Thursday, 20 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.
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53 comments:

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  7. Replies
    1. or 5+n

      5n is 5 times n
      5+n is 5 plus n

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    2. However if n is 1, 5+n is larger.

      So the ans is both

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    3. sorry what i meant to say its not 5 to the power i meant times. sorry i got mixed up

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    4. example if n is 2, 5+2=7 but if it is 5 x 2 it is = to 10

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    5. but there is some exception if n is 1, it would be like 5+1= 6 and 5 x 1= 5 it may not be always larger

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    1. 5n is 5 times n while 5+n is lesser since it is just addend n to the 5 while 5n have n times 5

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    2. Examples are like 2+5=7 while 2 times 5 equals 10

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    3. In most cases it is 5n however if n is a 1 than 5+n is bigger as 5+1=6 while 1 times 5 equals 5

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    4. so it can be both answer 5n or 5+n

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  11. 5n is larger than 5+n
    5n = 5 x n

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  12. 5n because 5 + n is 5 + 1n while 5n is 5 x n

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  13. 5n
    for example: n=4
    5+4 =9
    5X2=20

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  14. 5n. Because 5n is 5×n, while the other is 5+n.

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    Replies
    1. Example:
      If n=0, 5n would be 5×0 which equals to 0, and 5+n=5+0, which equals to 5.

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  16. Replies
    1. if n is 0 then 5+n (6) is greater than 5xn (5)
      if n is 10 then 5xn (50) is greater than 5+n(15)

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  19. Joshua Chua Group 5

    5n is larger as in algebra, x and / should not be seen in expressions or equations.
    Lets say that n=10,so 5n means 5 x n=5x10=50
    n +5 =10+5=15..
    So 5n is larger in magnitude

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    1. but if n is lets say -4,
      5+n will give you 5+(-4)=-1
      5n will give you 5 x (-4)=-20
      So it actually varies from number to number

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  20. 5n is larger because 5n is 5+n whereas 5n is 5 x n hence 5n is larger.

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  21. 5n because 5+n=5+1n and 5n = 5 1n s

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  22. Either could be larger as n could be any number as it is not defined and therefore the answer cannot be derived simply from this.
    "n" could be any number. It could be smaller than 1, it could be larger than 100.

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    1. For example,
      If "n" is larger than 1.5, then 5n would be larger.
      If "n" is smaller than 1, then 5+n would be larger.
      If "n" is equal to 1, then 5+n will still be larger.

      Thus, the answer to this may be either one. There is no way of figuring out the answer as "n" is not defined and the answer cannot be found.

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  23. 5n. 5n is 5xn, which is larger than 5 + n. If n is 3, 5x3=15, while 5+3=8. Thus 5n is larger.

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  24. 5n as multiplication is larger than addition

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  25. If n is more than 1, 5n is bigger as 5x2=10 while 5+2=7
    if n is 0 or 1, 5+n is more as 5+1=6 and 5+0=5 while 5x1=10 and 5x0=0

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  26. Both are larger depending on what N is. if it N is a negative number or 0, 5+N is larger. So if N is -5, 5+N is 0 while 5N is -25. So 5+N is larger.
    If n is not a negative number, 5N is larger. If N is 2, 5+N is 7, 5N is 10. So 5N is larger.

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  28. 5n cause 5n= 5XN

    e.g. n=3 so

    5XN= 5X3
    = 15

    and 5+N= 5+3
    = 8

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  29. If n is zero, or below, 5+n is larger.
    If n is 1, 5+n and 5n 5+n is larger.
    If n is above zero, 5n is larger.

    5n = 5*n
    if n>1, 5*n>5+n
    if n=1, 5*n<5+n
    if n=0, 5*n<5+n
    if n≤-1, 5*n<5+n

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  30. It depends on what n is.
    For example, if n=1, 5n=5x1=5, 5+n=5+1=6. Therefore, 5+n would be larger.
    However, if n=2, 5n=5x2=10, 5+n=5+2=7. Therefore, 5n would be larger.

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  31. It depends
    If n is a negative number 5 + n is more e.g. 5+n=5+-3=2 while 5n=5x-3=-15
    If n is a positive number 5n is more e.g. 5+n=5+4=9 while 5n=5 x 4 =20

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  32. The answer varies on whether or not 'n' is a negative number or not. If 'n' is a negative number, example -2, 5n would then be 5 x (-2) would be same as 5 x 2 which is -10 and 5 + n would be the same as 5 + (-2) and that would be 3.

    If 'n' is a positive number ,for example 2, then 5n would be 5 x 2 which would be 10. 5 + n would be 7.

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  33. The answer will vary, if n is 0, 5x0=0, 5+0=5, so in this case, 5+n is larger. But if n is 2, 5x2=10, 5+2=7, so this time, 5xn is larger.

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  34. If it is a fraction, for example 1/2, then 5n would be 5 x 1/2 which is 2.5 = 5/2 = 2 1/2. 5 +n would be 5 1/2.

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  35. 5+n can either be equal to, greater than or smaller than 5n, depending on the value of n.
    1. 5+n=5n
    n= 1.25
    2. 5+n<5n
    n>1.25
    3. 5+n>5n
    n<1.25

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