### Related Articles:

### Basic Types of Numbers

- The basic types of numbers are
- Natural numbers – Also called the counting numbers and contain the numbers 1, 2, 3, 4, 5, 6, …
- Whole numbers – These include the natural numbers and the number zero. In other words the numbers 0, 1, 2, 3, 4, 5, 6, …
- Integers – These contain the positive, and negative natural numbers as well as zero. In other words the numbers …-3, -2, -1, 0, 1, 2, 3, …
- Rational – The rationals contain all real numbers that can be written as a fraction. This includes numbers with an infinite decimal that have a repeated block of numbers, and numbers with a decimal that stops.
- Irrational – These contain all real numbers than cannot be written as a fraction. This includes numbers with an infinite decimal that do not have a repeated block of numbers.
- Imaginary – These contain an imaginary part “i”
- The natural, whole, rational, and irrational numbers are all types of real numbers.
- A particular number may belong to more than one type. For example, the number 2 is a natural numbers, as well as an integer, a rational, and a real number.
- You can plot numbers onto a number line. In a number line the smaller numbers are written on the left of the larger numbers.
- The absolute value of a number is its distance from zero on a number line.

### Basic Types of Numbers

- 8

− [22/60]

√5

π, [28/9] , 3.5 , √{10}

- 2

[5/15]

√{50}

- 67

− [1/8]

√{100}

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Basic Types of Numbers

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Objectives 0:07
- Basic Types of Numbers 0:36
- Natural Numbers
- Whole Numbers
- Integers
- Rational Numbers
- Irrational Numbers
- Imaginary Numbers
- Basic Types of Numbers Cont. 8:09
- The Big Picture
- Real vs. Imaginary Numbers
- Rational vs. Irrational Numbers
- Basic Types of Numbers Cont. 10:55
- Number Line
- Absolute Value
- Inequalities
- Example 1 13:16
- Example 2 17:30
- Example 3 21:56
- Example 4 24:27
- Example 5 27:48

### Algebra 1 Online Course

### Transcription: Basic Types of Numbers

*Welcome to www.educator.com.*0000

*In this lesson we are to take a look at basic types of numbers.*0002

*We will see that there are many different ways that we can take numbers and start to classify them.*0008

*I will go over all these types of numbers and more in detail as we see how a number gets into each of the groups.*0012

*You will also see how you can represent these numbers on a number line.*0020

*Be handy for say comparing numbers and figure out what it means to take the absolute value of a number.*0024

*We will also see some symbols on how you can compare numbers meaning to our inequalities.*0030

*When it comes to numbers you can really break them down into various different groups and classify them according to their properties.*0039

*The most common types of groups that we can use to classify numbers are the natural numbers, whole numbers,*0046

*integers, rational, irrational and imaginary numbers.*0052

*We will go over each of these groups in more detail.*0057

*In our first group will take a look at the natural numbers.*0064

*These are the numbers that do not contain any fractions or any decimals.*0068

*In fact they are sometimes called the counting numbers because they are some of the first number you learn when counting.*0073

*They contain the numbers 1, 2, 3, 4, 5 and it does go up from there so you know how we do not have a fractions and decimals and no negative numbers here.*0078

*In the next group we would start expanding on a lot of that last list just little bit and we also include the number 0.*0092

*Since we have all of the same numbers that we have before these natural numbers and we have that number 0,*0100

*you could say that all natural numbers are a type of whole number.*0107

*Watching a step in a few different times as we go through these groups of numbers, some numbers end up in more than 1 group.*0112

*An important part of this was that they contain a natural numbers and 0 to be a whole number.*0118

*Alright continuing around, we can also expand on those numbers by looking at the integers.*0126

*The integer is not only includes say the natural numbers but the negatives of all of our natural numbers and 0.*0133

*Again this makes all of our natural numbers and our whole numbers a type of integer.*0141

