Question

In the group g = {2, 4, 6, 8) under multiplication modulo 10, the identity element is

Answer 1

The answer is 6.

In the group g = {2, 4, 6, 8} under multiplication modulo 10, the identity element is 6.

In Mathematics, an identity element is also referred to as a neutral element. When this element is paired with another element using a binary element, the result is the same as the non-identity element.

For real numbers, the identity element for real numbers under the addition operation is 0. Similarly, the identity element for real numbers under the multiplication operation is 1.

Answer 2

Modulo which is also called modulus is an operation where it finds the remainder of the two dividing number.

12 module 10 = 2

24 module 10 =4

36 module 10 = 6

48 module 10 = 8

Hence the number that did not change is 6 so the answer is 6