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Mathematics Symbols are very important to learn mathematics, on using symbols we can easily understand.
Mathematics Symbols can be categorized on their importance in the following ways:
- Mathematics symbols - Number
- Mathematics symbols - Basic
- Mathematics symbols - Algebraic
- Mathematics symbols - Geometric
- Mathematics symbols - Trigonometry
- Mathematics symbols - Set Theory
- Mathematics symbols - Statistics & Probability
- Mathematics symbols - Calculus And Analysis
- Mathematics symbols - Logical
- Mathematics symbols - Roman
- Mathematics symbols - Greek
- Mathematics symbols - Miscellaneous
Now we shall learn /discuss second topic Mathematics symbols - Basic on this post
These are very important Basic Tools frequently used by us
Symbol
Name of Symbol
Definition / Meaning
Illustration
=
Sign of Equality / Equal sign
equality
1+3 =4
1+3 is equal to 4
≠
Not equal sign
inequality
-4 ≠ 4
-4 is not equal to 4
≈
Approximately equal
approximation
sin(0.0001) ≈ 0.0001,
a ≈ b means a is approximately
equals to b
>
Strict inequality
greater than
9 > 4
9 is greater than 4
<
Strict inequality
less than
-3 < -2
-3 is less than -2
≥
Inequality
greater than or equals to
15 ≥ 14,
a ≥ b means a is greater than
or equals to b
≤
Inequality
less than or equals to
-1 ≤ 5,
a≤ b means a is less than or equals to b
( )
Parentheses
calculate expression inside first
-2 × (3+5) = -16
[ ]
Brackets
calculate expression inside first
[(1+3)×(1+5)] = 24
+
Plus sign
0 + 1 = 1 or 1 +1 = 2 etc
−
Minus sign
5-2 = 3 or -2 − 1 = -3 etc
±
Plus - Minus
both plus and minus operations
4 ± 5 = 9 or -1
∓
Minus - Plus
both minus and plus operations
4 ∓ 5 = -1 or 9
*
2 * 4 = 8 or 1*1 = 1 etc
×
multiplication
2 × 4 = 8 or -2 x -3 = 6 etc
⋅
multiplication
2 ⋅ 4 = 8 or -2 .3 = -6 etc
÷
10÷ 2 = 5 Division by 0 is not possible
/
division
10 / 2 = 5
- Horizontal line Horizontal line - generally used for fractions
mod
Modulo
remainder calculation
3 mod 2 = 1
.
Period /Point sign
decimal point, decimal separator
3.56 = 3+56/100
ab
Power / Index
exponent
43 = 4x4x4= 64
a^b
Caret
exponent
(-3) ^ 3 = (-3) x (-3) x (-3) = -27 etc
√a
Square root of positive number
√p ⋅ √p = p, where p is any number
√25 = ±5
√100 = ±10
√625 = ±25 etc
3√a
Cube root
3√p ⋅ 3√p ⋅ 3√p =p,
where p is any number
3√1 = 1
3√27 = 3
3√125 = 5
3√1000 = 10 etc
4√a
Fourth root
4√p ⋅ 4√p ⋅ 4√p ⋅ 4√p = p where p is any number
4√1 = ±1
4√16 = ±4
4√81 = ±3
4√10000 = ±10 etc
n√a
The n-th root of any number
Radical
for n=5, n√32 = 2
%
Percent
1% = 1/100
10% × 50 = 5
‰
Per-mile
1‰ = 1/1000 = 0.1%
10‰ × 50 = 0.5
ppm
Part per million
1ppm = 1/1000000
10ppm × 50 = 0.0005
ppb
Part per-billion
1ppb = 1/1000000000
10ppb × 50 = 5×10-7
ppt
Part per-trillion
1ppt = 10-12
10ppt × 50 = 5×10-10
Symbol
|
Name of Symbol
|
Definition / Meaning
|
Illustration
|
=
|
Sign of Equality / Equal sign
|
equality
|
1+3 =4
1+3 is equal to 4 |
≠
|
Not equal sign
|
inequality
|
-4 ≠ 4
-4 is not equal to 4 |
≈
|
Approximately equal
|
approximation
|
sin(0.0001) ≈ 0.0001,
a ≈ b means a is approximately equals to b |
>
|
Strict inequality
|
greater than
|
9 > 4
9 is greater than 4 |
<
|
Strict inequality
|
less than
|
-3 < -2
-3 is less than -2 |
≥
|
Inequality
|
greater than or equals to
|
15 ≥ 14,
a ≥ b means a is greater than or equals to b |
≤
|
Inequality
|
less than or equals to
|
-1 ≤ 5,
a≤ b means a is less than or equals to b |
( )
|
Parentheses
|
calculate expression inside first
|
-2 × (3+5) = -16
|
[ ]
|
Brackets
|
calculate expression inside first
|
[(1+3)×(1+5)] = 24
|
+
|
Plus sign
|
0 + 1 = 1 or 1 +1 = 2 etc
|
|
−
|
Minus sign
|
5-2 = 3 or -2 − 1 = -3 etc
|
|
±
|
Plus - Minus
|
both plus and minus operations
|
4 ± 5 = 9 or -1
|
∓
|
Minus - Plus
|
both minus and plus operations
|
4 ∓ 5 = -1 or 9
|
*
|
2 * 4 = 8 or 1*1 = 1 etc
|
||
×
|
multiplication
|
2 × 4 = 8 or -2 x -3 = 6 etc
|
|
⋅
|
multiplication
|
2 ⋅ 4 = 8 or -2 .3 = -6 etc
|
|
÷
|
10÷ 2 = 5 Division by 0 is not possible
|
||
/
|
division
|
10 / 2 = 5
|
|
| - Horizontal line | Horizontal line - | generally used for fractions | |
mod
|
Modulo
|
remainder calculation
|
3 mod 2 = 1
|
.
|
Period /Point sign
|
decimal point, decimal separator
|
3.56 = 3+56/100
|
ab
|
Power / Index
|
exponent
|
43 = 4x4x4= 64
|
a^b
|
Caret
|
exponent
|
(-3) ^ 3 = (-3) x (-3) x (-3) = -27 etc
|
√a
|
Square root of positive number
|
√p ⋅ √p = p, where p is any number
|
√25 = ±5
√100 = ±10 √625 = ±25 etc |
3√a
|
Cube root
|
3√p ⋅ 3√p ⋅ 3√p =p,
where p is any number
|
3√1 = 1
3√27 = 3 3√125 = 5 3√1000 = 10 etc |
4√a
|
Fourth root
|
4√p ⋅ 4√p ⋅ 4√p ⋅ 4√p = p where p is any number
|
4√1 = ±1
4√16 = ±4 4√81 = ±3 4√10000 = ±10 etc |
n√a
|
The n-th root of any number
|
Radical
|
for n=5, n√32 = 2
|
%
|
Percent
|
1% = 1/100
|
10% × 50 = 5
|
‰
|
Per-mile
|
1‰ = 1/1000 = 0.1%
|
10‰ × 50 = 0.5
|
ppm
|
Part per million
|
1ppm = 1/1000000
|
10ppm × 50 = 0.0005
|
ppb
|
Part per-billion
|
1ppb = 1/1000000000
|
10ppb × 50 = 5×10-7
|
ppt
|
Part per-trillion
|
1ppt = 10-12
|
10ppt × 50 = 5×10-10
|
