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hba Group Title

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

  • 2 years ago
  • 2 years ago

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  1. hba Group Title
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    @sirm3d yes ?

    • 2 years ago
  2. nitz Group Title
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    IS 6 THE ANSWER

    • 2 years ago
  3. sirm3d Group Title
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    yes it is.

    • 2 years ago
  4. hba Group Title
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    Yes but how do i do it lol :D

    • 2 years ago
  5. sirm3d Group Title
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    (11 * 10) * 9 = (9) * 9 = 6

    • 2 years ago
  6. sirm3d Group Title
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    just perform the operation inside the parentheses first

    • 2 years ago
  7. hba Group Title
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    please dont confuse me

    • 2 years ago
  8. sirm3d Group Title
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    what is the value of 11 * 10 ?

    • 2 years ago
  9. hba Group Title
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    110

    • 2 years ago
  10. hba Group Title
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    or 11+10/2

    • 2 years ago
  11. sirm3d Group Title
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    that is not multiplication

    • 2 years ago
  12. nitz Group Title
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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

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

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

    • 2 years ago
  15. hba Group Title
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    SHOW ME THE WHOLE SOLUTION 0-0

    • 2 years ago
  16. sirm3d Group Title
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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

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

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

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

    • 2 years ago
  20. freckles Group Title
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    Now you try 9*9

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

    • 2 years ago
  22. freckles Group Title
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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

    • 2 years ago
  23. hba Group Title
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    Thanks a lot everyone.

    • 2 years ago
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