How to Read Equations, Units, and Symbols Aloud in English
Learn a field-aware method for saying equations, units, symbols, and scientific notation aloud in clear English—without memorizing one rigid reading for every mark.
To read technical notation aloud, identify what each mark is doing in that field, then say the relationship as normal English instead of naming characters mechanically.
One symbol, several possible readings: × can mark ordinary multiplication or a vector cross product, and in dimension talk your group may phrase the relationship differently. The mark is not the answer; the context is.
First rule: pronounce the relationship, not the ink
If you see 3 × 4 = 12, “three times four equals twelve” is straightforward. But if A and B are vectors, A × B represents the cross product. OpenStax explicitly distinguishes the vector or cross product from the scalar or dot product. So in that context, “A cross B” communicates the operation; “A times B” can hide the mathematical meaning. See the OpenStax vector-product explanation.
This is why a giant symbol-pronunciation list is a bad learning strategy. It teaches your mouth to react to a shape before your brain has identified the job that shape is doing.
The high-confidence relationship words
Some mathematical relationships are much more stable. The Open University gives these standard meanings in its notation materials: relationship symbols in mathematical language.
| Notation | Useful spoken form | Example |
|---|---|---|
| = | equals / is equal to | x = 5 → “x equals five” |
| ≠ | does not equal / is not equal to | x ≠ 0 → “x does not equal zero” |
| ≈ | is approximately equal to | π ≈ 3.14 → “pi is approximately equal to three point one four” |
| < | is less than | x < 10 → “x is less than ten” |
| > | is greater than | x > 10 → “x is greater than ten” |
| ≤ | is less than or equal to | x ≤ 5 → “x is less than or equal to five” |
| ≥ | is greater than or equal to | x ≥ 5 → “x is greater than or equal to five” |
A useful register contrast: in a formal explanation, “x is approximately equal to five” is clearer than “x is kinda five.” In a quick lab conversation, “x is about five” may be perfectly natural. The mathematics is the same; your rhetorical job changes the wording.
× and ·: the same visual family can do different jobs
Here is the habit to kill:
Learner: “I see ×, so I say times.”
That is context-dependent, not universally wrong. In 6 × 7, “six times seven” is natural. In a vector expression such as A × B, the listener is likely to understand “A times B” as vague multiplication, while you probably intend the specific vector operation. The natural field-aware alternative is “A cross B.”
In dimension talk, the same mark may be packaged differently again. For example, a group may read 20 × 30 mm as “twenty by thirty millimeters.” Treat that as a local-convention example, not a universal rule: verify how your field or group normally says dimensions before carrying that reading elsewhere.
The centered dot has the same problem. In vector mathematics, A · B denotes the dot/scalar product. But NIST also allows a centered dot to indicate multiplication of unit symbols. That does not mean you should automatically speak the word “dot” inside every compound unit. NIST explains multiplication and division in SI unit symbols.
So N·m is normally communicated through the unit names and relationship, not as “N dot m” simply because a dot is printed.
The slash is doing several jobs before lunch
A slash is a perfect example of why “symbol = pronunciation” fails.
- In a fraction such as
a/b, “a over b” may be the clearest reading. - If you are emphasizing an operation, “a divided by b” may fit better.
- In a unit such as
m/s, the relationship is conventionally expressed with per: “meter per second.”
NIST explicitly treats the solidus /, a horizontal fraction line, and negative exponents as alternative ways to express division in unit symbols. More importantly for speaking, its unit-name guidance gives forms such as “meter per second squared.” See NIST’s spelled-out unit-name conventions.
Three repairs worth memorizing
| What the learner says | Classification | What a listener gets | Likely intention | Natural repair |
|---|---|---|---|---|
| “meters slash seconds squared” | unusual / non-idiomatic for a formal unit reading | The notation is probably still decodable. | m/s² | “meters per second squared” |
| “A times B” for a vector cross product | context-dependent | Generic multiplication | The cross product | “A cross B” |
| “x squiggly equals five” for x ≈ 5 | unusual / non-idiomatic in academic explanation | The listener may infer the symbol, but not the intended relation cleanly. | Approximate equality | “x is approximately equal to five” |
Units are spoken chunks, not strings of letters
This is where a little preparation pays off fast. NIST lists derived SI units such as meter per second, meter per second squared, kilogram per cubic meter, and degree Celsius. See NIST’s derived-unit table.
| Written | A useful spoken form |
|---|---|
| 25 μm | twenty-five micrometers |
| 72 km/h | seventy-two kilometers per hour |
| 9.81 m/s² | nine point eight one meters per second squared |
| 20 °C | twenty degrees Celsius |
| kg/m³ | kilograms per cubic meter |
For more complicated compound units, do not improvise a theatrical reading of every exponent and dot while you are presenting. Check the unit name before the talk, mark the phrase in your notes, and rehearse it as one chunk.
Scientific notation: keep the number, power, and unit together
The Open University explicitly gives 2 × 10⁶ as “two times ten to the six.” See its scientific-notation example.
That gives you a clean model:
2 × 10⁶→ “two times ten to the six”3.2 × 10⁻⁴→ “three point two times ten to the minus four”3.2 × 10⁻⁴ m/s²→ “three point two times ten to the minus four meters per second squared”
You may hear slightly different exponent phrasing in different classrooms—“to the power of six,” for example. Do not start a miniature civil war over it. If your group has a stable convention, use it.
