Communicating Numbers I - Memorable Math
2026-03-31
Techniques to make abstract numbers visceral, memorable, and rooted in human experience.
Translation
Math is no one’s native tongue. Translate numbers into concrete, vivid, meaningful messages that are clear enough to make the numbers unnecessary. The following message will likely be remembered better than the actual percentages:
Among Fortune 500 CEOs, there are more men named James than there are women.
Perspective Phrases
Add brief contextual phrases (e.g., “that’s about the size of 2 California’s”) to improve recall accuracy.
Thought Experiments
Use simple, concrete analogies.
To explain water scarcity, imagine a gallon jug (salt water) and three ice cubes (fresh water); humans can only drink the drops melting off the cubes. That is only 0.025% of the globe’s water which is actually drinkable.
The Power of 1
Focus on a single concrete chunk like 1 employee, 1 day, or 1 game, to avoid the confusion of “big-ism”.
Prototype Scenarios
In the same vein, use stories of a single, representative person, like the young mother you talked to, to make abstract problems relatable.
Favor User-Friendly Numbers
Use small, whole, and rounded numbers which are catchier.
Precision often distracts, “ballpark” numbers on the other hand help the audience grasp the bigger picture.
Psychophysical Numbing
Our emotional response to numbers decreases as they become larger. While we may feel deeply about the suffering of one specific person, the suffering of thousands drowns into the abstract. The reduction of empathy starts as soon as we consider two persons instead of one.
Concrete Counting
Count real things as whole numbers rather than fractions, or percentages, to make the statistics felt.
Instead of “40% of adults,” say “2 out of every 5 people”
Put small percentages into a basket size: “1 out of 500”, feels more real than “0.2% of the population”.
The above applies also to processes over time.
Abstract:
1 murder occurs every 30 minutes in the US.
Concrete:
Every day, 50 people are murdered.
Concrete Units
Also units can be too abstract sometimes. A “microsecond” for example could be transformed into something more demonstrable.
Like 984 feet (0.3 km) of copper wire, which is the length of copper wire a signal travels in a microsecond.
Spread Big Numbers
Big numbers become more digestible if it is explained how they would allocate over time.
There are more than 400 million firearms in the U.S. That’s enough for every man, woman, and child to own one, with enough left over that you could give one to every baby born in America for the next 20 years.
Village of 100
People make more logical mistakes when reasoning from percentages than whole numbers. If you want to keep the comparative precision of percentages but avoid the limits of intangibility, make a “basket” of 100 of whatever you’re sampling, and convert the percentages to whole numbers.
Defer to Expertise
Speak your audience’s language. If your audience knows how to work with one kind of number, use it. Baseball fans understand hit rates like “batting .300” and scientist are used to work with powers of 10 for example.
The MacGyver Principle
Use familiar comparisons, local references, objects used in your field, items in the news.
A Fathom was a maritime measure of depth equal to 6 feet (1.8288 m) one could also describe it as the length of:
- 1 hockey stick—Canada
- 1 tatami mat—Japan
- 1 surfboard—San Diego
- 2 baguettes—France
Simple Multipliers
Favor simple multipliers like 1, 2, or one half. Research showed people understood and recalled number translations best when the multiplier was 1. Precise numbers are forgotten very fast, while simple ones stick.
Target the Counterintuitive
Use comparisons to highlight surprising disparities:
The video game industry is more than 4 times the size of the movie industry, and about 9 times the size of the music industry.
Vividness
Move numbers into the domain of sight, taste, or touch (e.g., comparing tumor sizes to fruit).
Create active, colorful, and sensory images that are “close to you,” such as imagining the Empire State Building tipped over to block a canal.
Shrink/Grow to Human Scale
Bring vast (Mt. Everest) or tiny (nanoparticles) dimensions into the realm of human experience where we are trained to notice things.
Or blow up tiny achievements (like ant navigation) to human sizes to build deep respect.
Personalization
Frame statistics as a personal threat or opportunity (e.g., “toxins in your own tap water”) to wake up the “self” network (concern / egoism) in the brain.
Interdimensional Recasting
If a number doesn’t make sense, convert it into a different type of quantity like time, space, distance, or even cookies.
Convert to Time
Use the audience’s experience with clock and calendar time to explain multipliers.
“A million seconds is 12 days; a billion seconds is 32 years”
Trade Time for Money
Explain costs by showing how much “lifetime” is lost to a current inefficient system.
Accumulate Small Gains
Add up tiny daily time savings over a year to show they equal massive achievements (e.g., “3 weeks of extra class time”).
Ratios to Life Scenarios
Magnify ratios to show real-world financial consequences, such as the difference between having $2,000 in savings vs. $20.
Probability as Countable Things
Express risk in terms of things people can see.
The chance of dying in a skydiving accident is roughly 7 in a million. This may scare people away from skydiving, but this is equivalent to seven words in the whole Harry Potter series. Something that is more tangible.
Statistics in Action
You can translate nutritional counts into well-understood physical actions, like walking two flights of stairs to burn one M&M.
And the “distance to the moon” as “3,871 flights of stairs”.
Life Milestones
Use milestones like a child learning to walk or taking driver’s ed to explain long-term durations.
Transferred Emotion
Identify preexisting pools of emotion and use numbers to justify transferring that emotion to your data.
Florence Nightingale compared hospital mortality to the “Great Plague of London” to spark immediate horror in her audience.
You may also use local landmarks to make a statistic feel active and nearby rather than distant.
Emotional symphonies
Hit multiple harmonious notes (e.g., different infrastructure costs) to build a fuller resonance than one note alone.
Incomparables (Summing Competitors)
To show total dominance, add up all competitors and show that your item is still larger than the whole group.
Category Jumping
Move your comparison to a different class entirely, such as comparing a state’s economy to a nation’s.
“If cows were a country, they would be the 3rd-highest producer of greenhouse gases”
Mentally Walking the Staircase
Use an unfolding story where the audience imagines themselves physically moving through the data.
Sense-Based Demonstrations
Bring numbers into the room using music, smells, or physical items to create an immersive experience.
A manufacturing company was buying 424 different kinds of gloves. Jon Stegner had an intern collect one of each glove. He put all 424 pairs on the executive conference table. That hit harder than any statistic could. Procurement got centralized. Massive savings followed.
Interactive Games
Use physical actions like clapping to explain sub-second margins in sports.
Role-Playing/Substitution
Pick specific people in the room to represent statistics to give them “skin in the game”.
The Encore
Deliver a strong impression with part of your figure, then reveal the remaining reserve as a surprising second punch.
Crystallize-Break
First build a pattern of expectations, then shatter it with a surprising “break”.
Steve Jobs showed the competition’s thinnest laptop (0.8 inches / 2.03 cm) then revealed that the MacBook Air’s thickest part was thinner than the competition’s thinnest
Orientation Landmarks
Provide a few key “landmark” numbers to orient people to unfamiliar scales (e.g., hypothermia zones).
Existing Maps
Put data onto familiar structures like a 24-hour day or a calendar year.
If the history of the universe were one day, humans don’t appear until the final second.
Flexible Analogies
Use simple, well-understood systems (like a soccer team) to model complex workplace dynamics.