I Can't Subtract 7 or Hold Seven Digits in My Head, but Life Still Works: Mental Abacus, Working Memory, and Outsourcing Arithmetic

You can be bad at mental arithmetic and still function perfectly well in modern life.

How reading tools work

Listen reads the article aloud. Speed read shows phrases in sequence at your chosen pace. Language practice compares available translations. Save keeps a bookmark in this browser; find it in the player’s bookmarks.

Share this article
I Can't Subtract 7 or Hold Seven Digits in My Head, but Life Still Works: Mental Abacus, Working Memory, and Outsourcing Arithmetic
AI-generated image
Advertisement
Advertisement

The five-second answer

You can be bad at mental arithmetic and still function perfectly well in modern life.

We have calculators, phones, cashless payments, spreadsheets, AI, automatic registers, and other humans. If a cheap, safe object might fit a space, sometimes the rational move is simply to try it rather than spend half an hour optimizing dimensions.

So no, weak mental arithmetic does not mean life is over.

At the same time, mental-abacus experts doing flash arithmetic at ridiculous speed are genuinely impressive.

Research supports both sides of this story. Abacus training can improve arithmetic, and some studies find benefits on closely related visuospatial working-memory tasks. But it is not a magic upgrade that raises general intelligence and every cognitive ability.

The useful conclusion is simple:

It would be cool to have the skill.

You do not need the skill for most of life.

And whatever still causes friction can often be moved outside the head.


1. Subtracting 7 somehow turns into a debate about how the brain represents numbers

Start at 100 and keep subtracting 7.

Someone says, "Why not subtract 10 and add 3?"

100 to 90 to 93.

Then 93 to 83 to 86.

Suddenly it feels mechanical.

Another person says, "Why not just subtract 7?"

Then an abacus user arrives and says, "That is close to how abacus arithmetic works."

At that point this is no longer just subtraction.

It is a demonstration of different internal representations.

One person subtracts 7 directly.

Another decomposes 7 into 10 minus 3.

Another manipulates place values.

An expert may update the state of an imagined abacus.

The equation is the same.

The internal algorithm is not.

Fast thinkers are not necessarily using one secret universal method. Often they have a highly practiced method that has become so automatic that it barely feels like thinking.


2. If your imaginary abacus refuses to start, that is exactly what should happen

A beginner hears about mental abacus and tries the obvious experiment.

Imagine an abacus.

A desk appears.

A vaguely rectangular object appears.

Half of it is blurry.

"How many beads were there?"

"What does the upper bead mean?"

"Which bead moves when I subtract 7?"

Process terminated.

No arithmetic was performed.

That is not evidence of a defective imagination.

Mental abacus is not simply the ability to visualize a photograph of an abacus.

Training starts with a physical device, links bead configurations to numerical values, repeats operations thousands of times, and gradually transfers those state changes into an imagined device.[3]

So an untrained person trying to calculate on a mental abacus is basically launching software that has an icon but no installed operating instructions.

The interface exists.

The skill does not.

That is normal.


3. The real trick is changing the format of the number

Most people hold digits in something close to a verbal or phonological format.

Five. Eight. Three. Seven.

Experts often do something different.

Behavioral and neuroimaging studies suggest that skilled mental-abacus users represent numbers in a visuospatial format and recruit frontoparietal systems associated with visuospatial processing more heavily than nonexperts during calculation.[3][4]

So a seven-digit number does not have to remain seven little verbal tokens hanging in the air.

It can be encoded as a structured bead state.

Intermediate results can be updated as changes in that state.

This helps explain why flash arithmetic looks almost supernatural.

The expert is not necessarily performing the same internal procedure as a novice, only faster.

The expert has built a specialized representation.

This also means that poor ordinary digit retention does not automatically make mental-abacus learning impossible.

Training changes the strategy.

However, it does not mean everyone will reach competition level. In one randomized childhood study, initial spatial working memory predicted how well students learned the skill.[1]


4. Childhood training probably could have made mental arithmetic stronger

It would also be wrong to dismiss abacus training as useless.

