Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real

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  • Опубликовано: 20 янв 2025

Комментарии • 242

  • @belleame8040
    @belleame8040 7 лет назад +4

    I like it when a teacher explains the topic in a clear way.

  • @johncozad2942
    @johncozad2942 9 лет назад +1

    I started college after 30 years last attended and all i have to say is, thank you so much. your my hero!

    • @MrCaryMath
      @MrCaryMath  9 лет назад

      +John Cozad wow, that's a nice comment!

  • @alinasofresh
    @alinasofresh 10 лет назад +6

    Thanks a million!!!!! for clarifying this I was so confused talked with my teachers and tutors nothing seemed to make sense I felt so close to giving up on this but then I seen your vid and it just made total sense! Thank you!!!! keep It up!!! you help a lot

  • @jaystreet4004
    @jaystreet4004 3 года назад +2

    May God bless you for this video. This was explained in a easy and thorough way. Thank you so much!

  • @katerecto418
    @katerecto418 9 лет назад +24

    I wish you were my teacher!! You teach math clearly :)

  • @musiclover13111
    @musiclover13111 11 лет назад +2

    My teacher had an hour to explain this, and failed to explain it well. You've taken a mere 15 minutes of my time and taught it to such an extent that even I could reteach it.

  • @rhinadiaz5736
    @rhinadiaz5736 10 лет назад +2

    Thank you very much, my daughter loooooooved this article, helped her a lot

  • @bledsoee_
    @bledsoee_ 8 лет назад +10

    My math teacher showed me this. THANK YOU SO MUCH.

  • @MegaSquiff
    @MegaSquiff 4 года назад

    Very well set out in an easy listening voice. A big thanks and subbed.

  • @berriosileana
    @berriosileana 10 лет назад +1

    you fell out of heaven right towards me. Thanks a million, i didn't get it in class nor in the math book, but i got it watching your video. THANKSSSSS!!!!!

  • @tanyar3776
    @tanyar3776 11 лет назад +1

    You simplified a topic that I once found confusing. Thank you!

  • @solsticedark
    @solsticedark 11 лет назад

    Thank you so much! You made this make a lot more sense to me!

  • @cesarrodriguez-tw9bp
    @cesarrodriguez-tw9bp 10 лет назад +2

    Great ... I've never paid attention to terminology but now I know it's very necessary. Your video helped me a lot. Now I won't be lost when my upper math teachers mention the words integers and rational. Thanks a lot dude.

  • @godlychild7925
    @godlychild7925 6 лет назад +1

    THANK YOU!!!!! YOU ROCK!!! Your video was so simple to follow, clear, coherent and illustrative. You took the time to provide examples and depicting it in a diagram/hierarchy was perfect! Excellent job! (PS: check the spellin of circumference - slight typo there)

  • @not2tees
    @not2tees 10 лет назад

    Gratitude for the clarity!

  • @yomajesty287
    @yomajesty287 11 лет назад

    You are awesome!!!

  • @honestlyspoken1373
    @honestlyspoken1373 9 лет назад

    This was outstanding! I was able to help my freshman son after we watched this together and took notes. HE GOT IT (despite the language disability)! Your voice was clear, and you spoke slowly enough for him to follow. Thanks!!!

    • @MrCaryMath
      @MrCaryMath  9 лет назад

      +Honestly Spoken I am so glad to heat it! I do have over 180 posted so far many of which a freshman in high school can use. You might want to subscribe to my channel so you can find it quickly in the future.

  • @elegancewithin
    @elegancewithin 11 лет назад

    thank you for clarifying the number system and what goes where. Thank you

  • @Blackgurl420
    @Blackgurl420 13 лет назад

    Omg ~ I was lost until I saw this video. I can now go to class and take my quiz with confidence. You are A GENIUS!

  • @minimuffins9965
    @minimuffins9965 12 лет назад

    I completely have a better understanding.... THANK YOU!! I have an exam tomorrow and I'm no longer worried about it because of my research online .... i google each area and got more out of my few hrs online than the weeks im spending in this damn class....

  • @kellyjohnson2670
    @kellyjohnson2670 9 лет назад

    You did a nice job explaining this! Thanks!

