How to write Sanskrit numbers 1-100

Natural numbers

In this chapter we deal with the set of natural numbers.

To the natural numbers belong all numbers,
with the help of which any objects can be counted:

\ (\ mathbb {N} = \ {0, 1, 2, 3, 4, 5, \ dots \} \)

The natural numbers are also known as "nonnegative integers".

The prime numbers are a subset of the natural numbers.

Natural numbers: does the 0 belong to it?

... unfortunately there is no clear answer to this question.

It is not mathematically determined whether the 0 is a natural number or not.

We don't think ambiguities are great. What luck that the German Institute for Standardization (DIN for short) has dealt with this question. The DIN standard 5473 states:

The 0 belongs to the natural numbers.

According to the said norm one writes for the natural numbers without the zero: \ (\ mathbb {N} ^ {*} \).
\ (\ mathbb {N} ^ {*} \) is an abbreviation for \ (\ mathbb {N} \ backslash \ {0 \} \).

We hang on to:

DIN standard 5473

Non-negative integers: \ (\ mathbb {N} = \ {0, 1, 2, 3, 4, 5, \ dots \} \)

Positive whole numbers: \ (\ mathbb {N} ^ {*} = \ {1, 2, 3, 4, 5, \ dots \} \)

As is sometimes the case in life, there are some who do not adhere to the applicable regulations. Yes, you heard that right: some authors and teachers do not consider 0 to be a natural number. Bold, isn't it? ;) Sometimes the following applies: \ (\ mathbb {N} = \ {1, 2, 3, 4, 5, \ dots \} \). For the natural numbers with the 0 one usually writes \ (\ mathbb {N} _ {0} \) (= abbreviation for \ (\ mathbb {N} \ cup \ {0 \} \)).

Conclusion: Your textbook or your teacher determines whether the 0 is a natural number. To avoid mistakes in exams, you should stick to the definition you used.

The numbers at a glance

At school and during your studies you will learn, among other things, know the following sets of numbers:

Natural numbers\ (\ mathbb {N} = \ {0, 1, 2, 3, \ dots \} \)
Whole numbers\ (\ mathbb {Z} = \ {\ dots, -3, -2, -1, 0, 1, 2, 3, \ dots \} \)
Rational numbers\ (\ mathbb {Q} = \ {\ frac {m} {n} | m, n \ in \ mathbb {Z}, n \ neq 0 \} \)
Irrational numbers\ (\ mathbb {I} = \ mathbb {R} \ backslash \ mathbb {Q} \)
Real numbers\ (\ mathbb {R} \)
Complex numbers\ (\ mathbb {C} = \ {z = a + bi | a, b \ in \ mathbb {R}, i = \ sqrt {-1} \} \)

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