Thursday, 13 February 2014

Algebra... Which is larger? (I)



Which is larger in magnitude?
5 + n or  5n

Explain your answer clearly with examples.


Enter your response in Comments.
This question is compulsory.

44 comments:

  1. If n was a number bigger than 1, then 5n would be bigger than 5 + n. However, if n was 1, then 5 + n would be bigger than 5n as 5 + n would equal to 6 and 5n would equal to 1.

    ReplyDelete
    Replies
    1. What's the assumption?
      What if we try a number other than an integer?

      Delete
  2. n represents a number.
    If n was the number 1, 5n would be 5x1=5 while 5+n=5+1=6
    However, if n was 2 (or larger), the equation of 5n would be 5x2(or the larger no.)=10 , whereas 5=n would be 5=2=7

    ReplyDelete
    Replies
    1. What's the assumption?
      What if we try a number other than an integer?

      Delete
  3. If n was 1, 5n = 5 x 1 which is 5 and 5 + n = 5+1= 6. Thus, 5 + n is a larger number than 5n.

    ReplyDelete
    Replies
    1. Have you done enough "testing" of numbers to conclude?

      Delete
  4. This comment has been removed by the author.

    ReplyDelete
  5. You cannot tell.

    If n is 1,
    5 + n = 6 (BIGGER)
    5n = 5

    If n is 5,
    5 + n = 10
    5n= 25 (BIGGER)

    ReplyDelete
    Replies
    1. You have already tested two cases.
      Is that enough to conclude?

      Delete
  6. This comment has been removed by the author.

    ReplyDelete
  7. It depends on what n value is.

    If n is 1, then 5+1=6, while 5x1=5, thus 5+n is bigger than 5n in this scenario.

    However, if n is 2, then 5+2=7, while 5x2=10, thus 5n is bigger in this scenario.
    Thus, which is bigger depends on the value of n.

    ReplyDelete
    Replies
    1. There's an assumption on the type of "n" value we can use.
      What's that assumption?
      Can we narrow it down to use one "n" value to explain?

      Delete
  8. you cannot tell because if n were 1 5+n would be larger but if n were two 5n would be larger.

    ReplyDelete
    Replies
    1. You have already worked out one case.
      What if you test with other n values?

      Delete
  9. 1) You cannot tell.

    2) If "n" is 1
    5xn = 5x1= 5
    5+n = 5+1 = 6
    And in this case,
    5+n is larger than 5xn

    But if "n" is 2
    5xn = 5x2 = 10
    5+n = 5+2 = 7
    And in this case 5xn is larger than 5+n

    ReplyDelete
    Replies
    1. You've already worked out 2 possibilities.
      However, is "n = 1" a good number to test? What's the assumption?

      Delete
  10. 5n is bigger than 5+n only if n is NOT equal to 0 or 1 because if it is, then 5n will be equal to 5x0=0 and 5x1=5 and 5+n will be equal 5+0=5 and 5+1=6 so in both cases 5+n will be bigger.
    If n is any number bigger than 1, then 5n will be bigger.

    ReplyDelete
    Replies
    1. There's an assumption in the value of n you are using to test / create the scenario.
      It seems like you are testing with WHOLE numbers.
      How about extending it beyond?

      Delete
    2. Yes. If n=1.25, then 1.25+5=6.25 & 5X1.25=6.25, so both will be the same in that case.
      If 1/0=n, then both cases will be the infinity. If (square root of -4)=n, then both cases will be, the Unknown
      So, there are 4 possibilities.

      Delete
  11. It depends on what n is. If n=1, then 5+n=5+1=6, and 5n=5xn=5x1=5, so 5+n would be bigger. However, if n=a number bigger than 1, example n=2, then 5+n=5+2=7 and 5n=5xn=5x2=10 so 5n would be bigger.

    ReplyDelete
    Replies
    1. Is "n = 1" a good value to test?
      What assumption is did you have about the type of numbers that we can use to test the cases?

      Delete
  12. This depends on what n is.
    scenario 1:n=1
    5x1=5
    5+1=6
    In this case,5+n is greater
    However,if n=5...
    5x5=25
    5+5=10
    Therefore,in this case,5n is greater

    ReplyDelete
    Replies
    1. Have you tested with enough "n" values?

      Delete
  13. The answer can be either one,here is an explanation and examples.
    Explanation:5+n means 5 added together with n while 5n means 5 multiplied by n.
    Ex. Take n as 4
    5+4(n)=9
    5x4=45
    In this case,5n is greater than 5+n

    However,if n were to be 1 then...
    the sum of 5+1(n) would be 6
    And 5x1(5n)would be 5
    In this case,5+n is greater than 5n.