  • @audjbagosh4547
    @audjbagosh4547 11 лет назад

    OHHH MYYY GOSH...Thank you for going over this material so thoroughly! I took notes and everything! lol

  • @mariaizquirdo9685
    @mariaizquirdo9685 10 лет назад +29

    Thnks sooooooo much it was my 3rd day of of middle school and I had so much trouble with my homework but u helped me out a ton. Thnks soooooo much

  • @Swisham8796
    @Swisham8796 11 лет назад

    Okay, I love this guy. Every time I'll ask, "Well what about...?" he'd cut me off and give me just the answer I was looking for. Like it or not you're getting thumbs up and subscribed! Lol

  • @FlamesCagney
    @FlamesCagney 12 лет назад

    Thanks. This was one of the best tutorials of anything, ever. Good job.

  • @lesliegarcia248
    @lesliegarcia248 11 лет назад

    Great video!

  • @Hyperagua
    @Hyperagua 8 лет назад +1

    Outstanding!

  • @dougcensor9670
    @dougcensor9670 8 лет назад +1

    Thank you!

  • @jackmclean6159
    @jackmclean6159 8 лет назад +1

    Great!!

  • @LacquerandlaceVintageatheart
    @LacquerandlaceVintageatheart 12 лет назад

    Great job

  • @Blilrob
    @Blilrob 12 лет назад

    hey thanks a lot you help me out big time man THANK YOU !!!!!!!!!!!

  • @utucknupkdr
    @utucknupkdr 8 лет назад +1

    Great video, very easy to understand.

  • @amandabivens247
    @amandabivens247 7 лет назад +1

    Thank you so much! I am 29 and going back to school, and I forgot all of this stuff! Isn't it crazy how that happens?

  • @Dannnneh
    @Dannnneh 2 года назад +1

    Here are the shorthand notation symbols that represent each set.
    Natural: ℕ
    Whole: 𝕎
    Integers: ℤ
    Rational: ℚ
    Irrational: ℙ
    Real: ℝ

  • @ajarahkennedy3982
    @ajarahkennedy3982 10 лет назад

    WOW WOW WOW!! This totally helped me out. I have been unclear with this thoughout all my years in school and throughout college. Somehow I got by without being too sure on this subject. Now at 22 years old I finally understand it. Thanks :).

  • @gudanin
    @gudanin 12 лет назад

    thank you............God help you to keep on posting good word

  • @justinhoang683
    @justinhoang683 10 лет назад

    Thank you for the help!!!

  • @tiffanyrubi8972
    @tiffanyrubi8972 4 года назад

    This was well explained Thank you!!!!

  • @ms.melissaallen4168
    @ms.melissaallen4168 7 лет назад +2

    This is very simple and informative explanations for those concepts. Thanks a mil. Looking forward to more math videos.

  • @rtp1968
    @rtp1968 8 лет назад +1

    Great! Thanks

  • @shaniamilioto9807
    @shaniamilioto9807 3 года назад

    thank you!! you are a great teacher!!

  • @LysMyMiss
    @LysMyMiss 11 лет назад

    Thank u! Totally just made more sense then my book!

  • @yomajesty287
    @yomajesty287 11 лет назад

    You are very good at explaining things.

  • @TheGoatsMilk13
    @TheGoatsMilk13 8 лет назад +1

    Thanks for this!

  • @emmamioo2009
    @emmamioo2009 10 лет назад

    Thank you for helping me, i was behind a week and had homework i didnt understand until now thumbs up!

  • @jazmineb9069
    @jazmineb9069 8 лет назад +1

    great loved it

  • @azanshaikh7825
    @azanshaikh7825 7 лет назад

    thank you!

  • @rexeldridge9891
    @rexeldridge9891 8 лет назад +1

    Thank you, I am so happy now. YOU are amazing.

  • @Raeb222
    @Raeb222 11 лет назад

    Thank you. You're a big help

  • @fredyvideo
    @fredyvideo 10 лет назад

    well done! you explained it in a very simple way

  • @seiyuutrash3531
    @seiyuutrash3531 8 лет назад +1

    Thank youuuu!

  • @MrCaryMath
    @MrCaryMath  12 лет назад +1

    Great, glad you found it and glad it helped!

