/r/mentalmath

Photograph via snooOG

Want to learn how to do math in your head, or even just wrap your head around a mathematical concept? This is the place!

Mental Math: It's the thought that counts!

Thanks to /u/claymazing for the inspirational subtitle!


Official /r/MentalMath wiki
(Self-contained downloadable ZIP file)

New additions (June 30, 2017):

  • Division by 10n+9
  • Rule of 72 (2× principal)
  • Rule of 96 (2.5× principal)
  • Rule of 114 (3× principal)
  • Rule of 132 (3.5× principal)
  • Rule of 144 (4× principal)
  • Rule of 156 (4.5× principal)
  • Rule of 168 (5× principal)
  • Combining rules (Up to 25× principal)

Mental Math Sites:


Free online mental math books:


Using math symbols in your post:

HTML Entites:

Example: Make a √ symbol by typing: √

Courtesy of jamt9000, you can also display subscripted and superscripted characters:

  • *_subscript_* makes subscript

  • *`superscript`* makes superscript

  • *_sub_`sup`* makes subsup

  • *`sup`_sub_* makes supsub

  • *`169`*⁄*_231_* makes 169231

NOTE: The ` character is called the grave accent. On desktops and laptops, you’ll find it on the tilde (~) key. On most mobile devices, it can usually be accessed by holding down either the apostrophe or tilde keys.

/r/mentalmath

4,226 Subscribers

8

It’s basically forbidden

2 Comments
2024/04/27
18:15 UTC

20

Estimating remaining daylight with your hand

3 Comments
2024/04/26
02:44 UTC

3

Anxiety-Gabapentin

I’ve been on 800 gabapentin for anxiety and it makes me numb to emotions and unable to sleep. My body is relaxed and chill but I can’t sleep and I’m taking everything as prescribed. Any advice outside of more drugs? Or more drugs? Need real long term help please.

4 Comments
2024/04/24
12:45 UTC

2

Screenshot of Math Trainer

0 Comments
2024/04/18
08:44 UTC

1

How can I learn to instantly calculate the number of letters in a sentence.

ex: I want food: 9, There is no war in Ba-sin-se: 21 (probably)

I know there are people who do this and I want to know how it works.

0 Comments
2024/04/10
16:46 UTC

2

Skills development

I'm back at practicing again after a few year lapse.

I try to practice every day.

My progression usually looks like.

  1. single digit mult and addition - sub 1 second

  2. subtraction complements - sub 1 second

  3. two digit addition/subtraction - sub 2 second

  4. two digit multiplication

11-19 - sub 3 ( usually gets down to sub 2 rote)

21-29 - sub 3 (usually get down to sub 2 rote)

squares 11-99 - sub 1 second ( peg for difference of squares) - rote

generic two digit crosswise multiplication - sub 3

3 and 4 digit squares - a^2 + 2ab + b^2 sub 5

3 and 4 digit multiplication - crosswise - no specific target.

and then I usual roll into maintenance and focus on precalculus - algebra and trig

then calc, linear alg, number theory, analysis, stats etc till life distracts me and I lapse again.

Any suggestions for additional mental calculation practice in the progression?

I know some of you practice mental calculation for competition so you might have useful suggestions I have never tried.

thanks,

snoo.

0 Comments
2024/04/08
17:47 UTC

1

Personal project website to practice mental arithmetic

Hi,

I have made some UI/UX changes to https://quickmaffs.com/

The next problem is now generated automatically, hopefully this makes for a better experience!

1 Comment
2024/04/08
16:21 UTC

5

Mental multiplications.

Two rules are elementary for multiplication, memory and cross calculations. The first thing is to memorize the multiplication tables from 1-1000. This involves memorizing the result of multiplying numbers up to ten by all numbers up to a thousand, the second rule is to perform cross multiplication. This involves multiplying the numbers starting with the largest. 2223 22=4. 22=4. We have 44, 32=6, 44+6=50. 32=6 We have 506. 2223=506.

1 Comment
2024/04/07
01:11 UTC

6

My basics as a human calculator.

