### Chap 4 Algebra... Which is larger in magnitude?

Which is larger in magnitude?

5 + n or 5n

1. 5n is is larger in magnitude.

Let n be 2

5+n=5+2
=7

5n=5Xn
=5X2
=10

So 5n is larger in magnitude.

2. 5n is larger in magnitude.

For example, Let n be 5.
5+n = 5+5
= 7

5n = 5x5
=25

This proves that 5n is larger in magnitude

3. Answer:5n is larger in magnitude compared to 5+n

Reasoning:

Example: Lets say n is 7

1)5+n= 5+7= 12

2)5n= 5x7= 35

So through this, it is proven that 5n is larger in magnitude compared to 5+n

4. 5n is of larger magnitude

5n is equivalent to 5 x n which has a bigger value than 5 + n

Example:
n = 10
5 + 10 = 15
5 x 10 = 50

So, 5 x n has a larger magnitude than 5 + n

5. 5n is of a larger magnitude as compared to 5 + n.

For example:
If n is 3,
5 + 3 would be equals to 8.
Whereas 5n = 5 x n
So, 5 x 3 = 15

15 is bigger than 8.
Therefore 5n is larger in magnitude.

JJ(:

6. 5n is larger in multitude as it is 5x n which is 5 groups of n while 5 + n which means it is 5 plus n.

7. 5n is larger in magnitude.

For example:
If n is 2
1) 5+2=7
2) 5x2=10

Therefore, 5n is larger in magnitude than 5+n.

8. 5n had a larger magnitude as compared to 5+n.
For example:
If n is 5,
5+5=10
5x5=25
Hence, 25 is bigger than 10.
5n has a bigger magnitude than 5+n

9. Which is larger in magnitude?

5 + n or 5n

5n is larger in magnitude. 5 + n is = 5 + n while 5n = 5 x n.

If n = 10.
5 + n = 5 + 10
= 15
5n = 5 x n = 5 x 10
50

so, 5n is larger in magnitude.

10. 5n is the larger magnitude.

5+n is 5 plus n, while 5n is 5 multiplied by n. When you multiply two numbers, the result will be greater than adding the same two numbers.

11. 5n.
5n= 5 x n
5+n= 5+n

So, 5n is multiplication but 5+n is addition thus 5n is larger in magnitude.

12. To:
Ziying
Cheng Ngee
Calvin
Joshua (MasterChief)
Jing Jie
Jonathan
Sher Li
Zhiqi
Shawn
Shamus
Grace

Thank you for the prompt response!
Hm... Think there's some assumption... ah! Answer not so straightforward...
Hm... Chapter 2 comes in handy to answer this question :P

Still looking for a more comprehensive answer...

13. 5n is the larger magnitude.

Let n be 5.

So, 5+n = 5+5
= 10
5xn = 5x5
= 25

14. 5n is the larger magnitude.
Take n as 3
5n=5x3
= 15
5+n=5+3
=8

15. 5n is of a larger magnitude. 5n is equivalent to 5 x n, whereas 5+n is equivalent to 5 + n.

For example, take n as 10.
5n= 5 x 10=50
5+n= 5 + 10=15

Hence 5n has a larger magnitude.

16. Thanks to all the inputs so far...

While the examples given by Guang Jun, Soh Fan and Jianhui seems logical, does anyone out there think their choice of "n" is biase?

Would someone brave enough to 'prove' that 5n is less than 5+n?

Cheers!

17. When "n" is less than 1.25, 5n is less than 5+n. When "n" is greater than 1.25, 5n is greater than 5+n. When "n"=1.25, neither of the statements are correct.

18. Shamus:

Good analysis...
In fact, it really depends on the value assigned to N.
We can write as:
5n < 5+n if n<1.25
5n = 5+n if n=1.25
5n > 5+n if n>1.25

Hm... maybe you would like to share how you arrive at 1.25?

Cheers!

19. Either can be of larger magnitude.

5+n would be larger in magnitude if n was 1.
5+n=6
5xn=5

5n would be larger in magnitude if n was 2 or above.
5+n=7
5xn=10

20. Either one can be larger in magnitude.

EXAMPLE 1: Take n as 1. Therefore,

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

So 5 + n is larger in magnitude.

EXAMPLE 2: Take n as 2. Therefore,

5 x n = 5n = 10
5 + n = 5 + 2 = 7

So 5n is larger in magnitude.

21. We assume that the value of 5n is equal to the value of 5+n. So the statement should be 5n=5+n. Then, we bring the "+n" over to the left side of the equation. Hence we should get "5n-n=5". Since 5n-n=4n, we know that 4n=5. And "n" would be 5/4, which is 1.25

22. Those were good examples to show the either one side could have a larger magnitude.

Now let's 'zoom in' to the number that makes the difference.

Let's take a look at the latest post by Shamus. He came up with the 'magic number' 1.25.
So, what happens if n is greater than, less than or equal to 1.25?

:D

BTW, so far, no one tries using fraction or very small decimals yet...