Chapter 4: Algebra... Which is larger in magnitude?

Which is larger in magnitude?

5 + n or  5n

Explain your answer clearly with examples.

Enter your response in Comments.

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35 comments:

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  4. It depends on the value of n. If for example, n is 10, 5 + n would be 15, while 5n would be 50.Thus, 5n would be greater.
    But, if n is 0.2, 5+n would be 5.2, while 5n would be 1.Thus, 5+n would then be greater.

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  5. 5n as 5+n is n + 5 but 5n is n x n x n x n x n.

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  6. 5n as 5+n is smaller than 5 x n cuz 5n=5 x n but 5 + n is 5 + n. idk how to explain ps.
    EG. let n be 10. 5+10=15 but 5 x 10 = 50
    The exception is if n is a negative number.
    EG: if n is -1. 5+(-1)=4 but 5 x (-1) is -5 and 4 is bigger than -5

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  7. It depends on what n is, because if n is 0, 5+n would be more than 5n. Whereas if n was 10, 5+n would be less than 5n. Therefore, it is not possible to tell if 5+n is more than 5n or not.

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  8. Depends.

    e.g.
    n=10
    5+10=15
    5*10=50

    e.g.
    n=(-10)
    5+(-10)=(-5)
    5*(-10)=(-50)

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  10. It depends. This is because that in this case, if you let n as 1 , then 5+1=6, while 5x1=5, then 5+n is bigger. But if n is 10, then 5+10=15, and 5x10=50 then 5n is bigger.

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  11. It depends.

    If n ≤ 1, 5+n (e.g. 5+1 = 6) will be greater than 5n (e.g. 5 * 1 = 5) // 5 + n (e.g 5 + 0 = 5) will be greater than (e.g. 5 * 0 = 0)
    If n > 1, 5n (e.g. 5 * 2 = 10) will be greater than 5+n (e.g. 5 + 2 =7)

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  12. It depends. 5N could be bigger, or 5+N is bigger

    Example:

    Let N be 1

    So 5N is 5x1
    =5
    and 5+N is 5+1
    =6

    Or,

    let N be 4

    so 5N=5x4
    =20

    and 5+N=5+4
    =9

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  13. 5n would always be larger than 5+n if "n" is more than 1. If "n" is 1, than 5n would be smaller than 5+n.

    Example: n=1
    5*1=5
    5+1=6 (5+n is larger than 5n)

    Example 2: n=10
    5*10=50
    5+10+15 (5n is larger than 5+n in this case, where "n" is more than 1)

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    Replies
    1. 2) If "n" is 0, then 5n would be smaller than 5+n.

      Example: n=1
      5*0=0
      5+0=5

      Delete
    2. If 5n<5+n
      = n<1.25

      If 5n>5+n
      "n" must be more than 1.25.
      If "n" is 1.25, the two numbers are the same.

      Delete
  14. It can be bigger or smaller.
    1)n=2
    5n=5x2=10
    5+n=5+2=7
    So, 5n is bigger.

    2)n=-2
    5n=5x-2=-10
    5+n=5+(-2)=3
    So, 5+n is bigger.

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  15. 5n is larger in magnitude than 5+n. For example, let n be 3 and 5+n would be equal to 5+3=8 and thus, 5n would be equal to 5x3=15 and thus we can conclude that 5n is larger in magnitude than 5+n as 5n is multiplication and 5+n is addition.

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  16. It depends on what is n because if n is 5,then first sum will be 10. The second sum will be 25.
    However if n is 1 then the first sum will be 6 and the second sum will be 5.

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  17. It depends on what is n because if n is 5,then first sum will be 10. The second sum will be 25.
    However if n is 1 then the first sum will be 6 and the second sum will be 5.

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  18. It depends on what is the value of n.

    E.g. N=1
    5+1=6
    1*5=5
    In this case 5+n is larger than 5n

    E.g N=2
    5+2=7
    5*2=10
    In this case 5n is larger than 5+n

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  19. if n is 1 or a smaller number(can be negative number too), 5+n would be larger than 5n if n is 1 ( 5+1=6, 5x1=5 ) but if n is above 1, 5n will be larger than 5+n (5+2=7,5x2=10)

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  20. 5n is greater than 5+n for most cases for positive whole numbers for example (n=10);(5+10 =15)<(5x10=50)
    But if 'n' is a negative number , 0 or a decimal, 5+n is grater than 5n (5+0=5)>(5x0=0)

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  21. If n is a positive number, 5n is larger than 5+n. eg. n is 3, 5+3=8, 5x3=15. If n is a negative number or 1, 5n will be smaller than 5+n. eg. 5x-2=-10, 5+-2=3. So we can't tell which is bigger.

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  22. It depends on the value of n.If n is a positive a number and it is a whole number above 1,5n will be more than 5+n.But when n is negative or decimal below 1 5+n will have a larger value than 5n

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  24. Let n=6,
    5+n=5+6
    5n=5x6

    Thus, it is obvious that 5n is greater than 5+n, assuming n=natural number and rational number. (n >1)

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    Replies
    1. 5xn=5+n
      5xn-n=5
      4n=5
      n=5/4
      n=1.25

      Delete
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  26. 5+n will be larger than 5n if n=1 eg.[5+1>5(1)].
    5n will be larger 5+n if it is greater than 1.eg.[5+10<5(10)].
    If n is a negative no. or 0, 5+n will be greater than 5n [5+(-1)>5(-1)]

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  27. It depends on whether n is a positive or a negative number. Whether it is a whole number or a decimal/fraction. If it is a positive and a whole number then 5n will have a larger magnitude than 5+n but if it is a negative and decimal/fraction number then 5+n will have a larger magnitude than 5n.

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  29. If 5n = 5 + n
    5n - n = 5 + n - n
    4n = 5
    n = 5/4
    =1.25
    =1 1/4

    So, if n > 5 + n
    n > 1.25

    And if n < 5 +n
    n < 5 + n

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