*You will see from the list that we got some nice numbers on here like -3, -2, - 1.*0148

*There is 0,1, 2, 3, 4 all the way up on that side.*0154

*The rational numbers are probably one of our most important groups.*0161

*These include all numbers that can be written as a fraction.*0166

*Now there is many different types of numbers that you can write as a fraction.*0171

*In fact all the numbers that we just covered previously can easily be turned into a fraction by putting them over 1.*0176

*A harder one says you determine whether you can write them as a fraction or not, or the one's that involve decimals.*0183

*Here is how you can tell if they are rational or not.*0189

*If that decimal terminates that means that stops, then you know you can write it as a fraction therefore it is rational.*0193

*If your decimal goes on and on forever and has a repeated block of numbers, then you may also write those as fractions, they are rational.*0200

*To help you figure out some of these, let us look at a few examples and see why they are all types of rational numbers.*0209

*The first one I'm looking at here is 3/17, we know how this one is already a fraction.*0217

*It is a pretty obvious choice that you can write as a fraction, it is rational.*0224

*This number 4 could have been one of our numbers on our natural number list and it is also one that we can write as a fraction fairly quickly by simply putting it over 1.*0231

*Since we can write as a fraction we know it is a type of rational number.*0246

*Some of the more difficult one, these are the ones that involve decimals.*0251

*In .161616 repeating of this one goes on and on forever and ever but it has about 16 to just keep repeating over and over again.*0255

*That is what I mean by repeated block of numbers.*0266

*Since it has a repeated block, it can be written as a fraction.*0269

*In fact, this one is written as 16/99, I know that it is a type of rational number.*0272

*The next one, 0.245 and then it stops, because it stops this is a type of terminating decimal.*0279

*It can be written as a fraction as well that we can count up the number of places in it and just put it over that number.*0289

*It is tens, hundreds, thousands, written as a fraction.*0296

*Look for these types of numbers when determining out your rational numbers.*0300

*If we know what numbers can be written as a fraction, then we must also talk about the numbers that cannot be written as a fraction.*0309

*These types of numbers are irrational numbers.*0315

*We saw many different types of numbers that could be written as a fraction.*0319

*They seem like they are might not be a whole lot that you can not write as a fraction*0322

*but it turns out there is many common numbers that simply cannot be written as a fraction.*0327

*More of the common ones are roots that cannot be reduced to any further.*0331

*If you have a decimal that goes on forever and does not have a repeated block of numbers in it, then that is a type of irrational number.*0336

*There are also many famous constants which happen to be irrational numbers.*0345

*They show up in many different areas.*0349

*Looking at my examples below to see why they are irrational numbers.*0351

*Here when looking at the square root of 57, I know that this does not reduce.*0357

*That gives you decide to punch this one into the calculator.*0365

*You will see that is has a decimal that just keep going on and on forever, if it does not have a repeated block of number.*0368

*That is how I know that that one is irrational.*0374

*That one is a little bit more clear to see because I can actually look at its decimal and see it has no repeated blocks and yet it goes on and on forever, it is irrational.*0378

*It is a very curious number and the variable it is one of those famous constants.*0388

*Pi is equal to 3.141592 and then it keeps going on and on forever.*0393

*And it does not have a repeated block of numbers in it, I know that it is irrational.*0401

*All the types of numbers we have cover those far are actually types of real numbers.*0409

*There is another group that is completely distinct from those real numbers.*0414

*Those are the imaginary numbers and you can usually recognize those ones because no contain an imaginary part with i in it.*0418

*The reasons why these will be so important is some equations might only have imaginary numbers as solutions.*0426

*We will learn more about these imaginary numbers in some future lessons.*0433

*As I said before, they are completely separate from our real numbers.*0439

*You would not have an imaginary number that also ends up on our list for real numbers, completely different things.*0443

