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Roman Numerals & Greek Alphabet

What each Roman numeral is worth and how they combine, plus the full Greek alphabet and where each letter shows up.

Two lookup tables that come up in math, science, and history classes: what each Roman numeral is worth, and the full Greek alphabet with the jobs its letters do in formulas.

Roman Numeral Values

NumeralValue
I1
V5
X10
L50
C100
D500
M1,000

How Roman Numerals Combine

  • Read left to right, and add a numeral that is equal to or smaller than the one before it: VI = 5 + 1 = 6, and XXI = 10 + 10 + 1 = 21.
  • A smaller numeral placed before a larger one is subtracted. Only six pairs work this way: IV (4), IX (9), XL (40), XC (90), CD (400), and CM (900).
  • Don’t repeat a numeral more than three times in a row: 4 is IV, not IIII.
NumberNumeralHow it breaks down
14XIV10 + 4
42XLII40 + 2
99XCIX90 + 9
444CDXLIV400 + 40 + 4
1999MCMXCIX1000 + 900 + 90 + 9
2026MMXXVI1000 + 1000 + 20 + 6

The Greek Alphabet

LetterNameWhere you’ll see it
Α αAlphaAngles; the significance level in statistics
Β βBetaAngles; beta particles; regression coefficients
Γ γGammaGamma rays; the gamma function
Δ δDelta”Change in” (Δx\Delta x); a small change (δ\delta)
Ε εEpsilonA very small quantity; permittivity
Ζ ζZetaThe Riemann zeta function
Η ηEtaEfficiency; viscosity
Θ θThetaAn angle
Ι ιIotaRarely used in formulas
Κ κKappaCurvature; thermal conductivity
Λ λLambdaWavelength; eigenvalues
Μ μMuThe mean; micro- (one millionth); friction coefficient
Ν νNuFrequency
Ξ ξXiA random variable or coordinate
Ο οOmicronRarely used in formulas
Π πPiπ≈3.14159\pi \approx 3.14159; capital Π\Pi means “product of”
Ρ ρRhoDensity; correlation
Σ σSigmaCapital Σ\Sigma means “sum of”; lowercase is standard deviation
Τ τTauTorque; time constant
Υ υUpsilonRarely used in formulas
Φ φPhiThe golden ratio; angles; magnetic flux (Φ\Phi)
Χ χChiThe chi-squared statistic (χ2\chi^2)
Ψ ψPsiThe wave function in physics
Ω ωOmegaOhms (Ω\Omega); angular velocity (ω\omega)

For where these letters appear in real formulas, see the Math Formula Reference.

Frequently Asked Questions

Why is 4 written IV and not IIII?

The standard rule is never to repeat a numeral more than three times, so 4 uses subtraction: one before five. You may still see IIII on clock faces, which is a design tradition, not an error.

How do I read a year like MCMXCIX?

Split it into chunks: M (1000) + CM (900) + XC (90) + IX (9) = 1999. Any pair where a smaller numeral comes first is one chunk that subtracts.

Is there a Roman numeral for zero?

No. The Roman system had no symbol for zero, and there are no negative numerals either. Standard numerals also top out at 3,999 (MMMCMXCIX).

Why do some Greek letters have two common uses?

Each field reuses the letters independently, so the same letter can mean different things in physics and statistics. The subject and the formula around it tell you which meaning applies.

Sources

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