## Thursday, 21 January 2010

### Prime Factorisation Homework

Textbook p9 #2:
The Prime factorisation of a number is 2^4 X 3^5 X 7^2 X 11.
Write down 3 factors of the number that are greater than 100.
(Hint: 16 X 11 = 176, which is a factor.)

My Answer: 2673, 539 and 23814
2^4 X 3^5 X 7^2 X 11= 2X2X2X2X3X3X3X3X3X7X7X11
2X2X2X2=16
3X3X3X3X3=243
7X7=49

Since the hint given is taking 16 times 11 to get the factor, then I guessed other factors could be calculated using 243 and 49 times 11 respectively.

So we have, 243 X 11=2673 and 49 X 11=539

Then I used the calculator to calculate the answer for 2X2X2X2X3X3X3X3X3X7X7X11 which is 2095632 and then I used the calculator to double check that both 2673 and 539 are factors for 2095632, which means my guess was correct.

Now, I have to find one more factor for this question. I used 2X2X2 (Please note that I used 2X2X2X2 to times 11 the previous time but now I am using 2X2X2 to times 11)times 11 and the answer is 88. So from here I know 88 is a factor of 2095632, but since it is not more than 100, I used 2095632 to divide it and got the result 23814.

After doing the homework, I realise that using the prime factorization, we are able to get the original number given and to find the factors and the highest common factors. :)

Textbook p9 #26:
The Prime factorisation of two numbers are 2 X 3^2 X 7^3 X 13 and3 X 7^2 X 13^3 X 17 .
Write down 3 common factors of the numbers.

My Answer: 3, 7 and 13

Prime number 3, 7 and 13 are present in the two prime factorisations and so these three numbers are the 3 common factors. :)

Lai Ziying

## Wednesday, 20 January 2010

### Maths Homework 19.1.2010

```Textbook: Brainworks (p8)
Q24(b) A mathematician proposed that "Every even number greater than 2 can be expressed as a sum of two prime numbers." Do you agree? Why?```
Yes, I do agree because I was able to express the even numbers (which I anyhow pick for myself to try out) as a sum of two prime numbers. Then I went online and found the information below.

Why Does Every Even Number Greater Than 2 Can Be Expressed As A Sum Of 2 Prime Numbers?
Even numbers have several ways to be the sum of two prime numbers. For example, the number 36 can be shown as '5+31', '7+29', or '17+19'. By looking at these examples, it appears that the higher the even number, the more pair of prime numbers there are that add up to it.

There is an assumption that says that every even number can be expressed as the sum of two prime numbers at least in one way. This assumption is called as Goldbach's conjecture, after Christian Goldbach, a Prussian mathematician who propounded it. it remains to be one of the most ancient problems that is yet not completely solved in the field of mathematics. The conjecture basically states that every even integer that is greater than the number 2 can be expressed as the sum of two primes.

Cited from: http://www.blurtit.com/q710414.html

Lai Ziying

## Tuesday, 12 January 2010

### 12 January: Numbers as a Language

After doing research on the Internet, I have learnt the history of the development of numeration systems. I choose the Roman numeration system to present 2010 is because the Roman numeration system is more pragmatic with respect to mathematics than the other numeration systems. Being pragmatic is how I feel about my learning is going to be in SST in 2010.

Lai Ziying

## Monday, 11 January 2010

### Communication Homework

1 Why is communication important?

We need so socialise with the others through communication and it also enables us to get connected with one another. Also, through communication, we will be able to understand the people around us as well as the world. Without communication, we are able to achieve nothing but become a loner.

2 What is/are your favourite form/s of communication? Why?

My favourite way of communicating with others is talking. I feel that I am able to express and receive messages more freely and clearly through talking. When we communicate by talking over the phone, we are able to ensure that the person gets the message on time as sometimes people check their online social networks and handphone messages only at a certain time and this may delay the person from getting the message right away.

3 How do you decide which form of communication to use in a situation?

I will look at the form of the message and the audience that I want to pass the message to and choose the form of communication that will ensure that the people get the message in time.

4 What difficulties do you face in communicating with others?

I don’t think I face any difficulties in communicating with others as long as I know what I want to say and how to go about expressing it in a way that people understand.

Lai Ziying

## Saturday, 9 January 2010

CD里播着：“很爱很爱你，所以愿意让你飞到更幸福的地方去。”

（赖同学我本人不认同这句话的后两个部分，我觉得那是情绪低谷时人们才会说的话）

（的确，依照我自己的生活经历而言，我曾经无数次地在博客中写道自己成长了，但随着这样的字眼出现的次数增加，我发现，我们只是在某一瞬间，在一个阶段后发觉自己长大了，但其实，我们也会觉醒，自己还在继续成长。路还很长，成长的脚步不间断。）

（有时候摸索，有时候迷惘，有时候绝望中带着坚强。有句话说，最坚强的人不是没有眼泪的人，而是含着泪奔跑的人。曾经有那么一个时刻，不，是许多那样的时刻，我害怕自己落队，害怕自己跟不上生活的脚步，而对于未来的“隐隐约约”，我有着强烈的担忧。但那些都是过程罢了，有担忧才有思考，有思考才有实践。不要忧愁，因为生活本身就让我们对它有信心，对我们自己有信心。时间到了，我们会依照自己的需要活出最好的自己。失望，但不绝望！）

It's just the beginning, we still have a long way to go... Enjoy! It may be tough, but beautiful :)

*(Life is tough but beautiful is my primary school teacher's motto)

101

## Wednesday, 6 January 2010

### My Personal Reflection On the Amazing Race

I think our school value "Expanding Our Learning Networks" means that our learning should not be just limited from the books or the school compound but anywhere. Such as we went around the Clementi Neighbourhood today and through out the whole activity, we observed, led, thought and so on. Through the whole process, we built up our bond within the class and learnt new things outside the school compound.This school value teaches me that we are able  to learn new things from anywhere.

This value is important because it will teach us to be more observant of the things around us and we will be more creative and innovative in thinking. This value alslo suggests that we should not limit our learning network.

Lai Ziying

## Tuesday, 5 January 2010

### My Reflection On the Team Building Challenge

I think "Forging Excellence" means as a school, we should play our indivisual part and when all our parts are being played well, we are forging excellence. So the excellence is not for each indivusual, but to the whole school as a team. Since this "excellence" needs to be "forged", each one of us matters and is important. We should aim for our goal and live up to excellence and then when our dreams come true, that's when we are an excellent and united team as a school.

I think my interest and enthusiasm in learning will help me to success. Plus, I know what I want and I am willing to work towards my goal! No matter how tough it is going to be. Because I know I will pull through it all!

I think I should try to understand my friends around me and find an effective way to communicate with them. I have to make them feel that I respect them so that they may respect me in the same way and pay attention to my opinions.

I can contribute to the success of our class by sharing my thoughts with my classmates and help them if I am able to. Besides sharing point of views and helping one another, I will do whatever I can to make our class an united team so that we will be stronger!

Lai Ziying