All Math Symbols You Need — The Ultimate Copy and Paste Reference
Every mathematical symbol you’ll ever need — from basic arithmetic to calculus and set theory. Plain Unicode text that pastes into Word, Google Docs, emails, and any app without special software. Click any symbol to copy it instantly.
Basic Operations
The foundational symbols of arithmetic — the ones every student, teacher, and professional needs. These are standard Unicode and display correctly in every application.
| Symbol | Name | Meaning | Unicode | |
|---|---|---|---|---|
| + | Plus Sign | Addition | U+002B | |
| − | Minus Sign | Subtraction (proper minus, not hyphen) | U+2212 | |
| × | Multiplication Sign | Multiply (not letter x) | U+00D7 | |
| ÷ | Division Sign | Divide | U+00F7 | |
| ± | Plus-Minus Sign | Plus or minus (tolerance, error margin) | U+00B1 | |
| ∓ | Minus-or-Plus | Minus or plus (paired with ±) | U+2213 | |
| = | Equals Sign | Equality | U+003D | |
| ≠ | Not Equal To | Inequality | U+2260 | |
| % | Percent | Per hundred | U+0025 | |
| ‰ | Per Mille | Per thousand | U+2030 |
Comparison and Inequality Symbols
Used in algebra, statistics, calculus, and programming to express relationships between quantities. These are among the most frequently needed math symbols outside of basic arithmetic.
| Symbol | Name | Meaning | Unicode | ||
|---|---|---|---|---|---|
| < | Less Than | a < b means a is less than b | U+003C | ||
| U+003E | Less Than or Equal | a ≤ b — a is at most b | U+2264 | ||
| ≥ | Greater Than or Equal | a ≥ b — a is at least b | U+2265 | ||
| ≈ | Almost Equal | Approximately equal — π ≈ 3.14159 | U+2248 | ||
| ≅ | Approximately Equal | Congruent or approximately equal | U+2245 | ||
| ≡ | Identical To | Identically equal / defined as | U+2261 | ||
| ∝ | Proportional To | y ∝ x means y is proportional to x | U+221D | ||
| ≪ | Much Less Than | Significantly smaller | U+226A | ||
| ≫ | Much Greater Than | Significantly larger | U+226B |
Algebra and Common Math Symbols
Calculus Symbols
Essential symbols for differentiation, integration, limits, and summation. Used in university-level mathematics, physics, and engineering notation.
| Symbol | Name | Meaning | Unicode | |
|---|---|---|---|---|
| ∑ | Summation (Sigma) | Sum of a series — ∑ aₙ | U+2211 | |
| ∏ | Product (Pi) | Product of a series — ∏ aₙ | U+220F | |
| ∫ | Integral | Integration — ∫ f(x) dx | U+222B | |
| ∬ | Double Integral | Double integration | U+222C | |
| ∂ | Partial Differential | Partial derivative — ∂f/∂x | U+2202 | |
| ∇ | Nabla (Del) | Gradient, divergence, curl operator | U+2207 | |
| lim | Limit | Limit of a function as x → a | Text | |
| → | Right Arrow | Approaches — as x → 0 | U+2192 | |
| Δ | Delta | Change in — Δx means change in x | U+0394 | |
| ′ | Prime | Derivative — f′(x) | U+2032 | |
| ″ | Double Prime | Second derivative — f″(x) | U+2033 |
Greek Letters Used in Mathematics
Greek letters are the backbone of mathematical notation — from α (alpha) in statistics to Ω (omega) in physics. These are the most commonly needed Greek characters in academic and scientific writing.
Set Theory and Logic Symbols
Used in discrete mathematics, computer science, and formal logic. These symbols express relationships between sets and logical propositions.
| Symbol | Name | Meaning | Unicode | |
|---|---|---|---|---|
| ∈ | Element Of | x ∈ A — x is a member of set A | U+2208 | |
| ∉ | Not Element Of | x ∉ A — x is not in set A | U+2209 | |
| ⊂ | Subset Of | A ⊂ B — A is a subset of B | U+2282 | |
| ⊆ | Subset or Equal | A ⊆ B — subset or equal | U+2286 | |
| ∪ | Union | A ∪ B — all elements in A or B | U+222A | |
| ∩ | Intersection | A ∩ B — elements in both A and B | U+2229 | |
| ∅ | Empty Set | Set with no elements | U+2205 | |
| ∞ | Infinity | Unbounded quantity | U+221E |
| Symbol | Name | Meaning | Unicode | |
|---|---|---|---|---|
| ∧ | Logical AND | p ∧ q — p and q are both true | U+2227 | |
| ∨ | Logical OR | p ∨ q — p or q (or both) are true | U+2228 | |
| ¬ | Logical NOT | ¬p — negation of p | U+00AC | |
| ⇒ | Implies | p ⇒ q — if p then q | U+21D2 | |
| ⇔ | If and Only If | p ⇔ q — p iff q (biconditional) | U+21D4 | |
| ∀ | For All | ∀x — for every x | U+2200 | |
| ∃ | There Exists | ∃x — there is at least one x | U+2203 | |
| ∴ | Therefore | Conclusion follows from premises | U+2234 | |
| ∵ | Because | Reason for the conclusion above | U+2235 |
Geometry Symbols
FAQ
How do I type math symbols without copy-pasting? On Windows, hold Alt and type a numeric code on the numpad (Alt+0177 = ±, Alt+0215 = ×). On Mac, use Option key combinations (Option+= gives ≠, Option+5 gives ∞). On any device, you can also use the operating system’s character picker — Windows key + . on Windows, or Ctrl+Cmd+Space on Mac. For frequent use, copy-pasting from this page is the fastest method.
Will math symbols paste correctly into Word and Google Docs? Yes. All symbols on this page are standard Unicode characters. They paste into Microsoft Word, Google Docs, LibreOffice, Apple Pages, Notion, LaTeX source files, and any text field that accepts Unicode — which is virtually everything. They render in the document’s current font without any special formatting needed.
What is the difference between × (multiplication) and x (letter x)? The multiplication sign × (U+00D7) is a dedicated Unicode character distinct from the letter x. In formal mathematical writing, using the letter x for multiplication is incorrect — the proper symbol is × or a centre dot · (U+00B7). In algebra, multiplication is usually implied (2x means 2 times x) without any symbol.
How do I write fractions using Unicode? Unicode includes prebuilt fractions for the most common values: ½ ¼ ¾ ⅓ ⅔ ⅛ ⅜ ⅝ ⅞. For other fractions, use the fraction slash ⁄ (U+2044) with superscript and subscript digits — e.g. ³⁄₄ for three-quarters. For complex fractions in documents, equation editors (Word’s Equation tool, LaTeX) are more appropriate.
What does ∴ mean in mathematics? The three-dot triangle symbol ∴ means “therefore” — it marks the conclusion of a logical argument. It’s paired with ∵ which means “because” or “since.” Example: All humans are mortal ∵ Socrates is human ∴ Socrates is mortal. These symbols are common in formal proofs and academic mathematics writing.