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Mathematical Symbols



Symbol
Symbol Name
Meaning / definition
Example
=
equality
7 = 5+2
7 is equal to 5+2
not equal sign
inequality
1 ≠ 2
1 is not equal to 2
approximately equal
approximation
sin(0.01) ≈ 0.01,
x ≈ y means x is approximately equal to y
> 
strict inequality
greater than
5 > 4
5 is greater than 4
< 
strict inequality
less than
4 < 5
4 is less than 5
inequality
greater than or equal to
5 ≥ 4,
x ≥ y means x is greater than or equal to y
inequality
less than or equal to
4 ≤ 5,
x ≤ y means x is less than or equal to y
( )
parentheses
calculate expression inside first
2 × (3+5) = 16
[ ]
brackets
calculate expression inside first
[(1+2)×(1+5)] = 18
+
addition
1 + 1 = 2
subtraction
2 − 1 = 1
±
plus - minus
both plus and minus operations
3 ± 5 = 8 and -2
±
minus - plus
both minus and plus operations
3 5 = -2 and 8
*
multiplication
2 * 3 = 6
×
multiplication
2 × 3 = 6
multiplication
2 3 = 6
÷
division
6 ÷ 2 = 3
/
division
6 / 2 = 3
division / fraction
\frac{6}{2}=3
mod
modulo
remainder calculation
7 mod 2 = 1
.
period
decimal point, decimal separator
2.56 = 2+56/100
ab
power
exponent
23 = 8
a^b
caret
exponent
2 ^ 3 = 8
a
square root
 a  = a
√9 = ±3
3a
cube root
3 3√a   3√a  = a
3√8 = 2
4a
fourth root
4 4√a   4√a   4√a = a
4√16 = ±2
na
n-th root (radical)

for n=3, n√8 = 2
%
1% = 1/100
10% × 30 = 3
1‰ = 1/1000 = 0.1%
10‰ × 30 = 0.3


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