*Here are some examples of some imaginary numbers.*0449

*I'm looking at 2i, I see that it has the (i) right next to it.*0452

*Definitely imaginary, 1/2 + 5/7i, I can see that (i) is in there.*0456

*This is one of our complex numbers but you know it is an imaginary number for sure.*0464

*At the end here I have the square root of -1, I do not see any (i) in there and why it could be an imaginary number.*0470

*We will learn that imaginary numbers come from taking the square root of negative quantities.*0478

*In fact, the square root of -1 is equal to (i), it is actually is an imaginary number.*0484

*To understand why some numbers get to be on multiple groups, you have to take a step back and look at the big picture for this classification.*0491

*I'm trying out a nice diagram so you can see what numbers end up in which groups.*0500

*The most important distinction that you could make between numbers is probably whether they are real or imaginary.*0506

*Since those groups are completely separate.*0512

*Those in the real category we can go further and start breaking that down into many other different types of numbers.*0515

*Again, we do that according to the properties.*0521

*The most important distinction we make is whether we can write it as a fraction, we call these rational.*0524

*Or whether we can not write those as fractions, we call these irrationals.*0529

*That is how I'm connecting things with arrows here.*0535

*I'm doing that to show how these categories break down.*0539

*Rational numbers are types of real numbers and irrational numbers are types of real numbers.*0543

*Continue on with those numbers that can be written as fractions, those are the rational.*0550

*We move on to integers.*0556

*You will notice at that stage at we can drop with all our fractions, we do not have decimals anymore.*0559

*Now we have numbers like -2 , -1, 0, 1 and we go on from there.*0563

*As we continue classifying them, we get to our whole numbers.*0571

*In these ones now, we do not have any more negatives.*0576

*We start at 0, we have 1, 2, 3 and we go up from there.*0579

*On to our primal simplest list, those are the natural numbers.*0585

*They start at 1,2, 3 and they go up from there.*0590

*Remember, these ones are known as our counting numbers.*0594

*One way that you can use this diagram to help you classify numbers*0599

*is to know that if a number ends up in one of these categories it is also in all of the categories above it.*0602

*We can see this happen for some of our numbers.*0609

*Let us take the number 2, I see that it is definitely on my natural number lists, but it is also a type of whole number.*0612

*In addition, is a type of integer and I can take 2 and write it as a fraction.*0621

*It is a type of rational number which is of course a type of real number.*0627

*2 gets to be in all of those categories above it.*0633

*I will also take one that is not in quite as many groups.*0638

*For example let us just take the square root of 3, it is an irrational number.*0640

*But it is also in a category above it, it is a square root of 3 and it is a type of real number.*0646

*Okay, not bad.*0653

*Now we know a little bit more about the different types of numbers.*0657

*We will show you how you can visualize a great way to compare them using what is known as a number line.*0660

*On a number line, we draw out a straight line and mark out some key values such as like -3, -2, all the way up from there.*0668

*We put the numbers that are smaller on the left and the larger numbers on the right.*0679

*In this way I can make good comparisons between numbers.*0688

*You can see that 0 is on the left side of 3, we could say that 0 is less than 3.*0692

*It is handy to be able to visualize numbers in this way when looking at their absolute value.*0701

*The absolute value of the number is its distance from 0 on a number line.*0707

*It is a quick example may be looking at the absolute value of 2.*0713

*Since 2 is exactly 2 away on a number line, I know that the absolute value of 2 is 2.*0718

*We will start another one, how about the absolute value of -3.*0727

*That one I can see is exactly 3 away on a number line, its absolute value is a +3.*0733

*We might develop some shortcuts and say wait a minute, the absolute value just takes the number and always makes a (+).*0741

*That is okay, that is the way it should work that is because our distances are always (+).*0746

*As long as we can go ahead and compare the numbers, we might as well pick up some new notation for doing this.*0753

*You can compare numbers using inequalities and use the following symbols.*0758

*You can use greater than, less then, greater than or equal to and less than or equal to.*0763

