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Monday, January 25, 2010

Prime Factorisation (Continues...)

Textbook p9 #25:


Question:

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.)


1. 3^5 = 243

2. 7^2 X 11 = 154

3. 3^5 X 7^2 = 3402


Textbook p9 #26:


Question:

The Prime factorisation of two numbers are 2 X 3^2 X 7^3 X 13 and 3 X 7^2 X 13^3 X 17 .

Write down 3 common factors of the numbers.


1st Number: 2x9x343x13 = 80262

2nd Number: 3x49x2197x17 = 5490303


The 3 common factors of the numbers are: 3,2 and 13.

Friday, January 22, 2010

Personal Blog Textbook: Brainworks (p8) Q24(b) A mathematician proposed that "Every even number greater than 2 can be expressed as a sum of two prime

The first 500 prime numbers:

Question:
A mathematician proposed that "Every even number greater than 2 can be expressed as a sum of two prime numbers." Do you agree? Why?

I agree with the mathematician as:

4 is equal to 2+2
6 is equal to 3+3
8 is equal to 5+3
10 is equal to 5+5
12 is equal to 7+5
14 is equal to 7+7
16 is equal to 13+3
18 is equal to 13+5
20 is equal to 17+3
22 is equal to 17+5
24 is equal to 19+5
26 is equal to 19+7
28 is equal to 23+5
30 is equal to 23+7
32 is equal to 29+3
34 is equal to 29+5
36 is equal to 31+5
38 is equal to 31+7
40 is equal to 37+3
42 is equal to 37+5
44 is equal to 41+3
46 is equal to 41+5
48 is equal to 43+5
50 is equal to 43+7
52 is equal to 47+5
54 is equal to 47+7
56 is equal to 53+3
58 is equal to 53+5
60 is equal to 53+7
62 is equal to 59+3
64 is equal to 59+5
66 is equal to 61+5
68 is equal to 61+7
70 is equal to 67+3
72 is equal to 67+5
74 is equal to 71+3
76 is equal to 71+5
78 is equal to 73+5
80 is equal to 73+7
82 is equal to 79+3
84 is equal to 79+5
86 is equal to 83+3
88 is equal to 83+5
90 is equal to 83+7
92 is equal to 89+3
94 is equal to 89+5
96 is equal to 89+7
98 is equal to 19+79
100 is equal to 97+3
102 is equal to 97+5

These are the first 50 even numbers after 2 and they all are sums of 2 prime numbers. One reason that this statement made by the mathematician is possible is that when 2 primes
(odd numbers except the first prime number(2)) are added together, they form an even number that is always greater than 2.

Wednesday, January 13, 2010

12 January: Numbers as a Language

The number system that I have chosen for this post is called the, " Binary Numeral System".
The binary numeral system, or base-2 number system represents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system has a radix of 2. The binary system is used internally by all modern computers. The chart at the right shows how a computer stores some numbers using only two symbols, 0 and 1.Counting in binary is similar to counting in any other number system. Beginning with a single digit, counting proceeds through each symbol, in increasing order. Decimal counting uses the symbols 0 through 9, while binary only uses the symbols 0 and 1.
So, to write 2010 in the Binary Numeral System, it is
10, 00, 01, 00
as 2 is = 10 in the Binary Numeral System,
1 is = 01
and 0 is = 00
10=2 , 00=0, 01= 1 , 00=0
DecimalBinary
00
11
210
311
4100
5101
6110
7111
81000
91001
101010
111011
121100
131101
141110
151111
1610000

Sunday, January 10, 2010

Reflection: My Camp Xperience@Sarimbun Scout Camp




Wow.That was nice, especially after some years of not going to such a wonderful camp ...... I am sure everyone enjoyed the camp......

I felt very sad that one of our classmate, and also my friend, Yu Zhe, had a asthma attack and was unable to attend the camp and some other students also when home on the first day of the camp.

