Basic mathematical symbols

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Below, find a comprehensive list of most basic mathematical symbols used in basic math.

Math Symbols by Topic

The symbols used in school math, each with its meaning and an example. Search, or pick a topic.

70 symbols

Operations and grouping

SymbolMeaningExample
+plus, addition3 + 4 = 7
−minus, subtraction9 − 5 = 4
×times, multiplication6 × 3 = 18
·multiplication dot6 · 3 = 18
÷division12 ÷ 4 = 3
/fraction bar, divided by3⁄4 = 3 ÷ 4 = 0.75
±plus or minusx = ±3 means x = 3 or x = −3
( )parentheses, for grouping2 × (3 + 4) = 14
[ ]brackets, for grouping2[5 − (1 + 2)] = 4
…and so on2, 4, 6, 8, …

Equality and comparison

SymbolMeaningExample
=is equal to5 + 2 = 7
≠is not equal to5 ≠ 7
≈is approximately equal toπ ≈ 3.14
≡is identical to (equal for every value)2(x + 1) ≡ 2x + 2
<is less than3 < 8
>is greater than8 > 3
≤is less than or equal tox ≤ 5: x is 5 or less
≥is greater than or equal toage ≥ 18: 18 or older
∝is proportional toy ∝ x means y = kx

Numbers, powers and roots

SymbolMeaningExample
ana to the nth power (exponent)2³ = 2 × 2 × 2 = 8
√square root√25 = 5
∛cube root∛27 = 3
%percent (out of 100)25% = 25⁄100 = 0.25
|a|absolute value (distance from 0)|−7| = 7
−athe opposite of athe opposite of 6 is −6
a : bratio of a to b3 : 4 (3 cats for every 4 dogs)
a | ba divides b4 | 12, because 12 ÷ 4 = 3
GCFgreatest common factorGCF(12, 18) = 6
LCMleast common multipleLCM(4, 6) = 12
πpi, about 3.14C = πd
∞infinity1, 2, 3, … goes on to ∞
x̄mean (average)for 2, 4, 9: x̄ = 5
∴thereforex + 2 = 5, ∴ x = 3

Sets

SymbolMeaningExample
{ }set bracesA = {1, 2, 3}
∈is an element of2 ∈ {1, 2, 3}
∉is not an element of5 ∉ {1, 2, 3}
⊂is a subset of{1, 2} ⊂ {1, 2, 3}
∪union (in either set){1, 2} ∪ {2, 3} = {1, 2, 3}
∩intersection (in both sets){1, 2} ∩ {2, 3} = {2}
∅empty set{even numbers between 2 and 4} = ∅

Geometry

SymbolMeaningExample
∠angle∠A
∠ABCangle ABC (vertex B in the middle)∠ABC = ∠CBA
m∠ABCthe measure of angle ABCm∠ABC = 40°
°degreea right angle measures 90°
∟right angle markmarks a 90° corner in a drawing
⊥is perpendicular toAB ⊥ CD
∥is parallel toAB ∥ CD
△ABCtriangle ABC△ABC has vertices A, B and C
≅is congruent to (same shape and size)△ABC ≅ △DEF
∼is similar to (same shape)△ABC ∼ △DEF
ABline segment ABhas endpoints A and B
ABray ABstarts at A and goes through B
ABline ABgoes on forever both ways

Letters in formulas

SymbolMeaningExample
Aarearectangle: A = l × w
P or pperimetersquare: P = 4s
CcircumferenceC = πd
Vvolumebox: V = l × w × h
S.A.surface areacube: S.A. = 6s²
L.A.lateral areacylinder: L.A. = 2πrh
Barea of the baseprism: V = Bh
bbase lengthtriangle: A = ½bh
b1, b2the two bases of a trapezoidA = ½(b1 + b2)h
hheightrectangle: A = bh
llength, or slant heightrectangle: P = 2l + 2w
wwidthrectangle: A = lw
sside lengthsquare: A = s²
rradius, or ratecircle: A = πr²
ddiameter, or distanced = 2r
ttimed = r × t
mslope of a liney = mx + b