*The way these symbols work, is you want put the smaller number with the smaller end of the inequality sign.*0770

*And the larger end of the inequality sign with the larger number.*0780

*It could say something like -3 < 5, that would be a good comparison between the two.*0787

*We have seen a lot about classifying numbers and comparing them.*0798

*Let us go ahead and practice these ideas by classifying the following numbers.*0801

*Let us say from the list that all of the groups that the following numbers belong to.*0806

*Let me start with 2/3, first I think is 2/3 a real number or an imaginary number.*0810

*I do not see any (i) on it so I will call this a real number.*0817

*Now, I need to decide can I write it as a fraction or not.*0824

*This one is already a fraction I know that I can write as a fraction for sure.*0829

*I will call this a rational number.*0833

*Moving on from there, in my integers those containing numbers like -3, -2, -1, 0 end up from there.*0837

*That is how the integers, we do not have fractions, we do not have decimals.*0846

*This one does not get to be in the inter group or anything below that for that matter.*0849

*I could say 2/3 is a real number and I could say that 2/3 is a rational number.*0854

*Let us try another one of these, 2.666 repeating.*0861

*I do not see an imaginary part so I will say that this is definitely a real number.*0865

*We can not write it as a fraction, why do you see it has a repeated block of numbers that goes on and on forever, it is a type of rational number.*0871

*What else can I say? Is it an integer? No, it has the decimal part on it, it is not an integer.*0883

*I will leave that one as it is, moving on, the square root of 3.*0892

*This is a type of real number, it does not have any imaginary part on.*0898

*Can we write this one as a fraction or not? This one I can not.*0903

*In fact, when you look at the decimal, it goes on and on forever and it does not have that repeated block of numbers, irrational.*0907

*Since we do not have any more distinct groups of below irrational, we will go ahead and stop classifying that one.*0918

*Onto some other numbers, -5 that is a type of real number.*0924

*It looks good, can we write as a fraction?*0931

*You bet we will simply put it over 1, it is rational.*0934

*Is it an integer? it does not have any fractions, it does not have any decimals, I will say that it is an integer.*0941

*Is it a type of whole number? that is where I need to stop.*0952

*Whole numbers do not contain negative numbers.*0956

*-5 is real, it is rational and it is an integer.*0959

*On to the number 0, this one used to be in a lot of different groups.*0965

*0 is a type of real number.*0970

*You can write it as a fraction, we will say that it is rational.*0975

*It is a type of integer, since it is in between our negative numbers and our positive numbers.*0983

*It is definitely a whole number.*0993

*That is where this one stops getting classified because the natural numbers start at 1 and then go up from there.*1002

*One more, let us classify 9, this one is a type of real number.*1009

*We can write it as a fraction, I know that it is rational, it is definitely on our list of integers.*1016

*It is also a type of whole number and we can go just a little bit further with this one.*1028

*This is a type of natural number.*1035

*9 used to be in a lot of different groups.*1039

*It is a type of real number, a rational number, it is an integer, it is a whole number and is a type of natural number.*1041

*Let us try this in a slightly different way.*1050

*Here I have a giant group of numbers, we want to list out whether the numbers in some of our various different groups like imaginary, real, or irrational.*1052

*That way we can think of visualizing, classifying them in just a slightly different way.*1060

*Let us start out with the first one.*1067

*I want to figure out all the groups that -7 belongs to.*1068

*I know that it is a type of real number, let us go ahead and put it into that group.*1072

*Can we write this as a fraction or not, yes I can write it as a fraction.*1078

*Let us put it in our rational category.*1081

*Is it a type of an integer? Yes it is on my integer lists.*1086

*Is it a type of whole number? No, because our whole numbers do not contain negative.*1091

*We will stop classifying that number.*1096

*Let us try another one, negative the square root of 3, that is another type of real number.*1098

