Math Trick - multiply with lines - the five zero edition
HTML-код
- Опубликовано: 22 авг 2024
- This trick allows you to multiply two numbers quickly and accurately, using a handy visual method - lines.
It also shows how to deal with zeros and larger numbers, for easier multiplication.
This method does not use any multiplication tables, making it accessible to all learners.
The first of the videos showing how to multiply with lines is here: • Math Trick - Multiply ...
Arithmetic made simple!
See more great math tricks here: / tecmath
To donate to the tecmath channel:paypal.me/tecmath
To support tecmath on Patreon: / tecmath
To buy tecmath mechandise: teespring.com/...
Thank you Mr. Guy from Australia who is not Chris Hemsworth but clearly is still a God of Math! AT LAST I CAN MATH! Thank you for your "Ability to Math Restored" Blessing!
Thank you so much! I have struggled with maths all my life and this is the first time that multiplication has made sense.
thank you for this.. made my question about zero's go away.. since i'm teaching my girl.. she watched this with me and paused everytime she had a question and I was able to explain it to her.. :)
mom of a 3rd grader who is already doing algebraic equations...multiplication has been so hard for him to grasp..learning this so i can teach him...THANK YOU (I feel like a lost puppy after being out of school for so many years)
I am a 47 year old with dyscalculia and I dearly wish I had known this at school. Now I'm doing my functional skills as part of a qualification and you've NO idea how much this has helped. I work better with diagrammatic workings out so this is a life saver!
i hope u improve
finally a use for 4 color ball point pens!!!
Lol now I know what they for 😂😂
😆😆😆
Haha!
Lol
my friend haves one of these
He sounds so happy and excited whenever he reveals a secret trick, it’s adorable ☺️
i dont want to be too dramatic, but i think you may have just helped me pass math! im even tempted to re do my gcse's :D this is amazing!
thanks for the video =]
i wish they taught this in the American school system, makes simple multiplication fun and visual
Everyone deserves math teacher like him
This is really amazing 👏! What I do, to simplify it even further, is I noticed we can even reduce the amount of intersections to count even further by using a separate color for each digit that's different in the problem. For example, (937x26) I'll use blue for 9, red for 3, green for 7, black for 2, and purple for 6. I write them down, and then just have a super easy and fun time solving the problem! I used to think we have to use colors for 0 or multiples of 5 or 10, 100, and so on, but I noticed just by trying it out that it works with any number you want! After thinking it through that should be obvious, and it teaches multiplication and addition in a visually clean and easy way.
THANK YOU !!!!! THANK YOU !!!!! - I watched your other video, and was hoping there was one on the big numbers and "0" Having a learning problem my whole life, ( i am now 35y.o) I feared maths esp Multiplication .. I am one happy camper this morning I now can do long multiplication :D ..... Thank you so very much.... Yes others may be right bout it being longer to do it this way , However I am not others, I could never learn the way teachers taught and to be honest for me this is quicker, and more accurate ..... Thank you again from the bottom of my heart ....
Anita Markna i’m 5 and i know devision🤣 (TRUE!)
I am exactly the same way Anita. Not stupid by any means but failed at school... RUclips has been my saviour - I'm just soaking up an education now. Many academics are just people with good memories so life is easy for them especially exams and certificates, etc. but they learn by rote and don't truly understand and rarely have the ability to solve complicated problems if they have not been taught how to.
You need to realize that not every person has the capacity to multiply mentally.
Bess Wall you have to realize this isn't meant for everyone...
Yeah Multiplying mentally with huge numbers some can't be remembered.
You have really helped the kids in my class (and me!), thank you very much!!
(200x12)+(7x12)=2400+84=2484 my way of doing
Last one was helpful. TY
(207 x 10) + (207) x 2 = 2070+414 = 2484.
This is amazing! Thank you so much! I'm definitely going to show this to my peers who struggle.
This is awesome! :D I'mma outsmart my teacher with this, and hopefully do better on my finals useing this method. I'm hopeless with multiplications, and this is a nice lifesaver while I learn to get better at it! TvT Thanks!
It is better to put a line and its numerical value (like a line valued 9 as ONE line with a number 9 on it) instead of a line of 5 and 4 line in parallel.
like anything else one need some practice before evaluating whether it is good/fast for him or not.
You have no brains.
xD JK
I am terrible at factoring... This is amazing thankyou
Thank you for sharing your tricks and knowledge! God bless you.
what are the circles if i want to calculate for example 146*285?
love it. I did this on my exam and everyone was like whaaaaaattttt......?
Syed Wazif lol
i had a better technique using the power of math
@@rogelioporsuelo8126 Lol, this is also the power of math, its just a simple way for more visual people to stack numbers.
It’s very interesting, the steps are essentially the same as adding “x’s” to the next step using traditional American mathematics (then adding everything up). However, this definitely provides a helpful visual aid.
I remember just _ever so briefly_ going over this in school! I think we covered it about as quickly as we covered the abacus usage, a few years earlier. 😄 All for us to blow right past it to do it the "regular" way...
I used this to answer another question I had. you can multiply single digits by placing a zero in front of them. aka 5X4 would be drawn as 05X04 and the method works just the same.
