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Rina Hong:
Multiples


Multiples of a number can be made by multiplying the number by any whole number. The first four multiples of 2 are 2, 4, 6 and 8. You get them by doing 2 x 1, 2 x 2, 2 x 3 and 2 x 4

The numbers you find in the 2-times table are all multiples of 2.

Reminder: when you do multiplication you can write the numbers in any order and get the same answer. 6 x 2 is the same as 2 x 6.

Here is how to make multiples of 10. Just multiply 10 by a whole number each time.
      1 x 10 = 10,
      2 x 10 = 20,
      3 x 10 = 30,
      4 x 10 = 40,
      5 x 10 = 50,
      6 x 10 = 60,
      and so on ...

The first six multiples of 10 are 10, 20, 30, 40, 50 and 60.

Example 1    Is 12 a multiple of 3?
If you multiply 3 by 4 you get 12, so 12 is a multiple of 3.

Example 2
20 is a multiple of 5 because 4 x 5 = 20.
20 is a multiple of 4 too, because 5 x 4 = 20.

Example 3    Is 15 a multiple of 3?
3 x 5 = 15. So 15 is a multiple of 3, (and also of 5).

Example 4    Is 21 a multiple of 6?
21 is not a multiple of 6 because you can't make 21 by multiplying 6 by any whole number.
6 x 3 = 18 and 6 x 4 = 24 but there is no whole number between 3 and 4 that could give us an answer of 21.

Example 5    Is 30 a multiple of 15?
30 = 2 x 15, so 30 is a multiple of 15.
You can also see that 2 x 3 x 5 = 30 so 30 is a multiple of 2, 3 and 5.
And 30 = 3 x 10 so 30 is a multiple of 10.
Also 30 = 5 x 6 so 30 is a multiple of 6 too.

Rina Hong:
Factors
In arithmetic, a factor is a whole number that divides exactly into another whole number.

For example, what are the factors of 12? Try making 12 in different ways.
Your answer should look like this:
   6 x 2 = 12
   12 x 1 = 12
   4 x 3 = 12

Remember that you can write your numbers in any order you like for a multiplication so:
   2 x 6 is the same as 6 x 2
   1 x 12 is the same as 12 x 1
   3 x 4 is the same as 4 x 3.

The full list of factors of 12 is 1, 2, 3, 4, 6, and 12.

Some numbers have many factors, so it is a good idea to work in an organised way or you may miss some. Don't forget to include 1 and the number itself in your list.

Here is one way to find the factors of 48. Start with 1 and pair off your numbers.

1 x 48, 2 x 24, 3 x 16, 4 x 12 and 6 x 8 all make 48.
Write the list in order:  1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Here is another way: Write your first pair of factors with a reasonable space between them, then move on to the next pair until you have them all. (You don't need to put in the lines.)

 This way, when you get to the 6,8 pair, you can stop because 7 is not a factor and you already have 8 in your list.

Rina Hong:
Sequences
A sequence is a set of numbers arranged in order according to a rule. Each number in a sequence is called a term.

Multiplication tables give good examples of sequences. For example the 2-times table gives you the sequence
       2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ... and so on
Each term comes from the 2-times table. The rule for this sequence is 'add 2' each time.

The first three terms of the four times table are 4, 8, 12. You can see that each term in the sequence increases by four. If you carried on with this sequence you would eventually reach 92 (try it!).

What is the next term after 92? Using the rule of adding four each time gives you the next term, 96 (because 92 + 4 = 96).

Example    What is the next term in the sequence 35, 32, 29, 26, ...?
This time each term is three less than the one before it. Using this rule (take three away each time) gives the fifth term as 23, because 26 - 3 = 23.

Example    A sequence begins 64, 32, 16. What are the next two terms?
The numbers are decreasing, but not by equal amounts. The rule for this sequence is 'Divide by two'. The next term will be 8, because 16 ÷ 2 = 8. The term after that will be 4, because 8 ÷ 2 = 4.

Example     What are the next two terms in the sequence 1, 2, 4, 8, ?
The rule is 'multiply by 2 each time'. The next two terms are 8 x 2 = 16 and then 16 x 2 = 32.

Example
Look at this sequence: 3, 5, 8, 12, ...
It doesn't follow any of the rules above. But if you look at the differences between each pair of terms, you can see that they are 2, 3 and 4. The next difference will be 5 and so the fifth term is 17, because 12 + 5 = 17.

No Pain No Gain:
saya tambahin ya..

sudut:

< 90 derajat = acute angle
> 90 derajat = obtuse angle
=90 derajat = perpendicular

segitiga:
-oblique triangles : segitiga yang tidak memiliki sebuah sudut 90 derajat, termasuk :
sama sisi = equilateral triangle
sama kaki = isosceles triangle

tidak sama sudut/ tidak beraturan = scalene triangle

simple fractions:
1/2 (a half atau one half)
2/3 ( two-thirds)

compound fractions:
5 7/8 (five, seven-eighths)
50 71/82 (fifty, seventy-one over eighty-two)

decimal fractions:
0.02 ( 'o' point 'o' two)

2^2 (two square)
2^3 ( two cube)

3^1/2 (square root of three / three square root)
3^1/3 ( cube ---------------/ ------cube--------)
3^1/4 (fourth root of three)

gunawan2005:
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