## 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

1. This comment has been removed by the author.

2. 5n. 5n means 5 x n. 5+n means 5+n.
So if n=7 5n would be 35 (5x7) and 5+n would be 12 (5+7)

3. 5n. it means that 5 x n, it is multiplied. 5+n means 2 objects being added up.

4. 5n .5n have the meaning of 5 x n while the other is 5+ n . multiply make the number bigger is most of the times

5. 5n is the larger one. this is because 5n is equivalent to 5 times of n, whereas the other one is only 5+n.

6. Depends.5n equals to 5 times of n. 5+n means 5+n
if n is 1, 5n will be 5 while 5+n is 6
and if n is 2, 5n will be 10 while 5+n is 7

7. Depends. If n=1,n+1 would be more than 5n as
5+1=6 &
5*1=5
so: n +1 is more.
If n=any other number. 5n would be more.
(Assume n=2)
5+2=7 &
5*2=10
so: n2 would be more.

8. Shawn Liew Hong Wei4/20/2011 08:16:00 PM

If n is < 1.25, 5n < (5+n)
If n is > 1.25, 5n > (5+n)
If n is = 1.25, 5n = (5+n)

Let's say that n would be 1.2498, a number lower than 1.25.
To prove my statement that any number below 1.25 would be 5n < (5+n), I would work it out :

5 + n -> 5 + 1.2498 = 6.2498
5 × n -> 5 x 1.2498 = 6.249

6.2498 > 6.249
(5+n) > (5n)

And Now with a number larger than 1.25, n = 1.25001
5 + n -> 5 + 1.25001 = 6.25001
5 x n -> 5 x 1.25001 = 6.25005

6.25001 < 6.25005
(5+n) < (5n)

If n is now = 1.25,

5 + n -> 5 + 1.25 = 6.25
5 x n -> 5 x 1.25 = 6.25

6.25 = 6.225
(5+n) = (5n)

9. 5n
5n is 5xn
while 5+n is equals to 5 + n

10. The answer will vary to what n is.
It is because if n = 1
5n will be 5 x 1 = 5
whereas 5+n = 5 + 1 = 6
So for this case 5+n would be larger.

In this case, if n = 2
then 5n will be 5 x 2 = 10
whereas 5+n = 5 + 2 = 7

So the answer would depend on n and thus the answer would vary

11. The answer depends on the algebra 'n' if n is 1, 5+n would be bigger as it is 6 while 5n is smaller as it is only 5. But, if 'n' is 2 , 5n would be bigger as it is 5x2=10. 5+n would be smaller as it s only 5+2=7.

12. The answer depends on what the algebra n is. Because if it is 1, 5n x 1 would be 5 which makes it equal to 5, but if n is 5, then 5 x 5 would be 25 making 5n bigger than 5.

13. The answer depends on the value of 'n'.lets say 'n' is 1,5+n would be bigger.if 'n' is 2,5n would be bigger.

14. It will depends on what is the value on n because we cannot assume what n is. So if n=1 then 5n=5x1=5, and 5+n=5+1=6. This case 5+n is bigger than 5n. If n=2 then 5n=5x2=10 and 5+n=5+2=7, now 5n is bigger. So it all depends on what the variable is.

15. The difference will rely on what the symbol n means. If n is 1, 5+n will be bigger then 5n
In another case, if n is 5
5n would be bigger the 5+n

16. It depends on the value of n for example, if n=1 then, 5+n is equal to 6 and 5n is equal to 5 thus 5+n is bigger but if n is 2 then, 5+n is equal to 7 and 5n is equal to 10 meaning that 5n is bigger. Therefore both can be larger in magnitude. It just depends on the value of n.

17. a)5n
b)5n=nx5/n+n+n+n+n
5+n=5+n

18. Depends on the value of n. If n is 1, 5n would be 5 but 5+n would be 6. But if n is 2, 5n is 10 while 5+n is 7