I'm the kind of person who can multiply three-digit numbers in seconds and calculate the roots of six-digit numbers, essentially a human calculator. My general recommendation for anyone who wants to master mental calculation is to learn a series of tables, for multiplications for example, it is advisable to memorize the tables from 1 to 1000. If you want to master division, I recommend memorizing the result of dividing a thousand by the first 9 natural numbers. To master the square root, you must memorize the squares of the first 31 natural numbers. To master the calculation of cube roots Memorize the cubes of the first ten numbers. I will be uploading better explained tips when I have more time.

16 Comments
2024/04/05
19:14 UTC

9

Are there any books, blogs, etc, that I can read and study mental math?

Also, are there apps for Android and Windows, etc, for practice? And finally, how advanced does mental math get? Oh yeah, one more thing: the same questions apply, and any response will be much appreciated.

8 Comments
2024/03/30
19:01 UTC

1

Personal project website to practice mental arithmetic

Hello fellow mental math enthusiasts, I have created a personal project website to practice basic arithmetic.

Please check it out: https://quickmaffs.com/, and let me know what you think

The plan is to add more games as the website progresses.

3 Comments
2024/03/08
23:04 UTC

1

Another one! CompuTiles: Using ALL the given integers, compute to the target value at the top (95). Operations can be used as many times as you want. Play more at www.CompuTiles.com

4 Comments
2024/03/05
23:58 UTC

3

Another one! CompuTiles: Using ALL number tiles, compute to the target value at the top (101). Operations can be used as many times as you want. Play more at www.CompuTiles.com

2 Comments
2024/02/29
23:21 UTC

1

TecMath YouTube channel no where to be found?

I have been self studying and have been primarily learning on TecMac via YouTube. I watched videos last night, however I went on YouTube today and the channel has disappeared - does anyone know what happened?

3 Comments
2024/02/21
21:45 UTC

3

Mental Math Practice Site

Hey - wanted to share this multiplayer online practice site I developed -

Has a ton of mental math levels (Hard Arithmetic, Zetamac, Prime Factorization, Sum of Squares), etc - would love to see if y'all can beat my rating/high scores in Hard Arithmetic :)

Happy to add more levels if you have suggestions!

https://mathdash.live/arena

2 Comments
2024/02/21
08:23 UTC

5

CompuTiles: Using ALL number tiles, compute to the target value at the top (37). Operations can be used as many times as you want

7 Comments
2024/02/20
18:10 UTC

3

Paying a $1.03 bill with $5.05 to get fewer coins in change. How to get the 5cent in your head.

Trying to avoid pennies in change.

I've seen people do this mentally and I know there must be a trick but in my example how do you mentally get that 5 cents to add to your $5 bill? What's the mental trick?

By way of example:

The bill is $1.03. I have a $5 bill, some nickels, and two quarters in my pocket.

If I hand the clerk a $5 bill I'm due back $3.97. That will mean I will get back 3x$1. 3xQuarters 2xDimes & 2xPennies. 7 coins. and 3 bills.

But if I hand the clerk a $5 bill + 1x Nickel. I am due back $4.02. I'll get 4x$1bill, and 2xpennies. Only two coins. That's preferable

So how do you do this IN YOUR HEAD for other amounts?

It doesn't have to be the absolute minimum, but just fewer coins in your change and easy to do mentally.

I've seen folks do this in an instant. I have never learned how to do that myself.

How is it done?

I think I have a trick but want to see if there is a better one from someone else. My trick starts with mentally calculating the change with trying to reduce how many coins you get back.

Of course, if you have the pennies and you want no coins back in change that is a no-brainer. You just pay $5.03 and get back 4 $1 bills. I'm not talking about that. That's trivial.

2 Comments
2024/02/09
03:10 UTC

3

Making no progress... How to build intuition of computations

Hey all,

I've been practicing for about 1/2 weeks now (I would say 15m a day?, sometimes more sometimes less). I read Secrets of mental math (I'm still practicing some techs) but Im not really making any progress. I started about 12 integer problems (think zetamac esc) in 2 mins, now I can get 20, but still around 18 avg. I was able to make that jump fairly quickly but I cap out at 23 if I get very easy problems. It seems like others can make very quick progress in 1/2 weeks so I'm not sure why I'm not... Perhaps I need to use close together method more? master compliments? I feel like my issue is that I still need to "solve" things. If I get say, 524 - 278. Ill do 524 - 300 = 224. But then Ill have to say "compliment of 78 is ... 22, plus 24 is 46. so 246!" but it just takes I feel so much longer than it should. It's even worse when the numbers aren't 'nice' or I need to remember large numbers or need to compute more things (multiplication). I just feel like I don't have an intuition? of numbers, and still need to 'say' them in my head. Any advice?