A randomized controlled trial followed 204 children who began at ages five to seven for three years. Students taught mental abacus outperformed controls on arithmetic measures.[1]

So the skill is teachable.

It can be learned in ordinary classroom conditions.

A separate study followed children through five school years with two hours of abacus-based mental calculation training per week. The trained group performed better on arithmetic and visuospatial working-memory tasks.[2]

A randomized 20-day study in young adults also reported improvements in verbal and visuospatial working-memory measures after abacus training.[6]

Therefore, "nothing would have changed if I had learned abacus as a child" is too strong.

Arithmetic, number handling, and skills close to the trained system might indeed have been better.

Looking at flash-calculation experts and wondering, "Could I have learned some of that if I had started young?" is a reasonable question.


5. But abacus is not a universal brain upgrade

Now the important limitation.

In the 204-child randomized trial, arithmetic improved, but researchers did not find broad changes in basic cognitive capacities.[1]

In the five-year training study, the trained group did better on arithmetic and visuospatial working memory, but not on Raven's intelligence test.[2]

The authors explicitly noted that the transfer effects were limited relative to the length and intensity of training.

This fits a much larger debate in cognitive training.

A large meta-analysis of working-memory training found reliable gains on trained or closely related tasks, but no convincing evidence of broad far transfer to intelligence, reading, arithmetic, or other real-world cognitive skills when stronger control conditions were used.[5]

So the pattern is roughly:

Train abacus and you get better at abacus and arithmetic.

Closely related numerical or visuospatial skills may improve.

General intelligence does not automatically rise.

Everyday judgment is even farther away.

Abacus is better thought of as a specialized accelerator than a CPU replacement.


6. Understanding in class and reproducing under test conditions are different tasks

Some people can follow mathematics during a lesson and then feel as if the entire system disappears during an exam.

That does not have to mean they never understood the material.

During instruction, the teacher supplies structure.

Here is the formula.

Here is the next transformation.

Here is the intermediate result.

During a test, the student must identify the problem type, retrieve the method, hold numbers and intermediate results, choose the next step, and monitor time.

The cognitive workload is different.

Math anxiety can add another load. A 2022 meta-analysis found a small but significant negative association between math anxiety and working memory.[7]

A 2024 review describes the math-anxiety and achievement relationship as a potentially reciprocal cycle involving lower achievement, anxiety, and avoidance.[8]

So "I understood the lesson" and "I could independently reproduce it under time pressure" should not be treated as the same ability.


7. Modern life lets us move arithmetic outside the skull

Now return to practical life.

Calculator.

Phone.

Spreadsheet.

AI.

Cashless payment.

An automatic register.

A clerk who says, "You do not need that coin."

There is no requirement to host an internal arithmetic championship every time you buy lunch.

In many real tasks, the important human work is not multiplying or subtracting manually.

It is deciding what should be calculated.

Checking whether the inputs are correct.

Checking whether the output makes sense.

Science works this way too.

Humans choose a model.

Computers execute the calculation.

Humans interpret and verify the result.

Using a calculator is not cheating.

For large calculations, trusting unaided mental arithmetic can be the less responsible choice.

Externalization is not failure.

It is system design.


8. Sometimes the cheapest calculation is a reversible experiment

Daily life contains tiny optimization problems.

"What diameter do I need?"

"What size fits this gap?"

"Which one should I buy?"

You can measure everything precisely.

Sometimes you should.

But if the item is very cheap, safe, and easy to replace, trying one can cost less than perfect analysis.

Buy one.

Test it.

If it does not fit, repurpose it or replace it.

A low-cost reversible experiment can dominate thirty minutes of mental optimization.

That is not a defeat of intelligence.

It is a search strategy.

But reversibility matters.

If the item affects safety, supports weight, connects to water or electricity, is expensive, creates large waste, or affects another person's time or trust, measurement comes first.