  • @lolaleighton85
    @lolaleighton85 10 лет назад

    Perfect. THANK YOU!

  • @LongJohnsMateTom
    @LongJohnsMateTom 12 лет назад

    Thanks for this very well presented video, keep up the good work

  • @UHFStation1
    @UHFStation1 9 лет назад

    Is there anything you could multiply or divide an irrational number by to make it rational that you could also multiply or divide by an already rational number without making it irrational?

    • @MrCaryMath
      @MrCaryMath  9 лет назад

      +UHFStation1 wow, what a great question! Sometimes an irrational number times an irrational number is rational. I'll use sqrt(2) to mean the square root of 2. Example: sqrt(6) times sqrt(6) = sqrt(36) = 6, a rational number! On the other hand sqrt(2) times sqrt(3) = sqrt(6) so sometimes an irrational times an irrational is rational and sometimes not. How about a rational times an irrational?

    • @UHFStation1
      @UHFStation1 9 лет назад

      +MrCaryMath The reason I ask is I like nice numbers. Something that is completely usable later on. I took an equilateral triangle with sides equal to 5 for example. And determined its height to be SqRT 18.75, which is not rational. I'd like to have the sides, and all heights to be rational number if it is possible. Basically scale it up or down as needed.

    • @MrCaryMath
      @MrCaryMath  9 лет назад

      Interested! Unfortunately scaling won't work to get us sides and a height of an equilateral triangle that both rational. Try this...say we have an equilateral triangle with side length 2x. The height would cut the base into two pieces each of length x. Now to find the height use the Pythagorean theorem: x^2 + h^2 = (2x)^2. Solving this equation for h gives h = x times the square root of 3. So if the side length is rational, the height will always be irrational!

    • @UHFStation1
      @UHFStation1 9 лет назад

      +MrCaryMath Poo. I hope we discover a way to better understand irrationals someday. They seem silly. Silly!, Silly, Silly!

    • @MrCaryMath
      @MrCaryMath  9 лет назад

      I hear you, but keep in mind that the ancient Egyptians and Greeks didn't think that negative numbers were valid or even existed! Part of the beauty of math is that the diagonal of a square with a side length that is a rational number is not rational!

  • @jimmygarcia3869
    @jimmygarcia3869 8 лет назад

    Great video! This helped me a lot!

  • @lilliann-resmasiason4239
    @lilliann-resmasiason4239 9 лет назад +3

    thaaaaaaaaaannnnnnnnnnnkk youuuuuuuu sooooooo muuuucchhh :)

  • @Spongepaco
    @Spongepaco 12 лет назад

    Thank you very much for posting this I wasnt paying attention in class so I couldn't do my hw because I didn't understand this. Until I stumbled upon this.

  • @MarkVanLanen
    @MarkVanLanen 7 лет назад +1

    dude. I'm in my mid 40's and you made better sense than my professor.

  • @dakshmota3480
    @dakshmota3480 7 лет назад +1

    Thank you so much. This helped a lot!

  • @KhanKhan-tp4ch
    @KhanKhan-tp4ch 6 лет назад

    How to plot irrational numbers on a number line
    Thanks.

  • @mishebent
    @mishebent 11 лет назад

    Precise and clear, Great job.

  • @niklou043
    @niklou043 10 лет назад

    Awesome and thorough video. I just taught my students the real number system and I am confident that it will help those that are still struggling with it.

  • @tunjuelito
    @tunjuelito 5 лет назад

    Thanks a lot!

  • @belleame8040
    @belleame8040 7 лет назад +1

    I hope that in the future or even now or next days, you'll help a lot of students.☺ You explained it clearly.

  • @zelinabaksh5076
    @zelinabaksh5076 10 лет назад

    you explain well now understand rational well .thanks tons

  • @XxDem0nicG4merxXPro
    @XxDem0nicG4merxXPro 11 лет назад

    LOVE IT!

  • @shahad6750
    @shahad6750 3 года назад

    u r young and smart good 4 u

  • @chriscozilas
    @chriscozilas 7 лет назад

    perfect!!

