## Wednesday, 17 February 2016

### Algebra... Which is larger? (I)

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

Indicate any assumptions made.

This question is compulsory.

1. It depends on what n is. If n is 2, 5+n will be 7. But if 5n is compared, 10 will be bigger than 5+n

2. 5n is greater as it is 5 times of n while 5+n is only 5 plus n

3. it can be both as n is variable for example 5+1 and 5x1 in this case 5+4 can be larger. If it is 5+2 and 5x 2, 5x2 is larger ok

4. It depends if n if larger than 1. If n is larger than 1, 5n is larger. If n is smaller than 2, 5+n is larger.

5. It depends on what 'n' is. Because if 'n' is 1, 5 + 1 = 6 but 5n would be 5 and 5+n would be larger than 5n. If 'n' was 2, 5+n=7 and 5n would be 10 so now, 5n is larger than 5+n.

6. 5+1 ***** sry error typeinng

7. 5n. 5+n would be 5 adding n. But for 5n it would be 5 x n, which means nxnxnxnxn. therefore 5n is bigger

8. 5n. 5n can be the product of n and 5 which means 5n(s) while 5+n is only one n.

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11. it really depends as if n is 1 and 5 of 1 is 5 and 5 plus 1 is 6 therefore the one on the left is correct.if n is 5, 5 of n is 25 and 5 plus 5 is 10 therefore the right is correct

12. It depends....
If n is lower than 1,like 2/5 left will be larger.If the number is 1.26 or more,the one on the right will be greater e.g:n is 4,5X4 is 20.4+5=9 so right can be greater.

13. 5n is 5 times of n but 5+n is only n+5, if n=2.Then 5n is 10 and 5+n is 7

1. but if n is 0 then 5+n is more than 5n

14. 5n is larger in magnitude. As 5n is equal to 5 times n and 5+n=5+n, we can conclude that 5n is larger. assuming n is 2, 5 times 2 equals to 10 and 5+2=7.

15. it really depends as if n is 1 and 5 of 1 is 5 and 5 plus 1 is 6 therefore the one on the left is correct.if n is 5, 5 of n is 25 and 5 plus 5 is 10 therefore the right is correct

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17. It depends.
If n is 1, then 5+n will be bigger as 5+1=6 but 5x1=5
But if n is 5, then 5n will be bigger as 5+5=10 but 5x5=25

18. It depends because if we assume n is 1, when we do the arithmetics, 5+n=6 is larger than 5n=5.But 5n could also be larger for an example, n=5 so if we calculate it, 5n=25 is larger than n+5=6

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20. For this,It really depends on what N is because if n=1,it will be 5+1+6 and 5 *1=5 and if n=4,it will be 5+4=9 and 4*5=20.So there is a different answer and it really depends on what n is.

21. In some cases,5n can be bigger than 5+n for example,n=6. n+6=11 5n=30,so in this case,5n is bigger,
But in another case,5+n can be bigger for example n=1 n+5=6 but 5n=5,so in this case 5+n is bigger

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23. Unless n is zero or 1, no matter what the number is, n times 5 will always have a larger amount added to it than if only 5 is added.

n = 0

5 x n = 0
n + 5 = 0

n = 1
5n = 5
5 + n = 6

24. Unless n is zero or 1, no matter what the number is, n times 5 will always have a larger amount added to it than if only 5 is added.

n = 0

5 x n = 0
n + 5 = 0

n = 1
5n = 5
5 + n = 6

1. If n is 0, 5+n=5, not 0

25. It depends.
5N-5+N=4N-5
ONE n can be 0.5
4n will then be 2
So 5+n is bigger than 5n
But if n=2
4n=8
5n will then be bigger than 5+n

26. If N is a positive integer, example 5, then 5+5 is equals to 10, while 5n (5x5) is equals to 25.
However, if n is -5, then -5+5 is 0, while -5x5 = -25.

27. Unless n is zero or 1, no matter what the number is, n times 5 will always have a larger amount added to it than if only 5 is added.

n = 0

5 x n = 0
n + 5 = 0

n = 1
5n = 5
5 + n = 6

28. In some cases,5n can be bigger than 5+n for example,n=6. n+6=11 5n=30,so in this case,5n is bigger,
But in another case,5+n can be bigger for example n=1 n+5=6 but 5n=5,so in this case 5+n is bigger

29. It depends.
If n=1, 5+n=6 and 5n=5
But if n=2, then 5+n=7 and 5n=10.

30. 5n is bigger. If n is 2 then 5n is 10 and 5+n is 7

1. But is n=1, then 5n is 5 and 5+n is 6, so 5+n is bigger in this case.

31. 5n is bigger but if n is 1 then 5+n would be larger

32. 5n can be bigger or equal to 5+n, unless n is 1 or more, as 5+1 = 6, while 5n is 5.

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