The set of natural numbers is represented by the letter N capital and is made up of all positive numbers. See a representation:
N = {0, +1, + 2, + 3, + 4, + 5, + 6 ...}
In relation to the operation of division of natural numbers, there are four curiosities about its calculation. Recall that the division algorithm is structured as follows:
dividend | divider
remainder quotient
Or
Dividend = divisor x quotient + remainder
Four Fun Facts About Dividing Natural Numbers
- First curiosity: The divisor of the division algorithm can never be zero.
Example:
⇒ 15: 0 → There is no number (quotient) that, multiplied by 0 (divisor), results in 15 (dividend), that is, there is no division by zero.
⇒ 1000: 0 → There is no number (quotient) that, multiplied by 0 (divisor), results in 1000 (dividend), that is, there is no division by zero.
Second Curiosity:Dividing two natural numbers does not always result in a natural number.
Example:
⇒ 5: 3 → 5 and 3 are natural numbers, that is, positive, but when you divide them, the result is a decimal number. Look:
5 | 3
-3 1,6
20
- 18
2
The result obtained for the division was 1.6, which is a decimal number.
Third Curiosity: When the dividend is the number 0, the quotient will always be zero, regardless of the value of the divisor. See an example:
We will call x the numerical value for the divisor:
Dividend ← 0 | x → Divider
Remainder← 0 0 → Quotient
FourthCuriosity:If the divisor and dividend are equal and non-zero numbers, the quotient will always be one.
Example:
Dividend ← 8 | 8 → Divider
Rest ← 0 1 → Quotient
By Naysa Oliveira
Graduated in Mathematics
Source: Brazil School - https://brasilescola.uol.com.br/matematica/curiosidades-sobre-divisao-numeros-naturais.htm
