This document provides mathematical notations and their explanations in English. It includes symbols and notations for equality, inequality, approximation, congruence, infinity, addition, subtraction, multiplication, division, exponents, absolute value, fractions, decimals, ratios, square roots and more. Each notation is given both as a symbol and a written explanation in words.

1. In Associated of
Mathematics Department & Education Hub Project
Prasat Wittayakarn School
Prasat District, Surin Province, Thailand
Collected and Edited by Narupon N. Saisema

4. Miscellaneous Symbol
is equal to

5. Miscellaneous Symbol
is not equal to

6. Miscellaneous Symbol
is approximately
equal to

7. Miscellaneous Symbol
is congruence to

8. Miscellaneous Symbol
is greater than

9. Miscellaneous Symbol
is less than

10. Miscellaneous Symbol
is greater than
or equal to

11. Miscellaneous Symbol
is less than
or equal to

12. Miscellaneous Symbol
infinity

13. Miscellaneous Symbol
plus

14. Miscellaneous Symbol
minus

15. Miscellaneous Symbol
Multiply, times

16. Miscellaneous Symbol
Divide

17. How to Read Mathematical Notations?
Negative three

18. How to Read Mathematical Notations?
Negative (number) a

19. Exponentiation

20. • a raised to the power of n
• a raised to the n-th power
• a raised by the exponent of n
• a to the n

21. Exponentiation
4

22. Exponentiation
2
a square

23. Exponentiation
3
a cube

24. Exponentiation
6
Bracket -2 to the sixth

25. Absolute Value
|4|
Absolute value of 4

26. Absolute Value
|-5|
Absolute value of -5

27. Operation
a plus b

28. Operation
a minus b

29. Operation: multiplication
a  b
ab, ab

30. Operation: multiplication
a multiplied b
a times b
a dot b
a  b, ab, ab

31. Operation: Divided
a  b
a/b,
𝑎
𝑏

32. Operation: Divided
a  b, a/b,
𝑎
𝑏
a is divided by b
a divide by b
b divide a

33. Equation
2 + 7 = 9
2 plus 7 equal to 9

34. Equation
7 – 15 = -8
7 minus 15 is -8

35. Equation
4 x 12 = 48
4 times 12 equal 48

36. Equation
12  (-2) = -6
12 divided by -2 is -6

37. Fraction
𝑎
𝑏
a
Over
b

38. Fraction
1
2
One
Over
two
Half

39. Fraction
1
4
One
Over
four
Quarter

40. Fraction
3
4
three
Over
four
3
Quarters

41. Fraction
1
3
one
Over
three
One-
third

42. Fraction
6
11
six
Over
eleven
six-
eleventh

43. Fraction: your turn
3
2
7
2
+ =
10
2

44. Fraction: your turn
8
15
7
15
+ =
15
15

45. Decimal
two point four five

46. Decimal
fifteen point one

47. Decimal
489.106
four hundred eighty nine
point one o six

48. Repeating Decimal
5.111…
Five point one one one
and so forth

49. The ration of a to b

50. The ration of 3 to 5

51. Square root
𝑎
Square root of
(the real number) a

52. Square root
5 The positive
square root
of five

53. Square root
− 8The negative
square root
of