Question

Perform the indicated operations:

9+6, (mod 5)
7-11,(mod 12)
4*3,(mod 5)
1 div 2,(mod 5)

Answer 1

Answer and Explanation:

To find : Perform the indicated operations?

Solution :

Modular math is defined as

`(A)/(B)=Q\text{ remainder } R`

or
`A* Q+R=B`

Where, A is the dividend

B is the divisor

Q is the quotient

R is the remainder

The solution is
`A mod B = R`

Now, We perform same in every case

1)
`(9+6), \mod 5`

We can direct add the term,

`15 \mod 5`

Now, we divide 15 by 5 and see the remainder

`5* 3+0=15`

Remainder is 0.

So,
`15 \mod 5=0`

2)
`(7-11), \mod 12`

We can direct subtract the term,

`-4 \mod 12`

Now, we divide -4 by 12 and see the remainder

`12* (-1)+8=-4`

Remainder is 8.

So,
`-4 \mod 12=8`

3)
`(4* 3), \mod 5`

We can direct multiply the term,

`12 \mod 5`

Now, we divide 12 by 5 and see the remainder

`5* 2+2=12`

Remainder is 2.

So,
`12 \mod 5=2`

4)
`(1/ 2), \mod 5`

We can direct divide the term,

`0.5 \mod 5`

Now, we divide 0.5 by 5 and see the remainder

`5* 0+0.5=0.5`

Remainder is 0.5.

So,
`0.5 \mod 5=0.5`