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

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hba
 3 years ago
Best ResponseYou've already chosen the best response.0Yes but how do i do it lol :D

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1(11 * 10) * 9 = (9) * 9 = 6

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1just perform the operation inside the parentheses first

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1what is the value of 11 * 10 ?

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1that is not multiplication

nitz
 3 years ago
Best ResponseYou've already chosen the best response.0its 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

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1a * b means you add a and b (a +b), divide by 12, and get the remainder

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1@nitz a * b = the remainder when (a + b) is divided by 12.

hba
 3 years ago
Best ResponseYou've already chosen the best response.0SHOW ME THE WHOLE SOLUTION 00

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.111 * 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

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0Let 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: \[a*b=a+b12Q\]

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0\[11 * 10=11+1012Q\] \[11*10=2112Q\] Q=1 so we don't get a negative \[2112(1)=2112=9\]

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1don't mind the quotient. the result of the operation is the remainder only. FORGET the quotient Q

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0Remainders shouldn't be negative is why I said take Q to be 1

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0\[\text{ \check} 10*11=9 =R\] \[\frac{10+11}{12}=\frac{21}{12}=Q+\frac{R}{12}=1+\frac{9}{12}\] 12 goes into 21 1 time
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