1 Comment
2024/01/29
17:26 UTC

11

Mental Math Memory

Hello, I have always been terrible at mental math, and it is a personal goal to drastically improve by the end of the year. I am reading books on Vedic Math techniques (ancient mental math wisdom). However, what fails me is memory. For example:

A way to calculate 93*65 = 6045

- 5*3 = 5 (carry 1)

- ((5*9)+(3*6)) + 1(carried over) = 4 (6 carried over)

- (9*6) + 6(carried over) = 60

But by the time I get to the final step 60. I have forgotten what the first two digits of the answers are. Additionally, iI often forget what I have carried over. It gets especially harder with longer numbers where I forget the question.

Someone mentioned Memory Palace, and I've been working on it. But I do not understand how memory palace works for quick mental math. By the time I have moved through the room to extract the different numbers first to multiply them and then pick out the answers, I might as well write it down.

Please advise on what I am doing wrong or for alternative suggestions.

7 Comments
2024/01/28
02:54 UTC

4

Techmath

guys does anyone know what happened to the techmath channel all the videos are private if anyone has them downloaded to a drive or something could you send it please.

3 Comments
2024/01/11
13:40 UTC

2

What are you teaching your child together with metal math?

As a parent where do you see the best results in teaching mental math to your child? What makes them feel better after or before mental math?

2 Comments
2023/12/22
11:29 UTC

0

Abacus mental math

Ill keep this concise since im on a phone. It seems that abacus math, if mastered, is the fastest way to do addition. Unfortunately there are hardly any English resources to learn it. If anybody know some good resources or even simple tips, please share.

6 Comments
2023/11/20
03:28 UTC

10

Mental math training web app

Hi everyone!

I have created and am working on a web application to practice mental math and would be happy about feedback. It's free to use because I wanted to create something I personally use to get better. You can check it out here:

drillyourskill.com

Let me know what you think and if you have any suggestions for improvement!

9 Comments
2023/11/04
11:44 UTC

5

Global Mental Math League/Competition

I wanted to share a new mental math project on here. The recently launched/still developing website for the project is mentalcalculation.org
The newly launched Global Mental Calculators Association contains five of the most successful recent mental calculators at the international level as well as a math professor well known to mental math enthusiasts.

If you are interested in mental math -- please go to the website and take a look. We are looking for serious competitors for the Calculation League (it is remote but will be rather competitive), advice and ideas about developing the project, anyone willing to give organizational or technical support or advice, and resources relating to mental math.

-Sam Engel

0 Comments
2023/10/03
19:24 UTC

1

What processes does anyone wanting to do mental math with larger and larger numbers practice?

4 Comments
2023/09/18
02:15 UTC

1

Irregular fraction to percentage easy calculations

I’m asking this to be able to quickly calculate, or even closely estimate to within a few percentage points, odds at a poker table.

Simply put, how can I take fractions such as 17/44 and in my head figure out that the percentage is ~38%?

1 Comment
2023/09/14
00:27 UTC

3

Introducing Numero - a fun mental math challenge!

Hey peeps, if you liked Digits from New York Times Games, you might like this game!

Introducing Numero, a math puzzle game that helps train your mental math and pattern recognition.

Play Time Trial to race against the clock. How many times can you solve to the target value in 30 seconds?

Too easy? Try out the harder difficulties!

Play Practice to train with no time on the clock!

Play Random to switch it up and solve for random target values.

Play Multiplayer to go head-to-head against your friends in three different game modes!

https://numerogame.com

I’m a new developer so please let me know if you have any comments or suggestions!! I'd love to have any feedback.

3 Comments
2023/09/08
20:58 UTC

4

Screenshot of Math Trainer

4 Comments
2023/08/30
08:29 UTC

Back To Top