here. .1 is another tenth greater than four, another tenth on the way to five. So four and 1/10 is going
to be right over here. 4.1. 4.1. And we are done.