Friday, 21 February 2014

Investigation: Algebra

There are two questions for you to attempt over the weekend.

Question 1 - To be done on a piece of writing paper.
Question 2 - To be answered in Comments section.


QUESTION 1
Investigate the following question and prove that they are similar / different.


QUESTION 2
Which is larger, 5 + n or 5n?

27 comments:

  1. 5n is larger as 5n is 5xn which is 5 groups of n, 5+n is just adding n to 5

    ReplyDelete
  2. 5n is larger. 5n is 5 groups of n while 5+n is 5 being added to n.

    ReplyDelete
  3. 5n is larger as it simply 5 ^n which is equals to n+n+n+n+n but 5+n is small because it is just adding n to 5

    ReplyDelete
  4. 5n is larger than 5+n. This is because, when 5 is multiplied by n, it means 5 groups of n. Whereas, when 5 is added by n, it is smaller than 5 times n. The solution can also be done by substituting a whole number into `n'. Then we can see which answer is bigger, n+5 or n^5. Whereas, the answer will differ when n is substituted by 1. When it is substituted by 1, 5+n will have a greater value when compared to 5^n

    ReplyDelete
  5. 5n. Because 5n is 5xn while 5+n is just 5 ADDED to n.

    ReplyDelete
  6. Only if n is less or the same as 1, 5+n is bigger but if n is more than 1, 5n is bigger.

    ReplyDelete
  7. This comment has been removed by the author.

    ReplyDelete
  8. Question 2: 5n is larger as 5n is 5 multiplied by n while 5+n is adding 5 and n

    ReplyDelete
  9. 5n is larger as 5n=5xn while 5+n is smaller as it is addition

    ReplyDelete
  10. 5n is larger as 5n means 5xn,five groups of n,while 5+n is equals to five and n only .

    ReplyDelete
  11. It depends on what the number n is. If n is less than 1.25, than 5+n would be bigger than 5n. However if n is larger than 1.25, than 5n would be larger than 5+n

    ReplyDelete
  12. It depends on the value of n because if n is negative or less than 1.25, 5+n would be bigger than 5+n but if n were to be more than 1.25(thks nicholas) 5*n would be greater

    ReplyDelete
  13. 5n is greater than 5+n as 5n is 5 groups of n while 5+n is just the addition of 5 and n together. However, if n is the same or less than 1, 5n would be smaller than 5+n

    ReplyDelete
  14. 5n is greater than 5+n (in terms of algebra, not what the value of n is) as 5n 5xn while, which is 5 groups of n while 5+n is only adding 1 group of n to 5

    ReplyDelete
  15. It depends on the value of n. Basically, 5n is equals to 5 groups of n while 5+n is just adding 5 to n. 5n is greater then 5+n if the number is above 1. For example, take n as 2, so 5*2=10 while 5 + 2=7. However, if the number is below 1 or negative, 5n is smaller than 5 + n. For example, take n as 0, so 5*0=0 while 5 + 1=6.

    ReplyDelete
  16. It depends on the value of n.
    If the value of n is 0, 5 x n=5x0
    =0

    5 + n=5+0
    =5
    If the value of n is 1,5 x n=5 x 1
    =5

    5 + n=5+1
    =6

    However,this is the only 2 exceptions.If the value on n is greater than 1,5n would be greater.

    5n is 5 groups of n,while 5+n is only n plus 5.

    Example: 5n=5x2
    10

    5+n=5+2
    =7

    Since there is a higher possiblity that 5n is greater than 5+n...

    Answer:5n is greater than 5+n

    ReplyDelete
  17. This comment has been removed by the author.

    ReplyDelete
  18. Answer :Depends
    Explanation:If n is 1.25, then 5+n is bigger. 5+1.25=6.25 which is bigger than 5*1=6.25.
    If n is bigger than 1.25, then 5*n is bigger. 5*n(Bigger than 1.25)=n+n+n+n+n which is bigger than 5+n(Bigger than 1.25)=5+n
    Conclusion :Depends

    ReplyDelete
  19. It depends on the value of n.
    If we take 'n' as 1,

    5+n=5+1
    =6

    5n=5 x n
    = 5 x 1
    =6

    In this case 5+n is greater.

    If 'n' is 2,

    5+n=5+2
    =7

    5n=5 x n
    = 5 x 2
    =10

    In this case 5n is greater.
    Hence the it depends on the value of n.

    ReplyDelete
  20. It depends on the value of n.
    if the value of 'n' is 0 or 1,

    5n will de smaller than 5+n.

    If the value of n is more than 2,

    5n will be greater than 5+n

    ReplyDelete
  21. 5n is bigger than 5+n because 5n is 5 x n where the other is 5+n which results in a different number.

    ReplyDelete
  22. 5n is bigger because
    5n = 5*n
    while
    5+n = 5+n
    Hence,
    5*n > 5+n

    ReplyDelete
  23. This comment has been removed by the author.

    ReplyDelete
  24. This comment has been removed by the author.

    ReplyDelete
  25. This comment has been removed by the author.

    ReplyDelete
  26. It depends on the value of n

    If n is 1 or lower,
    n=1 or lower
    5n=5 or lower

    5+n=6

    5+n is more.


    If n is 2 or higher,
    n= 2 or higher
    5n=10 or higher

    5+n=7

    5n is more.

    ReplyDelete