+Tiny Rex you don't really need the zeros, you can just draw 4 lines in one direction and a line representing 5 in another then you would count the four intersections by counting up in fives, 5, 10, 15, 20. And there is your answer, don't overcomplicate it for yourself! :)
tinksno1 I know i typed "5X4" just as a random example but if you use the "zero line" then you keep the proper spacing for when you circle the sections for your answer. That is the reason the zero line is used at all, to put the intersections in the right locations. I appreciate your response and of course I know what 5X4 is without drawing any lines , I was just clarifying how to maintain spacing for anyone using this method.
+Tiny Rex Just use 05x14 as your example then. 05x04 just doesnt make sense.
Also if you keep the angles of the lines right, the intersections should be easy to locate, as they should be from top to bottom in one line. If not maybe quad paper might help you ;)
Alexandra Calvo Look, I've tried to be nice but you are wrong! If you don't understand the concept that there are quadrants where single digits and tenth's and hundreds must stay then don't try to correct me when I'm right and you are wrong. You cannot simply draw four lines anywhere they have to be spaced properly as I said or they will not line up. graph paper has nothing do do with it and you need to stop spreading lies on my post or I will erase your comments.
thats so helpful cant wait to tell my classmates how did i get my fast multiplicating skills
and by the way what if t has decimals?
Everything would be same just put the decimal point 1 digit or 2 digits
According to the question.
i live in botswana and showed it to my teacher and it was new to him
OH NO! I lost my 4 color pen!
Trainboy1EJR that’s not good
thanks was always fascinated to see it better
Great video! It seems like it's a good trick to know about, but not that useful if you need to calculate fast.
Well this will help with my struggles of memorizing multiplication
Thanks you for teaching me 🙏
Very good!
If people dont have colour pens they can give values to the lines by just writing veside a line its value and then multiply to get intersections. its great.
Are you British
Thank you teaching my 8 year old this method now
This is going to help my son tremendously
I got confused on 109×72. But I love watching ur videos I got better a math!!!
Thanks mate, usefull method to be aware of. later !!
im gonna really enjoy teaching this to my son who loves maths, thank you!
How it went? Before I teach it to my son...
brilliaaaant thanks a lot for uploading :)))))
Do you keep it there when there’s 2 digits on the first section? Example: 99x99
Your first number, the ones, would be from the first set of crossings from the right, the second place, the tens, would be from the next crossings from the right, and the hundreds place would be the next sets of crossings.
In your example, there would be a 5s line & 4 1s lines, twice, for 99, and crossing those would be a 5s line and 4 1s lines, also twice, for 99.
What about two zeros in one number?
Very helpful
OMG THANK YOU SO MUCH THIS HELPED ME ALOT
Damn, I didn't know Surge was a math teacher.
Thank you
Thank's for the lesson. It's so amazing!
In relation with the operation in 7:33 I made a comparison between this method and the classical, the classical is faster than this. I understand the gread advantage of learning alternative methods but this one is not a better in many cases. Anyway I like it
I would do it in my head like this:
109 x 72
100 x 72 = 7,200
9 x 72 = 648
7,200 + 648 = 7,848
109 x 72 = 7,848
Here are some other examples that lets expanded form help you out:
232 x 44
200 x 44 = 8,800
30 x 44 = 1,320
2 x 44 = 88
8,800 + 1,320 + 88 = 10,208
232 x 44 = 10,208
597 x 13
500 x 13 = 6,500
90 x 13 = 1,170
7 x 13 = 91
6,500 + 1,170 + 91 = 7,761
597 x 13 = 7,761
1,004 x 27
1,000 x 27 = 27,000
4 x 27 = 108
27,000 + 108 = 27,108
1,004 x 27 = 27,108
Ooh, another method. Interesting...
Yay! Now, i'm a genius 🤣
Very easy and I like it 🎈🎈🎈
Nice Work! Very useful!
well done that helps me sooooo much
Nice method
The first one was so easy.
The rest of them turned my gray hairs back to black.
I would use a 3 as a different color as it would be more useful and will eliminate more lines.. Thanks for the TIP will use it next time!
+meforsure Just more difficult when some of those lines collapse, then you have to calculate those multiplications, even if they're rather easy. And 5s nicely add up compared to 3s.
Amazing
this great it help me on my math test
nice
Could you have two 5 lines and a subtraction line for a nine?
Does this method work for any multiplication table?
It does, but can be messy.
Try this way!
ruclips.net/video/iq_CBK_qyd0/видео.html
What do you do when the number is greater than Zero in the tens place like 632?
too confusing for me :(
Can this be done with division problems with and without decimals.
E.g 112/14 or 147/9
Hey guys has he done this trick: It's called multiplying any 2 digit number by 99
Ex:
99 times lets say 47
First step is minus 1 from 47 which is 46
Second step now how many numbers do u need to add from 47 to make it equal 100, which should be 53 because 47 plus 53 equals 100
Third step is say the two numbers together as if u were saying it in the thousands. Like it should be 46 thousand and 53
U can check if u want and it's not that hard when u start to get used to it! Hope u guys like that trick and maybe he should use it If he hasn't already done so
Now try 99 times 75 for practice
woah nice, didn't check but if it works, that's pretty cool
I Like this a lot!! is there on for dividing?