"Can I undo this?" and "Will a failed attempt impose little cost on others?" are separate questions.

Cheap and reversible: experiment.

High impact: measure first.


9. Not needing a skill does not mean the skill is not cool

Flash arithmetic is not necessary for ordinary life.

It is still cool.

That is not a contradiction.

You do not need to play piano.

You do not need a backflip.

You do not need to multiply ten-digit numbers in your head.

But being able to do those things can be beautiful, satisfying, and technically fascinating.

So an adult can try abacus because the skill itself is interesting, not because cognition needs emergency repair.

A small adult training study shows that change is possible.[6]

It does not show that twenty days turns a beginner into a competition-level flash-calculation expert.

If the hobby is fun, learn it.

If the goal is simply to get the correct number, use a calculator.

Both are rational.


10. Conclusion: abacus is serious technology, and so is the calculator

Expert mental-abacus users really are doing something remarkable.

They transform numbers into a visuospatial representation, manipulate an internal bead state, and rely on processes that differ from ordinary verbal digit maintenance.

Training from childhood can substantially improve arithmetic.

Some related working-memory benefits have also been reported.

But abacus is not a universal intelligence potion.

And in modern life, most arithmetic can be externalized.

Coins go to the register.

Calculations go to the calculator.

Large formulas go to computers.

Estimation can go to AI.

Low-cost reversible purchases can sometimes be tested rather than perfectly optimized.

The important question is no longer only:

"Can I calculate this in my head?"

It is also:

"Where should this calculation live?"

You may never beat an elite mental-abacus competitor.

Fortunately, you do not have to enter the tournament.

And when you watch flash arithmetic anyway, the correct reaction can still be:

"Okay, that is ridiculously cool."

References

[1] Barner, D. et al. (2016). Learning Mathematics in a Visuospatial Format: A Randomized, Controlled Trial of Mental Abacus Instruction. Child Development. https://doi.org/10.1111/cdev.12515

[2] Wang, C. et al. (2019). Training on Abacus-Based Mental Calculation Enhances Visuospatial Working Memory in Children. Journal of Neuroscience. https://doi.org/10.1523/JNEUROSCI.3195-18.2019

[3] Wang, C. (2020). A Review of the Effects of Abacus Training on Cognitive Functions and Neural Systems in Humans. Frontiers in Neuroscience. https://doi.org/10.3389/fnins.2020.00913

[4] Hanakawa, T. et al. (2003). Neural correlates underlying mental calculation in abacus experts. NeuroImage. https://doi.org/10.1016/S1053-8119(03)00050-8

[5] Melby-Lervåg, M., Redick, T. S., & Hulme, C. (2016). Working Memory Training Does Not Improve Performance on Measures of Intelligence or Other Measures of Far Transfer. Perspectives on Psychological Science. https://doi.org/10.1177/1745691616635612

[6] Dong, S. et al. (2016). The impact of abacus training on working memory and underlying neural correlates in young adults. Neuroscience. https://doi.org/10.1016/j.neuroscience.2016.06.051

[7] Finell, J. et al. (2022). Working Memory and Its Mediating Role on the Relationship of Math Anxiety and Math Performance: A Meta-Analysis. Frontiers in Psychology. https://doi.org/10.3389/fpsyg.2021.798090

[8] Ramirez, G. et al. (2024). Unraveling the interplay between math anxiety and math achievement. Trends in Cognitive Sciences. https://doi.org/10.1016/j.tics.2024.07.006


AdBooks on this topic

  • Books on memory

    Book search results for memory, the topic of this article.

This article contains affiliate links (ads). About advertising As an Amazon Associate I earn from qualifying purchases.

Read this today

Each one answers a question readers of this article tend to ask next.

Browse all articles

Advertisement

Find other articles

All articles

Mendoi-chan

Written by

Mendoi-chan

She turns friction at work and in everyday life into clear structure and practical next steps.

About