Algebra... Which is larger? (I)



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

Explain your answer clearly with examples.


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8 comments:

  1. Answer
    5n is bigger.

    Example 1 : (5+n) x 2n= 2n(5+n)
    Example 2 : (5n) x 2n= 10n

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    2. Example 1 : (5+n) x 2n= 2n(5+n)
      Should be : (5+n) x 2n= 10n+(nxn)x2
      =10n+(2n)x(2n)
      =10n+(2n)(2n)
      =10n+(n4)
      Example 2 : (5n) x 2n= 10n
      Should be : (5n) x 2n = 10x(n)x(n)
      =(10n)+(10n)

      n4* = (n)x(n)x(n)x(n)

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  3. The answer depends because if n is 1 then 5+n is greater
    example : 5n = 5
    : 5+n = 6

    If n is 2 or above then 5n is greater
    example : 5n = 10
    : 5+n = 7

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  4. Take n as 1 : 5n = 5
    5+n=5+1=6

    Take n as 2 : 5n=10
    5+n=5+2=7

    Take n as 3 : 5n=15
    5+n=5+3=8


    Therefore, the answer will depend on the number n itself. If n is 1, 5n < 5+n . If n is 2 or higher , than 5n > 5+n.

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  5. Both may be bigger than the other depending on what n is.

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  6. 5n is bigger.
    As 5n= 5 x n
    and 5+n=(5+n).

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