Sunday, May 24, 2020

Mathematics symbols - Basic

 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:

  1. Mathematics symbols - Number
  2. Mathematics symbols Basic
  3. Mathematics symbols - Algebraic
  4. Mathematics symbols - Geometric
  5. Mathematics symbols - Trigonometry
  6. Mathematics symbols - Set Theory
  7. Mathematics symbols - Statistics & Probability
  8. Mathematics symbols - Calculus And Analysis
  9. Mathematics symbols - Logical
  10. Mathematics symbols - Roman
  11. Mathematics symbols Greek
  12. 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,
ab 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,
ameans 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 lineHorizontal 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
3a
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
4a
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
na
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

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