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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=................

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  1. hba
    • 3 years ago
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    @sirm3d yes ?

  2. nitz
    • 3 years ago
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    IS 6 THE ANSWER

  3. sirm3d
    • 3 years ago
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    yes it is.

  4. hba
    • 3 years ago
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    Yes but how do i do it lol :D

  5. sirm3d
    • 3 years ago
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    (11 * 10) * 9 = (9) * 9 = 6

  6. sirm3d
    • 3 years ago
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    just perform the operation inside the parentheses first

  7. hba
    • 3 years ago
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    please dont confuse me

  8. sirm3d
    • 3 years ago
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    what is the value of 11 * 10 ?

  9. hba
    • 3 years ago
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    110

  10. hba
    • 3 years ago
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    or 11+10/2

  11. sirm3d
    • 3 years ago
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    that is not multiplication

  12. nitz
    • 3 years ago
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    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

  13. sirm3d
    • 3 years ago
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    a * b means you add a and b (a +b), divide by 12, and get the remainder

  14. sirm3d
    • 3 years ago
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    @nitz a * b = the remainder when (a + b) is divided by 12.

  15. hba
    • 3 years ago
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    SHOW ME THE WHOLE SOLUTION 0-0

  16. sirm3d
    • 3 years ago
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    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

  17. freckles
    • 3 years ago
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    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: \[a*b=a+b-12Q\]

  18. freckles
    • 3 years ago
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    \[11 * 10=11+10-12Q\] \[11*10=21-12Q\] Q=1 so we don't get a negative \[21-12(1)=21-12=9\]

  19. sirm3d
    • 3 years ago
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    don't mind the quotient. the result of the operation is the remainder only. FORGET the quotient Q

  20. freckles
    • 3 years ago
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    Now you try 9*9

  21. freckles
    • 3 years ago
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    Remainders shouldn't be negative is why I said take Q to be 1

  22. freckles
    • 3 years ago
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    \[\text{ \check} 10*11=9 =R\] \[\frac{10+11}{12}=\frac{21}{12}=Q+\frac{R}{12}=1+\frac{9}{12}\] 12 goes into 21 1 time

  23. hba
    • 3 years ago
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    Thanks a lot everyone.

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