Question

If a*b equals the remainder when a+b is divided by 12,then (11*10)*9=................

Answer 1

@sirm3d yes ?

Answer 2

IS 6 THE ANSWER

Answer 3

yes it is.

Answer 4

Yes but how do i do it lol :D

Answer 5

(11 * 10) * 9
= (9) * 9
= 6

Answer 6

just perform the operation inside the parentheses first

Answer 7

please dont confuse me

Answer 8

what is the value of 11 * 10 ?

Answer 9

110

Answer 10

or 11+10/2

Answer 11

that is not multiplication

Answer 12

its simple
firstly solve the bracket 110
now divide it by 12
remainder is 2
multiply 2 by 9,its 18
divide 18 by 12
remainder is 6

Answer 13

a * b means you add a and b (a +b), divide by 12, and get the remainder

Answer 14

@nitz a * b = the remainder when (a + b) is divided by 12.

Answer 15

SHOW ME THE WHOLE SOLUTION 0-0

Answer 16

11 * 10 means add the two numbers, divide the sum by 12, and get the remainder.
so 11 * 10 = remainder in (11+10) divided by 12
or 11 * 10 = 2

Answer 17

Let a*b=R
So that means we have
\[\frac{a+b}{12}= Q+\frac{R}{12}\]
Q is for Quotient
I'm about to replace the remainder, R with a*b
So we have
\[12 \frac{a+b}{12}=12(Q+\frac{a*b}{12})\]
\[a+b=12Q+a*b\]
Solving for a*b gives us:
\[a*b=a+b-12Q\]

Answer 18

\[11 * 10=11+10-12Q\]
\[11*10=21-12Q\]
Q=1 so we don't get a negative
\[21-12(1)=21-12=9\]

Answer 19

don't mind the quotient. the result of the operation is the remainder only. FORGET the quotient Q

Answer 20

Now you try 9*9

Answer 21

Remainders shouldn't be negative is why I said take Q to be 1

Answer 22

\[\text{ \check} 10*11=9 =R\]
\[\frac{10+11}{12}=\frac{21}{12}=Q+\frac{R}{12}=1+\frac{9}{12}\]
12 goes into 21 1 time

Answer 23

Thanks a lot everyone.