**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.

ReplyDelete(b) let n be 2. 5+2=7 while 5X2=10 10 is bigger than 7 so 5n is bigger

It depends on what n is. If n is 2 or higher*, 5n is bigger like: Let n be 6. 5+6=11 but 5X6=30. However, if n is 1 or lower*, 5+n is bigger like: Let n be 0. 5+0=5 but 5X0=0.

ReplyDelete*higher/lower includes fractions too

5n will always be larger in magnitude, unless n is equal to/less than 1.

ReplyDeleteWhen 5n is larger than 5+n: (let n be 2)

5Xn=5X2=10

5+n=5+2=7

When 5n is smaller than 5+n: (let n be 1)

5Xn=5X1=5

5+n=5+1=6

5n

ReplyDeleteit is because n will be greater than n+5 when it is multiplied by 5.

for example: n= 2

so 5n = 5x2 = 10

5+n = 5+2= 7

Clearly 10 is bigger than 7!