**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*

a) 5n is bigger

ReplyDeleteb) 5+n is only 5 and the value of n added together whereas 5n is five times the value of n

5+n can also be be bigger if n is less than 1

ReplyDelete5+n is technically smaller than 5n as 5n is 5xn but however if n is 1 5+n is bigger then 5n.

ReplyDeleteThis comment has been removed by the author.

ReplyDeletea) It depends on the situation and what x represents.

ReplyDeleteb) If x is 1, for example, then 5+n would be equal to 5+1=6 and 5n would be equal to 5. If x is more than one, then 5n would be larger.

Coefficient = 5 [in 5n]

ReplyDeleteConstant = 5 [in 5 + n]

(a) 5n (Scenario 1) and 5 + n (Scenario 2) are both larger in magnitude , depending on the situation

(b) Scenario 1 : 5 + n is (5 + n) , 5n is (5 x n) . The one multiplied is larger. Scenario 2 : However, if the value of n is less than 1 or is 1, 5 + n would be larger, as 5n would be less.

5n would be bigger in most cases because it is a multiple of the n and not just an addition.

ReplyDeleteCoefficient is 5n

ReplyDeleteConstant is 5+n

a)Its depends on what n is

b)if 4n is bigger than 5,5n is the larger in magnitude.But if 4n is smaller than 5,5+n is larger in magnitude.

This comment has been removed by the author.

ReplyDeleteThis comment has been removed by the author.

ReplyDelete5n should have more scenario of when it is bigger than 5+n as it multiplies instead of add

ReplyDeletea) 5n

ReplyDeleteb) it is because that 5n is 5 x n but 5 + n is only 5 + n

multiplication in this case will get a bigger answer

(a) It depends upon the situation.

ReplyDelete(b) Scenario 1 : Let n be 1, which statement is larger? 5n or 5 + n?

5 +1 = 6. On the other hand, 5 x 1 = 5. Hence, 5 + n would be bigger.

Scenario 2 : Let n be 2, which statement is larger? 5n or 5 + n?

5 + 2 = 7. On the other hand, 5 x 2 = 10. Hence 5n would be bigger.

The 5 in (5n) is a coefficient.

ReplyDeleteThe 5 in (5+n) is a constant.

a) 5n is larger in magnitude. But in some cases 5+n can be bigger.

b)5n is larger as if you break it up it is 5 x n which is greater than 5+n. However if n is equal to n or lesser, 5+n will be larger.

a) 5n

ReplyDeleteb) For example n=10

So, n+5 will be 15

and 5n (without plus) would mean 5x10=50

15 and 50 has a GREAT difference.

(a) 5n is bigger in magnitude.

ReplyDelete(b) 5n is a multiplication expression while 5+n is an addition expression.

For example, if n=5.

5n=25

5+5=10

So 5n is bigger.

a) 5n

ReplyDeleteb) n+5 is not more than 5n as 5+n =5+n whereas 5n=5 x n

It depends. If n is larger than 1, 5n is bigger. If n is smaller than 1, 5 + n is bigger.

ReplyDeleteThis comment has been removed by the author.

ReplyDeletea) 5n is bigger

ReplyDeleteb) For example, if n=5, and 5x5=25 is bigger than 5+5=10.

But this does not apply to some cases.

5n is bigger.

ReplyDelete5n = 5 x n

5+n < 5n

Lets take n=2

so 5+2=7

5x2=10

so 5+n < 5n

(a)5n is larger

ReplyDelete(b)n+5 is not bigger than 5n as 5n is 5 times of n whereas n+5 is just 1 n +5

a) 5n is bigger

ReplyDeleteb) n+5 is not bigger than 5n

5n is bigger. It is when the coefficient, n is larger than 1.25.

ReplyDelete5+n can be bigger when n is smaller than 1.25

They are the same when n is 1.25.

It depends on the number.

ReplyDeleteIf n = 1, 5n is 5 while 5+n will be 6.