Monday, April 18, 2011

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

Similar but Different
The two 5s below affect the expressions differently. One known as coefficient while the other is known as a constant. Which is which?

(a) Which is larger in magnitude (size)?

5 + n or  5n


(b) Explain your answer clearly with examples.

Enter your response in comments

25 comments:

  1. a) 5n is bigger
    b) 5+n is only 5 and the value of n added together whereas 5n is five times the value of n

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  2. 5+n can also be be bigger if n is less than 1

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  3. 5+n is technically smaller than 5n as 5n is 5xn but however if n is 1 5+n is bigger then 5n.

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  5. a) It depends on the situation and what x represents.
    b) If x is 1, for example, then 5+n would be equal to 5+1=6 and 5n would be equal to 5. If x is more than one, then 5n would be larger.

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  6. Coefficient = 5 [in 5n]
    Constant = 5 [in 5 + n]
    (a) 5n (Scenario 1) and 5 + n (Scenario 2) are both larger in magnitude , depending on the situation
    (b) Scenario 1 : 5 + n is (5 + n) , 5n is (5 x n) . The one multiplied is larger. Scenario 2 : However, if the value of n is less than 1 or is 1, 5 + n would be larger, as 5n would be less.

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  7. 5n would be bigger in most cases because it is a multiple of the n and not just an addition.

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  8. Coefficient is 5n
    Constant is 5+n
    a)Its depends on what n is
    b)if 4n is bigger than 5,5n is the larger in magnitude.But if 4n is smaller than 5,5+n is larger in magnitude.

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  10. This comment has been removed by the author.

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  11. 5n should have more scenario of when it is bigger than 5+n as it multiplies instead of add

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  12. a) 5n
    b) it is because that 5n is 5 x n but 5 + n is only 5 + n
    multiplication in this case will get a bigger answer

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  13. (a) It depends upon the situation.
    (b) Scenario 1 : Let n be 1, which statement is larger? 5n or 5 + n?
    5 +1 = 6. On the other hand, 5 x 1 = 5. Hence, 5 + n would be bigger.
    Scenario 2 : Let n be 2, which statement is larger? 5n or 5 + n?
    5 + 2 = 7. On the other hand, 5 x 2 = 10. Hence 5n would be bigger.

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  14. The 5 in (5n) is a coefficient.
    The 5 in (5+n) is a constant.
    a) 5n is larger in magnitude. But in some cases 5+n can be bigger.

    b)5n is larger as if you break it up it is 5 x n which is greater than 5+n. However if n is equal to n or lesser, 5+n will be larger.

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  15. a) 5n
    b) For example n=10
    So, n+5 will be 15
    and 5n (without plus) would mean 5x10=50
    15 and 50 has a GREAT difference.

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  16. (a) 5n is bigger in magnitude.
    (b) 5n is a multiplication expression while 5+n is an addition expression.
    For example, if n=5.
    5n=25
    5+5=10
    So 5n is bigger.

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  17. a) 5n
    b) n+5 is not more than 5n as 5+n =5+n whereas 5n=5 x n

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  18. It depends. If n is larger than 1, 5n is bigger. If n is smaller than 1, 5 + n is bigger.

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  20. a) 5n is bigger
    b) For example, if n=5, and 5x5=25 is bigger than 5+5=10.
    But this does not apply to some cases.

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  21. 5n is bigger.
    5n = 5 x n
    5+n < 5n

    Lets take n=2
    so 5+2=7
    5x2=10

    so 5+n < 5n

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  22. (a)5n is larger
    (b)n+5 is not bigger than 5n as 5n is 5 times of n whereas n+5 is just 1 n +5

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  23. a) 5n is bigger
    b) n+5 is not bigger than 5n

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  24. 5n is bigger. It is when the coefficient, n is larger than 1.25.

    5+n can be bigger when n is smaller than 1.25
    They are the same when n is 1.25.

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  25. It depends on the number.
    If n = 1, 5n is 5 while 5+n will be 6.

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