Three main points that I have learnt from all the activities that I have participated at the camp are:
1. Teamwork
2. Punctuality
3. Sense of belonging to the class

These three pointers can actually help me be more focused and efficient when working together as a team. Teamwork lets me work in harmony with the team. On the other hand, punctuality and time management is very important when doing projects or tasks so that we could finish the assigned tasks or activities on time. Sense of belonging to the class is also very important. Without it, I would feel like I do not belong to the team or class and will not try to share my opinions or participate in the activities and tasks. With these points that I have learnt from all the activities, I would be more efficient and focused when doing school homeworks or when working together as a class or team.
If I were given another chance to try all the activities, I think I will choose to try the zip line as I had not tried the zip line before due to fear. I was starting to overcome my fear together with most of my classmates who was also afraid to try the zip line at the camp when suddenly, our trainer said that we need to move on to the other activities due to time constrain and not the zip line.
One thing that I would like to change about myself ( related to the camp ) is empowerment. At times, I was a little bit uncomfortable when sharing my comments with the class as I was afraid that most of them would disagree with my comment and did not really know what to said. However, it turns out that most of them was okay with my comment. Another thing was that when our class was trying out the wet activities such as the "Milo" pool, I did not asked the trainer if we were supposed to change to our second pair of shoe at the starting. Of course, it turned out that I used the "clean" shoe to go into the mud and well...... Of course, it was a challenge to make the "mud" shoe become the "clean" shoe again.

P.S. ( Haha, the "clean" shoe that became a "mud" shoe was my school shoe! )

Last but not least, the "Thanking" section. The camp is an adventure and of course, my classmates helped each other at times we encountered problems......

I would like to thank firstly, our trainer, for being a caring and resourceful trainer, which we could get the answers to all of our questions from her. She also cared for the safety and condition of students of our class at all times.
Secondly, I would like to thank our form teachers for also caring for the safety of all students in our class.
Lastly, the students.
I would like to thank:
Lincoln, for being a great buddy which cared about my safety and condition at all times and helped me pass the "Night hike" as I had poor vision at night and could not see the obstacles in the forest.
Jasper, for being a great buddy which followed me at all times to ensure that I am safe and also helped me in all difficulties that I faced, especially helping me by telling me the logs and holes that are on the ground at night as I had poor vision at night.
Zheng Jie, for being a great thinker which came out with numerous class cheers and "Rio" cheers and helped us win second prize in the camp.
Darryl, for also being a great buddy which cared about my condition and safety and sharing with me few tips about asthma.
Priyanka, for informing me the things that Mr Lam said which I did not heard.
Benz, for being a great buddy and walked in the night with me as well.
Abilash, for chatting with me when I was bored in the camp.
Shamemi, for supporting Zheng Jie in leading of the class cheer. She sure had a loud voice.
Shakti, for bringing humor to the class by the "joke" (Pie Seh).
Yi Lin, for being very well behaved and also participated in the class cheer.
Jia Sheng, for also chatting with me when I was bored and being a great buddy.
Hao En, for also chatting with me when I was looking for someone to chat with.
Su En, for being a great leader in the "Harry potter" game.
Lionel, for massaging my back when it was sore after the "Night hike"
Here are just some of the students that I wish to thank. Actually, I really want to thank all the students, teachers and trainers for making this camp a success.
I would really be looking forward for the next camp, trip or adventure.


Wednesday, January 6, 2010

Reflection: My Third Day@SST!


I understand from the school value "Expanding Our Learning Networks" that we should not only depend on one source when learning. We to try to explore as many sources of learning as possible and learn from the different sources.We should not only depend on one source when learning as the source may not always be available or may not always contains the information that we want or we are looking for. So, the more learning networks that we have, the easier and faster it is for us to get the information that we are looking for.In a case of emergency, the source that we are used to use may not be available, so in a case of emergency, we must have prepared other networks to use.

This value is very important as it reminds us to search for as many learning networks as possible to learn as much as possible. It will help me in my learning experience in SST as at SST, we will be expanding our learning networks and when we do projects, the student with the most learning networks that is related to the project should be the one with the most detailed, meaningful and the best project in SST.

Tuesday, January 5, 2010

Reflection: My Second Day@SST!


The school value "Forging Excellence" means to steadily move forward and achieve success gradually. The strength that I think I possesses which can help me achieve excellence is being brave and will try out new things rather than hide away from it. The attributes and attitudes that I think I should cultivate to excel in the things I do are trying my best in whatever I do, do not be discouraged by failure and never give up.To contribute to help my class succeed, I think I should always participate in whatever discussions my class is having and contribute all ideas that I have to the discussion.

Monday, January 4, 2010

Reflection: My First Day@SST!!!!!!



Bridge Building Activity-Personal Reflection

About working in a team on the bridge building activity, I feel happy being able to work together to complete a task. However, I think that my interaction with the members in my team was not very good and could be improved a lot. I could have told my group members what my plan and idea was before actually doing it out. In the future, I would try harder to communicate better with my group members so that everybody knows what to do and time is spent wisely. I did not felt and discomfort, fear or apprehension when working with this team.