    Conclusion:Unless a specific value is given for n,the answer is indefinite.

    ReplyDelete
    Replies
    1. Actually there are only 3 possible scenarios.
      Are you able to determine that special "n" value?

      Delete
  14. The answer is indefinite unless a specific value is given to n.
    If n is 1, 5 x n will be 5 while 5 +n is 6. If n is bigger than 1,example 2, 5 x n is 10,while n+5 is 7.Thus the answer can be either one.

    ReplyDelete
    Replies
    1. Is "n = 1" the determining value?
      What assumption is made here?

      Delete
  15. There is no answer until we know the value of n.
    As, if the value of n is 1,
    5+1=6, while 5x1 is 5 so the first one is correct.
    BUT,
    if n = 2 - 5+2=7, while 5x2=10 so the second one is correct.
    So it depends on the value of n

    ReplyDelete
    Replies
    1. So, are you able to determine that specific value of "n"?

      Delete
  16. It could be either as it all depends on the value of n. If n was 1, 5n (5xn) would be 5 while 5+n would be 6, therefore 5+n would be larger in value. However, if n was 2, 5n would be 10 while 5+n would be 7, making 5n the one with the larger value.

    ReplyDelete
    Replies
    1. There's an assumption in the "n" value.
      In addition, with different values of "n", the situation/ scenario will change.
      What kind of "n" values should we test with?

      Delete
  17. We would not be able to know the answer until the value of n is known.
    If the value of n = 1, 5+n = 6, while, 5n = 5.
    If the value of n = 2, 5+n = 7, while, 5n = 10.

    ReplyDelete
    Replies
    1. What can you conclude from the last 2 lines?
      What's the specific value of "n" that will shade more light in the scenarios arise?

      Delete
  18. It depends what n is. If n is a number larger than one then 5n is bigger. If n is 1 then 5 + n is bigger.
    Example: n = number larger than 1 e.g. 2
    5n = 2 x 5 = 10
    5 + n = 5 + 2 = 7 So 5n is bigger
    If n = 1
    5n = 5 x 1 = 5
    5 + n = 5 + 1 = 6
    So 5 + n is bigger

    ReplyDelete
    Replies
    1. Is "n = 1" a good number to test?
      What's the assumption you have when choosing this value?

      Delete
  19. if n is 1 , 5+1=6 then 5+n=6
    then 5n=5 , which means 5+n is bigger
    but
    if n is 2, 5+n=7
    then 5n=10
    which means 5n is bigger

    ReplyDelete
    Replies
    1. Why use "n = 1"?
      Why not other values for "n"?

      Delete
  20. Depending on n, if it is larger than 1, 5n is larger.

    ReplyDelete
    Replies
    1. Check again!
      What assumption did you have about the "n" value?

      Delete
  21. You can't tell whether 5n or 5+n is larger.
    Simply it is because we do not know the value of 'n' .

    If 'n' would be '1' , 5 x n = 5 x 1 = 5 and 5 + n = 5 + 1 = 6 . (thus 5+n is larger)

    If 'n' would be greater than '1' (let's say 5) , 5 x n = 5 x 5 = 25 and 5 + n = 5 + 5 = 10 . (thus 5n is larger)

    ReplyDelete
    Replies
    1. Are there only 2 scenarios?
      Why "n = 1"?
      Are there other possible values of "n" to consider?

      Delete
  22. We do not know if either sum is larger because it depends on the value of n, which we do not know.

    For example, if n is -1, 5+n would equal to 4, which means that this sum is larger as 5n is equal to -5.

    If n is 2, then 5n would equal to 10, which is the larger sum as 5+n would equal to 7.

    ReplyDelete
    Replies
    1. 2 scenarios presented here, and you are using quite diverse values like "-1" and "2".
      Are you able to narrow down to a specific special value of n?

      Delete
  23. There can be 3 scenarios
    1) 5+n is bigger
    2) 5n is bigger
    3) They are both the same.

    Example for 1)
    n=1
    5+1=6
    5x1= 5
    Here 5+n is bigger
    Example for 2)
    n=5
    5+5=10
    5x5=25
    Here 5n is bigger
    Example for 3)
    n=1.25
    5+1.25=6.25
    5x1.25=6.25
    Here they are both the same.

    ReplyDelete