Superscripts, subscripts, Greek letters, and notation that needs a local check
Some forms are common enough to give you a starting hypothesis: x² is often “x squared,” and a numbered subscript such as x₁ is often spoken as “x sub one.” Greek letters have conventional names, but pronunciation and the way a full expression is packaged can vary with language background, field, and local teaching practice.
More importantly, a superscript or dot may encode a specific technical operation. A dot over a variable in mechanics, for example, is not merely punctuation. If you have not verified what the notation represents, saying “x dot” may identify the mark while failing to explain the mathematics.
Use this distinction:
- Name the symbol when the listener genuinely needs to identify the written mark.
- Name the relation or quantity when you are explaining what the equation means.
That is also a word-choice trap. “This dot says velocity” is usually less natural and less precise than “the dot denotes a time derivative here” or, when appropriate to your explanation, simply stating the derived quantity. Technical English likes verbs such as denotes, represents, is proportional to, is approximately equal to, and is divided by because they expose the relation.
Five more symbols: say the operation, then the expression
Once you stop naming shapes, several scary-looking symbols become ordinary relationship phrases. These are useful starting readings; the full sentence still depends on what the expression means in your field.
| Notation | Useful spoken form | Bounded example |
|---|---|---|
| ± | plus or minus | 5 ± 0.2 °C → “five plus or minus zero point two degrees Celsius” |
| ∝ | is proportional to | F ∝ a → “F is proportional to a” |
| ∑ | the sum of / summation | ∑ xᵢ can be introduced as “the sum of x sub i”; with limits, say the limits as part of the expression rather than merely saying “sigma” |
| √ | the square root of | √x → “the square root of x” |
| % | percent | 25% → “twenty-five percent” |
| ° | degrees, when it marks angle | 45° → “forty-five degrees”; 20 °C → “twenty degrees Celsius” |
Notice what this table does not say. It does not say every summation is adequately read as “sigma,” every radical can be described by naming a “root sign,” or every degree symbol means temperature. The operation and quantity still control the sentence.
Field-Switch Challenge: choose before you reveal
Now test whether you can choose the phrase from context. Do not open the answers until you have actually said each expression aloud.
1. Arithmetic: 6 × 7 = 42
Reading: “Six times seven equals forty-two.” Here × is ordinary multiplication.
2. Vector mechanics: A × B
Reading: “A cross B” when the expression denotes the vector cross product. The same printed × now represents a different mathematical operation.
3. Equation: v = d/t
Defensible readings: “v equals d over t” or “v equals d divided by t.” Which sounds best depends on whether you are reading a compact formula or emphasizing the operation.
4. Unit: 9.81 m/s²
Reading: “Nine point eight one meters per second squared.” The slash is packaged as the unit relation per.
5. Scientific notation: 2.4 × 10⁻³ m
Reading: “Two point four times ten to the minus three meters.”
6. Inequality: x ≤ 5
Reading: “x is less than or equal to five.”
7. Relationship: F ∝ a
Reading: “F is proportional to a.” Do not stop at the visual label “proportionality sign”; state the relationship the equation is asserting.
What to say when the convention is unclear
Asking is not an admission that you do not understand the formula. It is often the only honest way to learn a local spoken convention.
- “In this group, do you normally say ‘A cross B’ here?”
- “How do you usually read this notation aloud?”
- “Would you say ‘x sub one’ here, or do you use another convention?”
- After a correction: “Thanks—I’ll use that.”
Avoid over-promising certainty: “This symbol is always pronounced…” is a dangerous sentence unless you have a genuinely universal relation in scope. Safer technical language is “Here, this is read as…” or “In this context, I’d say…”.
Your one-formula rehearsal card
Take one equation from your own slide deck. Write these five labels underneath it:
SYMBOL / FIELD / RELATION / SENTENCE / VERIFY
- Mark any symbol whose job could change with context.
- Write the spoken relationship, not merely the character name.
- Expand every compound unit into a spoken phrase.
- Check any field-specific notation against a trusted course, textbook, supervisor, or group convention.
- Say the complete sentence once slowly, once at normal speed, and once while looking only at the slide.
That last step matters. You do not give a research talk by reciting “three point two… times… ten… minus four…” as six separate vocabulary items. You need the whole expression to behave like one piece of speech.
Where FunFluen fits—and where it does not
First verify the notation manually. FunFluen should not be your authority for whether a physics group says a particular symbol one way or another. Once you have a checked sentence, though, repetition becomes useful: hear the wording, say the whole line aloud, and reduce the pauses until the equation sounds like part of the sentence rather than an interruption.
Practice the whole technical sentence with FunFluen. The first step after opening that page is to choose a speaking-practice path; the exact equation from this article is not preloaded.
You do not need a symbol dictionary. You need a decision habit.
The anxiety usually comes from trying to memorize the ink: × is “times,” / is “slash,” · is “dot.” That works until the same marks walk into a different field wearing different jobs.
Instead, ask what the notation means here. Speak that relationship. Build the complete sentence. Then verify the local convention when the field leaves room for choice.
Pick one ugly formula from your own work today—the one you secretly hope nobody asks you to read aloud—and run it through SYMBOL → FIELD → RELATION → SENTENCE → VERIFY. That is how visual understanding becomes spoken control.
For broader ways to turn real content into active language practice, browse the media-based language learning guides.