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

$\frac{A}{B}=Q\text{ remainder } R$

or $A\times Q+R=B$

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

$5\times 3+0=15$

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

$12\times (-1)+8=-4$

Remainder is 8.

So,  $-4 \mod 12=8$

3) $(4\times 3), \mod 5$

We can direct multiply the term,

$12 \mod 5$

Now, we divide 12 by 5 and see the remainder

$5\times 2+2=12$

Remainder is 2.

So, $12 \mod 5=2$

4) $(1\div 2), \mod 5$

We can direct divide the term,

$0.5 \mod 5$

Now, we divide 0.5 by 5 and see the remainder

$5\times 0+0.5=0.5$

Remainder is 0.5.

So,  $0.5 \mod 5=0.5$