remolatg

2021-04-26

The value of the operation [8][7] in

Margot Mill

Skilled2021-04-28Added 106 answers

Definition used:

Congruence.

Let m be an integer greater than 1. If x and y are integers, then x is congruent to y modulo m if x — y is divisible by m. It can be represented as$x=y\pm odm$ . This relation is called as congruence modulo m.

Calculation:

It is known that, [x] + [y] = [x+y].

Then, the value of the expression becomes as follows.

$\left[8\right]\left[7\right]=[8\times 7]$

=[56]

Since$56\equiv 2\pm od6$ . Thus [8][7]=[2] in $Z}_{6$ .

Therefore, the value of the expression is [2].

Congruence.

Let m be an integer greater than 1. If x and y are integers, then x is congruent to y modulo m if x — y is divisible by m. It can be represented as

Calculation:

It is known that, [x] + [y] = [x+y].

Then, the value of the expression becomes as follows.

=[56]

Since

Therefore, the value of the expression is [2].