**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*

5n is larger as 5n is the same as 5 x n which is bigger than 5+n

ReplyDelete5n is larger because 5n is 5 x n while the other one is 5 + n so if n = 3, 5n = 5 x 3 = 15 and 5 + n = 5 + 3 = 8. so 5n is larger

ReplyDelete(a) 5n is larger.

ReplyDelete(b) 5n is 5 x n while the latter is 5 + n . So if we give n a value, let's say 7, 5n would be 5x7=35 which 5+n would be 5+7=12. Based on this example, 5n is larger.

5n is larger because 5+n is adding n with 5 however 5n is 5n which is bigger.. For example n=5 and work out the equation..

ReplyDelete5+5= 10

5x5 = 25 so comparing 10 and 25 , 25 is bigger

a)5N

ReplyDeleteb)Assuming N is 7, 5+N is 12, and 5N is 35. Therefore, 5N is bigger.

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ReplyDelete(a) 5n is larger.

ReplyDelete(b) Lets say that n is 5. So 5n is now 5x5 and 5+n is now 5+5. The results of the former (25) is larger than the latter (10).

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ReplyDeleteThis comment has been removed by the author.

ReplyDelete5n is larger as long as n's value is not 1.

ReplyDeleteIf n is 1,

5 + n = 5 + 1 = 6

5n = 5 x 1 = 5

So, if n is 1, 5 + n is larger.

If n is above 1, lets say 2,

5 + n = 5 + 2 = 7

5n = 5 x 2 = 10

So, if n is above 1, 5n is larger.

It depends,if n=1 5+n would be bigger than 5n.

ReplyDeleteBut if n>1, 5n would be bigger than 5+n.

a) It depends on the value of n.

ReplyDeleteb) If n is 0<n 5+n will be lesser than 5n. Let's say n=3. 5+3=8 while 5x3=15.

However, if n is less than zero or zero, 5n will be lesser than 5+n. Lets say n=0. 5+0=5 while 5x0=0.

5 is the coefficient and n is the constant.

ReplyDeletea) 5n is larger

b) If n is 3,

5 + n= 5+3=8

5n= 5 x 3 = 15

(a)5N

ReplyDeleteb)N is 7, 5+N is 12, and 5N is 35. 5N will be bigger.

a) 5n is larger.

ReplyDeleteb) 5n is 5 x n, which is bigger than 5+n. Substituting n with a number for example 5. 5 x 5= 25, and 5+5 is 10. So 5n is larger.

a) 5n is larger.

ReplyDeleteb) 5 and n are place together, so this means 5xn, (5 multiplied by n) whereas 5+n means... well, 5+n. So from here, you can actually see that 5+n means 5 is added to n, but 5xn means that there are 5 ns. For example, n is 6. 5x6 (5n) gives 30, but 5+6 (5+n) gives 11. So, 5n is larger.

5n is bigger

ReplyDeleteas 5 is placed next to n, it means that it is 5 x n

For example: n=2

5+2=7

5x2=10

(a) 5n (if the value of 'n' is the equal for both equations)

ReplyDelete(b) Let's assume that 'n' has an equivalent value for both equations. Also, let's assume that n = 5. Knowing this we can calculate that 5 X n = 25 (since 'n' is 5) and 5 + n = 10 (since 'n' is 5). Hence, '5n' is larger than '5+n'.

(a) 5n is bigger.

ReplyDelete(b) (Assuming that 'n' = 10)So 5+n=5+10=15

But since we all know 5n is 5 x n, 5n is equivalent to 5 x 10 = 50.

So 5n is bigger then 5+n.

If n=1 or below 5+n is bigger

ReplyDeleteif n=above 1, 5n is bigger

(a) 5N

ReplyDelete(b) 5N = 5xN = N+N+N+N+N

5+N = 5 N

If N = 2,

5N = 5x2 = 10

5+N = 5+2 = 7

Therefore, 5N > 5+N