*However, that one I can not write as a fraction.*1107

*I better put it in the irrational category and then that one stop.*1111

*Moving on, -0.7 it is a type of real number.*1117

*This one can be written as a fraction, it is -7/10.*1125

*Let us go ahead and put it in our rational category.*1129

*Can we go any further from there?*1134

*Unfortunately not, because it contains those decimals and integers some contain decimals.*1136

*We can stop classifying that one.*1142

*Moving on to 0, 0 is a type of real number.*1146

*It is a type of rational, it is a type of integer and it is a type of whole number.*1151

*It gets to be in a lot of different groups.*1160

*Remember, it is not a natural number since that starts at 1 and goes up.*1162

*On the 2/3, that one is definitely a real number and since it is already a fraction, I know it is a rational number.*1167

*It is not an integer since it is a fraction, 2/3.*1178

*The square root of 11, it is a real number, it does not contain an imaginary parts.*1187

*This one cannot be written as a fraction and I will put it in the irrational category and then stop classifying that one.*1194

*On to our famous number here, pi.*1202

*Pi is a type of real number, even though it is a little unusual, it does go on and on forever.*1207

*It is a type of real number and it is irrational since I cannot write it as a fraction.*1212

*We will stop classifying them since there is no two groups below irrational.*1220

*On to the number 8, this one is going to be in a lot of different groups.*1226

*It is a type of real number, I can write as a fraction by putting it over 1.*1231

*It is on our integer lists, it is on our whole number list and it is a type of natural number, a lot of different things.*1237

*On to 15/2, I will say that that is a type of real number.*1247

*I can write it as a fraction, let us put it in our rational category.*1254

*Unfortunately it is not an integer so I will not put it in that one.*1259

*Then number12, 12 is a type of real number.*1266

*We can write it as a fraction by putting it over 1, let us put in rational.*1271

*It is a type of integer, it is a type of whole number and since the natural number starts at 1 and then goes 2, 3, 4.*1276

*All we have from there I know that it is a natural number.*1285

*Just one more to do, the number 3i.*1291

*I have to throw an imaginary number on my list so it will immediately drop that into the imaginary bin.*1295

*And that is all the more classifying we will do with that one.*1301

*Since again imaginary numbers and real numbers are completely distinct from one another.*1305

*What you will know is that most of these categories are all types of real numbers.*1310

*We have classified numbers, what gets better about comparing them on a number line or just being to plot them out.*1318

*The way we plot out a number on a number line is we find it.*1325

*Say using one of our markers below and put a big (dot) to where it is.*1330

*If I want to graph something out like 3 on a number line, I will find 3 and I will place a big old dot right at 3.*1333

*Once I applied it out, I can do some good comparisons.*1342

*We can see that since 3 is to the left of 4, that 3 is less than 4.*1346

*Since 3 is on the right side of -1, 9, 0, 3 is greater than -1.*1355

*Let us spot out a few more, -2 on our number line.*1361

*We would find -2 and go ahead and put up the big old dot there.*1366

*When it gets in to fractions and decimals it does get a little bit more difficult but you can still put these on the number line as well.*1371

*This one is 5/3 and I do not see any 5/3 in my markers here on the bottom.*1378

*What I can do is I can break down each little section into thirds and mark out the 5th one.*1384

*1/3 and more thirds and more thirds.*1390

*We are looking for 5/3, 1,2, 3, 4, 5, we put that big dot right here.*1395

*Now we can better compare where 5/3 is into other numbers.*1403

*5/3 < 2 but it is greater than 1.*1407

*Alright, -3.75 that would be the same as -3 and 75/100.*1414

*That can also be written as -3 and 3/4.*1425

*That tells me I need to break down my number line into quarters.*1430

*1/4, 1/4, 1/4 and 1/4.*1436

*I'm looking to mark out 3 whole sections and then 3 quarters.*1446

*And we are going the negative directions 3,1, 2, 3 and we will put up the old dot there.*1451