How am i supposed to do with number under 10 like 6 x 7, 8 x 9 etc
Hi how do you know which parts are together when you circle them example : 6:10
It’s getting to the point where you could use normal multiplication:)
Thx! Nice trick
What about doing two three digit numbers like 214*132?
Nice One Mate!
so usefull
how do you do problems like 12x142 or 14x251? more than two digit numbers????
His other video.
I'm confused in the tens part...I don't see why you started with 25....can someone please explain this?
i having trouble figuring out which lines to circle but i guess that probably because i have no sound on
I like this math method
What if you don't have a different color?
use squiggly lines/zig zag (sawtooth)/lines that look like a spring...etc
If everything that intersects with the 0-line is just multiplied by 0, what's the point of having it? Is it just something to help you visualize the question?
+TheSpeedcow so you don't skip a zero
+TheSpeedcow it is keeping the proper spacing for when you circle the areas to get the answer.
+TheSpeedcow You can multiply single digits by drawing them as a a two digit number starting with zero. ie 05 instead of 5.
how do we get for 3 digit number multiplied by itself ?
Hi! How do you multiply 5760 by 35 using this method? Thanks!
I keep doing this one in particular that I never seem to get the right answer to. It's a big fella a whopping 5,999,875 X 5,666,577 When I did what you did in this video I got an answer of 32,703,257,277,875 However whenever I tried doing this on the google calculator I got quit a different answer of 33,998,753,677,875 How did I get this wrong?
I re-did it and got the right answer but desided to B- myself for only getting it second- handedly.
(Edit) third handedly actually it took me 3 trys to get it right and sure enough the answer is 33,998,753,677,875 or to put it in words *THIRTY* *THREE* *TRILLION*, *NINE* *HUNDRED* *AND* *NINETY* *EIGHT* *BILLION*, *SEVEN* *HUNDRED* *AND* *THREE* *MILLION*, *SIX* *HUNDRED* *AND* *SEVENTY* *SEVEN* *THOUSAND* *EIGHT* *HUNDRED* *AND* *SEVENTY* *FIVE* !!!!!!!!!!!!!!!!!!!!!!
how would you draw 27x339 ?
Thank u 😊😊😊😊
how would you go about 99x99? I can almost see how you get 9801 but the rules to follow allude me.
A lot of lines.
I am a still a little confused on how you know the boundary's between the digits
The set of crossings farthest to the right is the 1s, the next sets (follow each batch of lines to the left) will be the 10s, the next set(s) will be the 100s, the next set(s) of crossings will be the 1000s, and so on.
I FINALLY UNDERSTAND
is exponent math doable
I also invented long subtraction. It is used to subtract 3 or more numbers. You work the same way as short subtraction a.k.a. column subtraction except if you are like completed the first separate calculation, you do the second separate calculation.
Best👍
can u do like 1243x345?
this one is alittle more confusing what if you don;t use the "5's" ? will you still get the same answer?
Yeah, you'd get the same, but your sets of lines would be a lot larger. You'd need 6 lines for the 600, rather than a 5 and a 1, so 6 total lines rather than 2 total, for just that first crossing set. You'd need, for example, 9 total lines for a 9, rather than a 5 line and 4 1s lines.
@@MaryAnnNytowl thanks - 4 years later … 🤣
Really 8 dots look it's 10 dots in yellow dots if you count
What will happen if the answer has a zero in it, what would that look like?
You just put a zero there. Like with the ones he crossed out, their answer is zero + what the other set equaled. For the problem he did that was 607×24, the 2nd set of crossings was 14+0, and the 3rd set of crossings was 24+0. Your example would have a crossing where they would be 0+0, so you'd write down 0 for that place.
what do you do for decimals?
ikr. Maybe you can can take away the decimals and then add them back again. Although, if you have something like 5.5x5.9 you cant
I'd multiply each decimal in to a whole number, then at the end shift them back. So if you shifted by 9 in one number and 4 in the other you'd go back 13 spaces in the end.
What if it's 20 x 40
Very helpful. ? What if you have a problem that has "0" at the end like 200x70 or 250×70? We are a little confused. Thank you.
If you have different coloured pens, use, blue (for example) for the counting numbers and green for the zeroes. Draw the lines for the zeroes as you would for the counting numbers and separate the intersections. The first two intersections have no counting numbers, so they are both 0. By adding the others and carrying where appropriate, the answer to 250 x 70 will be 17,500. I am NOT a mathematician and this worked for me! Thanks for posing the sum; it gave me a chance to work it out. I hope my explanation helps.
THANK you Elliott😊
My pleasure.
@@MendelsonShape 100 ×100=10000..show me
now where did that 4 color pen go....
13x12
What if zero comes in the end like 50*70
You just put a zero there. Like with the ones he crossed out, their answer is zero + what the other set equaled. Like for 607×24, the 2nd set of crossings was 14+0, and the 3rd set of crossings was 24+0. Your example would have crossings where they would be 0+0, so you'd write down 0.