  • @Mo68299
    @Mo68299 8 лет назад +1

    great video

  • @karimt-4956
    @karimt-4956 6 лет назад

    magnificent realy realy helpful thank you a lot I hope you are my teacher

  • @101axbz5
    @101axbz5 8 лет назад +3

    You explain better than my math teacher !

  • @lmpuIsee
    @lmpuIsee 6 лет назад

    Thanks for saving me just got into middle school and you did the part of my homework I had doubts on

  • @clark-arvinvillanueva486
    @clark-arvinvillanueva486 8 лет назад +2

    I finally understand it! thanks!!

  • @kylerzkmc
    @kylerzkmc 10 лет назад

    Thank you so much!! This really helped me!

  • @kami3836
    @kami3836 10 лет назад

    circumerference
    what?

  • @luwees
    @luwees 7 лет назад

    Thanks This helps so much because my second week of 7th grade we had sets but i didn't understand on how to get the integer thing but when i found this it really help me a lot

  • @maggie3315
    @maggie3315 4 года назад

    Thk u miss .you are really good at teaching wow.

  • @danielmafileo4078
    @danielmafileo4078 8 лет назад +1

    Thank you man! This is really helpful!

  • @alexbarton9012
    @alexbarton9012 7 лет назад

    Thank you for this video .

  • @MrCaryMath
    @MrCaryMath  12 лет назад

    Thanks, I hope it helped!

    • @shyamshubvlogs3286
      @shyamshubvlogs3286 7 лет назад

      MrCaryMath u are only hoping 😂😂
      It helped us all
      No need to hoooooooppppppppe

  • @soniamills29
    @soniamills29 9 лет назад

    Helped a lot thank you !

  • @kellyallen1786
    @kellyallen1786 10 лет назад

    Great video. Thanks.

  • @angelalee8615
    @angelalee8615 5 лет назад

    THIS WAS A GODSEND

  • @diwakarviswanathan6550
    @diwakarviswanathan6550 5 лет назад +1

    Best explained bro....
    Then other you tubers. Thanks.

  • @miranyildirim5891
    @miranyildirim5891 8 лет назад +3

    LP 8?

  • @MikoSacrifice
    @MikoSacrifice 12 лет назад

    Thank you! Way better than what my teacher could teach. also with one of the numbers you said 27 over 8 but it was written 29 over 8. :P

  • @daimondminecraft2393
    @daimondminecraft2393 8 лет назад +1

    your the best

  • @kreativebeautii
    @kreativebeautii 12 лет назад

    This tutorial was so helpful, I had no clue as to what I was doing before this. Thanks Mr.Cary

  • @yomajesty287
    @yomajesty287 11 лет назад

    You also said 27 over 8 instead of 29. Lol! But you're still awesome.

  • @djzaacma8945
    @djzaacma8945 11 лет назад +1

    thats awsom, keep it up,, very cleeeear ,, thnks ...

  • @keshavbhardwaj7527
    @keshavbhardwaj7527 11 лет назад

    Thank you i lovvveee youuu forrr thhiisss!!!!

  • @brhamjotsingh8366
    @brhamjotsingh8366 7 лет назад

    very much helpfull thnx we need much more videos like this thanx onc3 again

  • @rosebudmatchett4715
    @rosebudmatchett4715 11 лет назад

    I find that most Math teachers are left brained and teach to left brainers.
    I'm a very visual learner, so that doesn't work too well for me.
    Your presentation gave my right brain what it needs to get the info over to the left side. Thank you!!!

  • @iTzPaNGu
    @iTzPaNGu 13 лет назад

    youtube doesnt know more than your teacher... it just happens so that u loose attention in class and in here ur paying full attention.... thats all! well teached , i was distracted in class also!

  • @FpsSora
    @FpsSora 12 лет назад

    Thanks man helped me out big time

  • @MrCaryMath
    @MrCaryMath  13 лет назад

    @lax0rd1e, I am a teacher as well.

  • @sarahs6756
    @sarahs6756 8 лет назад +2

    you explained this the best

  • @Ari-uy6my
    @Ari-uy6my 9 лет назад

    I have Blanca's this year lol Mac for life

  • @cr7ronaldov250
    @cr7ronaldov250 11 лет назад

    Thanks man, keep making videos.