Mathematics 2- 17th June


                                       WELCOME YOUNG INVESTIGATORS......
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Task to do....

Can you find three consecutive numbers where the first is a multiple of 2, the second is a multiple of 3 and the third is a multiple of 4?

 Can you find several examples?
What do you notice?Can you explain your findings?

What if the first is a multiple of 3, the second is a multiple of 4 and the third is a multiple of 5?

What if the first is a multiple of 4, the second is a multiple of 5, and the third is a multiple of 6?

Is there a way to find sets of four consecutive numbers which are multiples of 2, 3, 4 and 5 (in this order)?

Or five consecutive numbers which are multiples of 2, 3, 4, 5 and 6 (in this order)?

23 comments:

  1. UnknownJune 16, 2015 at 9:35 PM

    2, 3, 4
    Yes
    They can be related.
    3, 4, 5
    4, 5, 6
    Yes,by finding the same multiple

    ReplyDelete
  2. UnknownJune 16, 2015 at 9:52 PM

    This comment has been removed by the author.

    ReplyDelete
  3. Merry DominiqueJune 16, 2015 at 9:54 PM

    2 - 3 - 4
    ⬜️Yes, they're related.
    3 - 4 - 5
    4 - 5 - 6
    ⬜️Yes, by trying to find the same multiple.

    ReplyDelete
  4. UnknownJune 16, 2015 at 9:57 PM

    The numbers can be 4,6,8
    We can notice that they are related.
    3,4,5
    4,5,6
    There is a way by trying to find the same multiple.

    ReplyDelete
  5. UnknownJune 16, 2015 at 9:58 PM

    2, 3, 4
    Yes
    They are related.

    3, 4, 5

    4, 5, 6

    Yes, by identifying the same multiple

    ReplyDelete
  6. UnknownJune 16, 2015 at 9:59 PM

    1) 14,15,16
    2)yes they can be related
    3)33,34,35
    4)34,35,36
    5)by finding the same multiple

    ReplyDelete
  7. UnknownJune 16, 2015 at 9:59 PM

    4,5,6
    Yes, They are related
    3,4,5
    4,6,8
    Yes by trying to find the same multiple

    ReplyDelete
  8. UnknownJune 16, 2015 at 10:00 PM

    2,3,4 and 14,15,15 They are related
    Yes
    33,34,35
    34,35,36
    2,3,4,5
    2,3,4,5,6
    Yes there is a way, by finding for the same multiple

    ReplyDelete
  9. UnknownJune 16, 2015 at 10:00 PM

    14,15,16
    Yes they can be related
    33,34,35
    34,35,36
    Yes,by finding the same multiple

    ReplyDelete
  10. UnknownJune 16, 2015 at 10:01 PM

    First: 2,3,4
    Second: yes, they are relaxed
    Third: 3,4,5
    Fourth: 4,5,6
    Fifth: yes, by trying to find the same multiple.

    ReplyDelete
  11. UnknownJune 16, 2015 at 10:06 PM

    2,3,4
    Yes, they are related
    3,4,6
    4,5,6
    Yes, by finding the same multiple

    ReplyDelete
  12. UnknownJune 16, 2015 at 10:10 PM

    2, 3, 4
    Yes
    They are related.

    3, 4, 5

    4, 5, 6

    Yes, by identifying the same multiple

    ReplyDelete
    Replies
    1. adilJune 16, 2015 at 11:03 PM

      This comment has been removed by the author.

      Delete
  13. UnknownJune 16, 2015 at 10:51 PM

    2 3 4
    3 4 5
    4 5 6
    yes

    ReplyDelete
  14. AnonymousJune 16, 2015 at 11:03 PM

    2-3-3
    3-4-5
    4-5-6

    ReplyDelete
  15. UnknownJune 16, 2015 at 11:08 PM

    2,3,4
    Yes they are related
    3,4,5
    4,5,6
    Yes it is possible by identifying the same multiple
    Sammy and Fudail

    ReplyDelete
  16. UnknownJune 17, 2015 at 5:19 AM

    1) 2,3,4 / 26,27,28 / 50,51,52 are all examples of consecutive multiples of 2,3,4. This is made possible in the means that the difference of each multiple consecutively when aligned in a list (2/14 , 27/39 , 52/64) is 12.
    -> 14-2=12 , 39-27=12 , 64-52=12
    2) (taking the example of) 93,94,95-> It is noticed that with 94, it is not possible to get an integer when it is divided by 4, making this set wrong.
    3) (taking the examples of) 44,45,46 / 24,25,26-> It is noticed that only the first and second values are relevant while the third value of the set (the "multiple of 6") is not relevant (46/6=7.6 and 26/6=4.3).
    4/5) You can find sets of 4/5 consecutive multiples of 2,3,4,5(,6) by using multiples of 6 for the hundreds and tens place of the number followed by the consecutive units place.
    -> 122,123,124,125(,126)

    ReplyDelete
  17. Yumn QureshiJune 17, 2015 at 5:45 AM

    1) 2.3.4
    2)yes they actually are related.
    3)3.4.5
    4)4.5.6
    5)yes we can do this by finding the same multiples

    ReplyDelete
  18. UnknownJune 17, 2015 at 5:46 AM

    1)
    2,3,4
    14,15,16|26,27,28|98,99,100 etc.
    The difference between them is always e.g. 2,3,4 = 2+1=3, 3+1=4. As one increases by a certain amount, others also increase by the same amount. That’s the relation.
    2a)
    3,4,5
    No consecutive multiples (besides 3,4,5) but same principle e.g .
    3,4,5(+1)
    6,8,10(+2)
    2b)
    4,5,6
    No consecutive multiples again (besides 4,5,6) but same principle again e.g.
    4,5,6(+1)
    8,10,12(+2)
    3a)
    2,3,4,5
    2,3,4,5(+1)
    4,6,8,10(+2)
    3b)
    3,4,5,6
    3,4,5,6(+1)
    6,8,10,12(+2)
    Other than the original numbers/multiples e.g. 2,3,4,5
    No.
    Ariel Justine N. Panopio
    8-B
    4:46 PM
    6/17/2015

    ReplyDelete
  19. UnknownJune 17, 2015 at 11:29 AM

    2 , 3, 4
    Yes, they are related.
    3 , 4 , 5
    4 , 5 , 6
    Yes you can, by finding the same multiple.

    ReplyDelete
  20. UnknownJune 17, 2015 at 11:51 AM

    1)2-3-4
    14-15-16
    26-27-28
    2) Only 3-4-5
    3) Only 4-5-6
    4) Yes there is a way, which is by finding the same multiples

    ReplyDelete
  21. UnknownJune 17, 2015 at 9:07 PM

    2,3,4
    there are if you multiply them with negative numbers: -2,-3,-4 and others like: 14 15 16 and 98 99 100
    I have noticed that most of them have close multiples and are related in some ways
    3,4,5
    4,5,6
    2,3,4,5
    2,3,4,5

    ReplyDelete
  22. UnknownJune 17, 2015 at 10:07 PM

    14, 15, 16
    26, 27, 28,
    38, 39, 40
    yes, they're related
    63, 64, 65
    64, 65, 66
    yes there is a way, by finding the same multiples

    ReplyDelete

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