Math Knowledge

Introduction of math division sign:

In mathematics, especially in elementary arithmetic, division (÷) is the arithmetic operation that is the inverse of multiplication.

Specifically, if c times b equals a, written:
       c x b = a
where b is not zero, then a divided by b equals c, written:
       `a/b= c`

For instance,
      `6/3 =2`
since
      2 x 3=6
In the above expression, a is called the dividend, b the divisor and c the quotient. (Source: Wikipedia)

Concept of math division sign:

The size of each group formed, quotient of a,b and c. Quantitative division contain a set of size a and forming groups of size b. The number of groups size that can be formed, in c, is the quotient of a and b.

Math Division sign algorithm

The division sign algorithm is the theorem that accurately expresses the output of the division process of integers. The theorem has integers and the quotient q,remainder r that are exist and it has the unique a and divisor d, with d ≠ 0.

The theorem as follows: There exist exclusive integer’s q and r such that a = q d + r and 0 ≤ r < | d |, where | d | denotes the absolute value of d.

Examples problems for math division sign:

Problem 1:
Solve `30/2`
Solution:
         `30/2 ` = 15

Problem 2
Solve `( x/y) /(p/ r)`
Solution:
         `( x/y) /(p/ r) =(x/y) x (r/p) = (x r) / (y p)`

Problem 3:
Find the value for `(x + i y) / (r + i s)`
Solution:
      `(x + i y) / (r + i s) = (x r + y s) / ( r ^2 + s^2 ) + i( y r - x s) / ( r^2 + s^2 )`
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Practice problem for math division sign:

Problem 1:-

Find the value for 45/5.

Answer: 9

Problem 2:-

Solve `( pqr )/ (pq)`

Answer: r