*We can see that -3.75 > -4 and it is also less than a -3.*1458

*Let us use our number lines so that we can actually line up various different numbers and see which ones are smaller than the other ones.*1470

*Be just a rough sketch of the number lines, I'm not going to be too accurate with my thick marks.*1481

*But I just used it so I know how they compare to one another.*1487

*Let us go ahead and start with our first number here and put -7 on a number line.*1493

*Since it is a negative number, I'm going to aim for somewhere on the left side here -7.*1498

*-3 is a little bit more than that, I will put it on the positive side over here.*1508

*Let me put a spot there for 3.*1515

*-0.7, that is not very big and is definitely larger than -7 and less than 3.*1519

*Let us go ahead and put it right here - 0.7.*1527

*0 is a good number and put it greater than -0.73.*1539

*2/3 is larger than 0, I will put on the right side.*1550

*Alright on to something little bit trickier, the square root of 15.*1561

*I know that that is less than 4, since the square root of that 16th is something a bit larger will be on the right side.*1566

*It is greater than 3, since the square root of 9 would be 3.*1573

*I'm going to put this one larger than 3, square root of 15.*1577

*It is a good one, definitely larger than square root of fifteenths.*1587

*-7/2, that one is about -7 1/2, I mean -3 1/2.*1597

*Let us put that one down here -7 1/2, -5 and one more number pi.*1606

*3.1415 a little bit larger than 3, put it a little bit larger than 3.*1625

*Now that we have used our number line, it gets some comparisons among all these.*1636

*We will simply list them from smallest all the way up to largest.*1641

*-7, -5, -7/2, -0.7, 0, 2/3, 3, pi, square root of 15 and 8, not bad.*1646

*For this last example, we will go ahead and use our inequality symbols like less than or greater than to go ahead and compare these 2 numbers.*1670

*If you want you can use a number line to plot them out before using these symbols.*1676

*Let us try the first one, comparing 6 and 2.*1684

*When I plot these out, 2 is on the left side of 6.*1690

*I know that 2<6, it is my smaller number, I will drop my inequality symbols so that I show that 2 is less than 6.*1695

*I can also say that 6>2.*1705

*Let us try another one, -7 and 5.*1711

*It is tempting to say that -7 is bigger but our negatives are on the left side and our positives are on the right side.*1722

*You can see that -7 is less than 5.*1730

*Let us write that out, -7<5.*1735

*-5 and -3, -5 is further down the -3, I know that it will be less than -3.*1745

*One more 2.3 and 5.7, 2.3, 5.7 will be much larger.*1765

*I know the 5.7 > 2.3 or in the order that they are in 2.3 <5.7.*1780

*These symbols are handy and in showing the comparison especially where they are on a number line.*1790

*One thing I did not use here is the or equals to symbol.*1796

*I could have put that in for all of these spots, 6 is greater than or equal to 2.*1802

*Or I could have said -7 is less than or equal to 5.*1807

*That is because it also takes into the possibility that the numbers could have been equal.*1812

*The reason why I did these is I can see that all of the numbers are not equal.*1819

*And it is a little bit more flexible when using this other one.*1826

*Watch for the or equal to symbol to show up when we are doing a lot of our inequalities, these ones are good.*1831

*Thank you for watching www.educator.com.*1838

1 answer

Last reply by: Professor Eric Smith

Mon Jul 10, 2017 4:49 PM

Post by Mohamed E Sowaileh on July 10 at 08:23:38 AM

Hello Dr. Eric Smith,

I hope you are very well.

I am a student who is extremely weak in math. In order to be very strong in math, specially for engineering field, could you provide me with sequential order of mathematical topics and textbooks. With what should I begin so that I can master big topics like calculus, statistics, probability ... etc.

Your guidance is precious to me.

Thank you so much.

