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### Course: 8th grade foundations (Eureka Math/EngageNY) > Unit 7

Lesson 1: Topic A & B: Foundations- Dividing by 2-digits: 7182÷42
- Division by 2-digits
- Decimals & fractions on the number line
- Negative fractions on the number line
- Fraction to decimal: 11/25
- Converting fractions to decimals
- Variables, expressions, & equations
- Testing solutions to equations
- Testing solutions to equations
- Intro to equations

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# Decimals & fractions on the number line

Plotting numbers on a number line is a fundamental math skill that helps visualize numerical values. Key points include identifying whole numbers, fractions, and decimals, and placing them accurately on the line. This skill enhances understanding of number relationships and builds a strong foundation for more advanced math concepts. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- what is a number line?(34 votes)
- A number line is an orderly line of numbers. It helps with understanding the distance between the numbers.(27 votes)

- Can someone please explain the - numbers on the line? I always get that part wrong on the exersise! :P

Please feel free to coment.(48 votes)- «A negative number is any real number that is less than zero. Such numbers are often used to represent the amount of a loss or absence. For example, a debt that is owed may be thought of as a negative asset, or a decrease in some quantity may be thought of as a negative increase. Negative numbers are also used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature.

Negative numbers are usually written with a minus sign in front. For example, −3 represents a negative quantity with a magnitude of three, and is pronounced “minus three”. Conversely, a number that is greater than zero is called positive; zero is usually thought of as neither positive nor negative. The positivity of a number may be emphasized by placing a plus sign before it, e.g. +3. In general, the negativity or positivity of a number is referred to as its sign.»

From http://en.wikipedia.org/wiki/Negative_number(22 votes)

- could infinity be the number line or be ablo to plot(18 votes)
- Let's assume ,

We have plotted infinity in a number line.

Wait a second , do we know what is infinity ?

No we don't . So we can't plot it .

Let's assume,

We have accidently plotted infinity . But I can

say there is more on the number line . I can

plot infinity + 1 , infinity + 2 . So what is infinity .

I don't know .(18 votes)

- has pie ever been put on the numberline starting from 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 2 3 all the way to pi has anyone put a numberline like that in human kind(12 votes)
- no, one of the most rational expressions to calculate pi is 22/7. This expression gets some of the digits of pi correct.(12 votes)

- So is negative numbers like decimals?(15 votes)
- In a sense, negative numbers could be related to decimals because place values of decimal digits involve taking 10 to negative powers.

However, negative numbers do not have to be decimals (for example, -3) and decimals do not have to be negative numbers (for example, 0.2). While negative numbers are below zero, decimals have a fractional part (that is, the part after the decimal point).(11 votes)

- mic quality just went to 2007(13 votes)
- How does he make all these videos?(7 votes)
- Could I put a rational number in a number line?(8 votes)
- But what about something like 9/20 how do you put it on the number line?(7 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.(5 votes)

- wut numer cums afer 1(6 votes)
- I assume it would be some unknown/unwritable irrational number. The next whole number is 2.(5 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.