### (8 March 2011) Chapter 4: Algebra... Which is larger in magnitude?

Which is larger in magnitude?

5 + n or 5n

1. This comment has been removed by the author.

2. It depends on what n is if n is one 5*n=5 while 5+n=6
But if n is two then 5*n=10 while 5+n=7

3. It depends on what n is example if n is a fraction or decimal below 1 5+n would be larger than 5n but if n is a number above 1 5n would be larger

4. 5n is larger than 5+n. That is because 5n is actually 5 times the number n represents, whilst 5+n is only the number that n represents plus 5. Therefore, unless n represents a negative number, 5n will have a larger magnitude than 5+n.

5. It is not possible to tell. If n is a positive number than 5n is larger than 5+n. However if n is a negative number, 5+n is larger than 5n.

6. It depends on the value of n, If n=1, then 5+n is more than 5n as 5+n=6 and 5n=5, if the value of n is more than 1, then 5n is greater as it is 5 times of n and 5+n is just the value of n, +5.

7. It depends whether what value does n represent. If n's value is 1, then equation 1(5+n) will be larger than the latter(5n) However, if n's value is higher than one, the second equation will be larger than the 1st one.

8. 5n is larger than 5+n. If n is 2, then 5n would be 5x2 which is equal to 10 but 5+n is equal to 7 only. This applies even if n is another number. So, 5n is larger.

9. 5n is larger than 5+n, as the n variable does not change, thus the product of 5x n must be greater than 5+n, since 5n is 5 times of n, while 5+n is just 5 + that variable.

10. ANS: depends
Explanation
5n= n+n+n+n+n
If n= to less than 5...
5+n=e.g. n=1 then 1+1+1+1+1=5
5+1=6
so 5+n has a larger magnitude
but
If n= more than 5
n=6 then 6+6+6+6+6=30
5+6=12
so 5n has a larger magnitude

11. It depends on the variable n. If n = 1, 5+n would be more than 5n however if n is 2, 5n would be more than 5+n.

12. It is not possible to tell let's say n=1, that would be 5n=5. That is smaller than 1+5, which is 6. So therefore you cannot determine which is bigger.

13. 5n

assuming that n = 5
n+5 = 10
5n = 25
so 5n is greater

14. Assuming n's value is 1.

5 + 1 = 6
(5)(1) = 5

Assuming n's value is 2.

5 + 2 = 7
(5)(2) = 10

So, it is not possible to tell whether if 5 + n or 5n is larger than the other.
It all depends on the variable, n.

15. 5n is definitely larger as if n=5, 5+n represents 5+5 whereas 5n represents n multiplied by 5 which is 5x5=25...
and that shows that 5n is more than 5+n.

16. Err, to add on to mine, sometimes when n=1, the 5+n would be greater, if not, 5n would be greater

17. It depends on what is the value of n if n<1.25 5+n has more magnitude than 5n whereas if n>1.25 5n has more magnitude than 5+n. If n=1.25 they have the same magnitude

18. Dawn:
5n.
Lets say that n=10.
5+10= 15
5x10=50.
THus, 5n is bigger.

19. If n=1 then 5+n is bigger.
5+1=6
5x1=5

If n=other numbers such as 2, 5n is bigger.
5+2=7
5x2+10

20. It depends on the unknown number n. If n's value is 1, 5+n is greater.
In another case, if n is a positive number then 5n is larger than 5+n. But, if n is a negative number, 5+n will be larger than 5n.

21. It depends on what n is. If n is 1, 5n=5 while 5+n=6.
If n is 10, 5n=50 while 5+n=15

22. It depends.....
If n it is a positive number than 5n is larger than 5 plus n. if n is a negative number, 5 plus n is larger than 5n

23. Depends on "n".
If "n" = 1, 5n = 5, 5+n = 6. 5n < 5+n
If "n" = 2, 5n = 10, 5+n = 7. 5n > 5+n

24. It hinge on "n" so you cannot tell.