2 answers

Last reply by: Rowen Ainslie

Tue Jun 6, 2017 10:03 AM

Post by Zacc A on March 30 at 01:41:42 PM

How is the ?{100} irrational? Isn't it rational?

1 answer

Last reply by: Professor Eric Smith

Fri Aug 26, 2016 7:01 PM

Post by Summer Breeze on June 22, 2016

Hello Eric, you said in one of the slides that imaginary numbers are numbers with i and constant like 'pie', but in this exercise, you categorize 'pie' as a real number. Can you please tell me which numbers fall under immaginary and where constants like 'pie' and 'e' go? thanks!

1 answer

Last reply by: Professor Eric Smith

Fri Aug 26, 2016 7:02 PM

Post by Summer Breeze on June 21, 2016

Hello Eric, Can I consider all numbers to be real numbers except for imiginary numbers or the square roo of a negative number?

1 answer

Last reply by: Professor Eric Smith

Fri Aug 26, 2016 7:03 PM

Post by Summer Breeze on June 21, 2016

Hello Eric, at the highest level, we have real and imaginary numbers; in your diagram, you have irrational under Real umbrella. Should irrational numbers fall under the imaginary category?

1 answer

Last reply by: Professor Eric Smith

Fri Aug 26, 2016 7:04 PM

Post by Summer Breeze on June 21, 2016

Hello Eric! Can you please share the easiest way to convert a repeated decimal number like 0.161616 into a fraction?

1 answer

Last reply by: Professor Eric Smith

Fri Aug 26, 2016 7:06 PM

Post by Summer Breeze on June 21, 2016

Hello! In your explanation, you mentionned that rational numbers are those that can be writen as a fraction and are terminating numbers, but 3/17 when converted to fraction does not terminate, why is rational?

2 answers

Last reply by: francisco marrero

Mon Aug 24, 2015 6:24 PM

Post by francisco marrero on July 22, 2015

Do you recommend a book to practice more equations?

1 answer

Last reply by: Professor Eric Smith

Tue Dec 30, 2014 3:39 PM

Post by Brad Cure on December 28, 2014

I like your diagram of "Basic Number Types" It provides a nice simple global view of numbers that is easy to understand.

3 answers

Last reply by: Professor Eric Smith

Wed Mar 18, 2015 10:25 PM

Post by Mohammed Jaweed on December 25, 2014

How do you plot a fraction on a number line.

3 answers

Last reply by: Douglas Williams

Tue Jan 14, 2014 8:58 AM

Post by Douglas Williams on January 7, 2014

Dear Mr. Smith, I just joined educator.com and have been studying a lot, I took a break and I was looking at some watches, the first watch I saw was water resistant to 30 meters, so I wanted to convert that to feet. so I found out that 1 m = 3.280 ft. So I got to wondering, what is the .280 ft. in inches? I know that .280 = (280/1000) but who ever heard of a thousandths of an inch? So I like painted myself into a corner, and I have been trying to just logically think it through, I drew a picture of a two number lines, etc, I just can not yet figure out how to get a precise conversion. Logically I know that 30 meters * 3.280 ft = water depth in ft. but how do I convert the hundredths of an inch to something more like a US fraction? Google says the answer is 3 and 3/8 inches what is the correlation between (280/1000) and (27/8) Do I factor? I can not grasp the concept, totally lost ugh. -Doug

1 answer

Last reply by: Professor Eric Smith

Mon Dec 2, 2013 8:47 PM

Post by Juan Manuel Gallardo on November 29, 2013

this course can help me for college admission tests?

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Last reply by: Professor Eric Smith

Tue Sep 3, 2013 6:38 PM

Post by Jonathan Traynor on August 31, 2013

You are an outstanding teacher. Thanks for all your help!!!!!

1 answer

Last reply by: Professor Eric Smith

Mon Aug 19, 2013 1:44 PM

Post by Theresa Sharp on August 19, 2013

How do I write a decimal with a repeating block of numbers as a fraction? what is the formula for that?