Which is bigger? (Eunice and Nehal)

Let’s say n = -3
5n = 5 x n
    = 5 x -3
    = -15
n^2 = n x n
      = -3 x -3
      = 9
In this case, 5n < n^2

Let’s say n = 2
5n = 5 x n
    = 5 x 2
    = 10
n^2 = n x n
      = 2 x 2
      = 4
In this case, 5n > n^2

Let’s say n = 4
5n = 5 x n
    = 5 x 4
    = 20
n^2 = n x n
     = 4 x 4
     = 16
In this case, 5n > n^2


Let’s say n = 5
5n = 5 x n
    = 5 x 5
    = 25
n^2 = n x n
      = 5 x 5
      = 25

Let’s say n = 6
5n = 5 x n
    = 5 x 6
    = 30
n^2 = nxn
      = 6 x 6
      = 36
In this case, 5n < n^2

Let’s say n = 10
5n = 5 x n
    = 5 x 10
    =50
n^2 = n x n
      = 10 x 10
      = 100
In this case, 5n < n^2

Therefore, in conclusion, n does not have a definite value. We cannot determine which is bigger because we do not know the value of n. In certain cases, 5n is bigger, in other cases, 5n is smaller, or both of them are equal. Thus, we cannot tell which is bigger.

Which is bigger? (Kimberly Tan, 08)

5n is less than, more than and equals to n^2
However, it depends on the number that n represents.
If n=more than 0, 5n will be more than n^2.
If n=a negative number, 5n will be less than n^2.
If n=0, 5n will be equals to  n^2
 

Which is bigger? (Bryan Goh, Ryan Ng, Chelsea, Xue Qin)

If n is smaller than 5, 5n > n^2

However if n is negative, 5n < n^2.

If n is equals to 5, 5n = n^2

If n is larger than 5, 5n < n^2

Which is bigger? (Lynette)

The answer will always depend on the value of n as 5n can be equal, more or less than n^2

Basically, 5n = 5*n wheres n^2 = n*n.

So, if n=3, 5n will be greater than n^2 as 5n = 5*3 which is 15. However, n^2 is 3*3 which is equal to 9. Therefore, 5n will be > n^2.

However, if n=5: 5n=n^2. This is because 5n= 5*5 which is 25. n^2=5*5 which is also 25.

Lastly, if n=10: 5n < n^2. This is because 5n will be 5*10 which is 50 whereas n^2=10*10 which is 100.

which is bigger? Taufiq

i went through google and searched "what is the value of an awesome n?" the first value i came across was ten. see ten dollar discount? in this case since n equals ten 5n equals 50 whilst n^2 equals 100. therefore in this case 5n<n^2. but that is only when n is qualified awesome. but in typical math if n>5 then 5n<n^2. but if n=5 then 5n=n^2. but if n<5 but n>0 then 5n>n^2. if n is negative then 5n<n^2

Question: Is 5n > or = n^2 [ Sean, Bryan Lee , Kai Cheng , Kenric]

It depends. 
In the situation which both equations are equal , the value of n has to be 5 or 0.
But in the situation that 5n is larger , the value of n has to be smaller than 5 but more than 0.
Finally ,on the other hand , if n^2 is larger , the value of n has to be larger than 5. 
So in conclusion, because of the fact that we do not know what is the value of n, we cannot conclude anything as it just depends. 

Which is bigger? Qayyum

5n will be bigger than n^2 unless the value of n is more than 5. If the value of n is 5 then both will be equal. If the value of n is less than 5 than 5n will be bigger than n^2.

For example, if the value of n is 6 then 5n will be 30 and n^2 will be 36.
If the value of n is 5 then both values will be 25.
If it is 4 than 5n will be 20 and n^2 will be 16.

Which is bigger ?

by Mr Johari

Given the following please post a new post as to whether they are (i) equal  (ii) one greater than the other. Provide a good proof for this (hint: refer to previous activity). Collaborate with the members of the same group as in the ICT activity.

Question:  Is 5n  > or =  n^2 ?

ICT Activity (Yu Hin, Qayyum, Khairul)

Compare each of the following pair of expressions. Are they equal? Explain.
a) 2n and 2 + n
     - They are not equal. 2n = 2 x n, not 2 + n.
b) 2n and n²
     - They are not equal. 2n = 2 x n but n² = n x n.
c) 2n + 2 and 2(n+2)
     - They are not equal. 2n + 2 = (2 x n) + 2 but 2(n+2) = 2 x (n + 2)
d) 2n² and (2n)²
     - They are not equal. 2n² = 2 x n² but (2n)² = 2n x 2n.

ICT Activity (Eunice and Nehal)

(a) 2n and 2 + n is not equal as 2n refers to n x 2, but 2 + n basically refers to 2 + n. The answer will not be the same.
(b) 2n and n^2 is not the same as 2n is n x 2 but n^2 is n being squared, meaning n x n.
(c) 2n + 2 and 2(n+2) is not the same as when we evaluate 2(n+2), we will get 2n + 4, which is definitely not the same as 2n + 2.
(d) 2n^2 and (2n)^2 is not equal as the first one can be evaluated as 2n x n, but (2n)^2 can be evaluated as 2n x 2n.

ICT Activity (Chelsea, Xue Qin& Bryan)

 

3a.
2n = 2 x n
2 + n = (2 + n)     
3b.
2n = 2 x n
n^2 = n^2
3c.
2n + 2 = (2n +2)
2(n + 2) = 2n + 4

ICT Activity (Sean, Bryan Lee, Kai Cheng, Kenric)

3a) No. 2n= 2xn but 2+n is not = 2xn.

3b) No. n^2 = nxn but 2n= nx2.

3c) No. 2(n+2)= 2n+4 and this is not equal to 2n+2.

3d) No. 2n^2 = 2(n^2) but (2n)^2 is ^2 of 2n.

ICT activity (Myat Noe, Sabrina, Taufiq)

3a) no. 2n equals to n multiplied by two while 2+n equals to n plus 2. 

b) no unless n equals zero

c) no. let's say n equals 2. then 2n+n equals 6 whilst 2(n+2) equals 8. 

d) not unless n is zero. other than that 2n^2 will never equal (2n)^2.

patterns: column c is always half of column e. even if n equals zero.  column f is half of column  g and column g is half of column h. therefore column f is one quarter of column h. this only applies of n equals zero.

ICT activity(Luke, Ryan Ng and Lynette)

3.a)No.  2n=2 x n but 2+n=2+n
   b)No. 2n=2 x n but n^2=n x n
   c)No. 2n+n=(2 x n)+2 but 2(n+2)=2n+4
   d)No. 2n^2+2 x n^2 but (2n^2)=2n x 2n

ICT Activity (Kimberly and Hong Yi)

a. Not equal. 2n is 2 x n, which is different from 2 + n.
b. It is only equal when n=0.
c. Not equal. Multiplying n by 2 before adding 2 to the answer is different from adding 2 to n before multiplying it by 2.
d. It is only equal when n=0.

Patterns in table
In G and H, G multiplied by 2 will give you H. The same can be said for A and B/F&G.