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!