MATEMATIKA ASYIK

1. 666 = 3 6  – 2 6  + 1 6 2. 666 = 6 3  + 6 3  + 6 3  + 6 + 6 + 6 3. 666 = 2 2  + 3 2  + 5 2  + 7 2  + 11 2  + 13 2  + 17 2 4. 666 = 1 + 2 + 3 + 4 + 567 + 89 = 123 + 456 + 78 + 9 = 9 + 87 + 6 + 543 + 21 5. 666 2  = 443556, dengan jumlah dari pangkat tiga digit-digitnya adalah 4 3  + 4 3  + 3 3  + 5 3  + 5 3  + 6 3 = 621 dan 666 3  = 295408296, and 2+9+5+4+0+8+2+9+6 = 45, and 621+45 = 666).

17 is the smallest Trotter prime, i.e., a prime of form 10 x (n2) + 7, where n = 1, 2, 3 … The Pythagoreans were horrified by the number 17. 17 -1 expressed as a decimal contains a repeating sequence of 17-1 digits.

                        1.  Merupakan bilangan terkecil yang dapat dinyatakan sebagai jumlah pangkat tiga dari digit-digitnya: 153 = 1 3   + 5 3   + 3 3 2. Sama dengan jumlah dari faktorial dari bilangan 1 – 5 : 153 =  1! + 2! + 3! + 4! + 5! 3. Jumlah digitnya adalah kuadrat sempurna : 1         + 5 + 3 = 9 =   3 2 4. Jumlah proper divisornya juga kuadrat sempurna : 1 + 3 + 9 + 17 + 51 = 81 =   9 2

A. INTEGER 1. Definition of Integer Integers are the numbers which consist of whole numbers and negative numbers ( the opposite of natural numbers) such as ..., -3, -2, -1, 0, 1, 2, 3, ..... The integers can be illustrated in the form of number line as shown in the following : The numbers in the right side of 0, i.e 1, 2, 3, ... are called positive integers · The numbers in the left side of 0, i.e 1, 2, 3, ... are called negative integers Natural number is any whole number greater than zero. So natural number consist of 1, 2, 3, ... While whole number is number that consist of 0 and natural numbers. Negative number is the opposite of natural number. 2. The Order of Integer The order of integer from 0 to the rights is to increase. It is written it as 0 The order of integer from 0 to the left is to decrease. It is written ...

The uniqueness of the number nine (Part 2) Another fascinating properties of the number nine can be seen from the product of fruit number 12,345,679 with nine original numbers of the first nine multiples as follows: 12345679 x 9 = 111 111 111 12345679 x 18 = 222 222 222 12345679 x 27 = 333 333 333 12345679 x 36 = 444 444 444 12345679 x 45 = 555 555 555 12345679 x 54 = 666 666 666 12345679 x 63 = 777 777 777 12345679 x 72 = 888 888 888 12345679 x 81 = 999 999 999 Now try your own, on the other privileges of the number 9, by making the number 123 456 789 times with nine original numbers of the first multiple of nine. Is there anything interesting from the results of these times? List the product number 987654321 with n...

The uniqueness of the number nine (Part 1) We are very familiar with operations such as count plus surgery, less, times and to share. These operations are quite helpful in observing the beauty of figure 9. We will describe in the following description. Try search results from 63 x 99. How do we solve it? One way to calculate the 63 x 99 is the multiplicative composite. However, there are other ways to calculate the product of two numbers, are as follows: Because 99 = 100-1, So 63 x 99 = 63 (100-1) = (63 x 100) - (63 x 1) = 6300-63 = 6237 To multiply 999 x 27 can be completed as follows: Because 999 = 1000-1 So 999 x 27 = (1000-1) x 27 = 2700-27 = 26 973 Furthermore, how is the result of, for example, 52 x 999? Try doing this with such techniques. If the description, examples and problems above have been understood, then we will exploit the uniqueness of the other nine digits....

Linear Equation in One Variable 1.Open sentences and closed sentences Open sentence is a sentence that can not be determined right or wrong. Example: a + 8 = 12 x - 4 = 8 15: 3 = c Closed sentence is a sentence that has been determined right or wrong. Example: 20-5 = 15 (True) 4 x 5 = 25 (False) Indonesia is the capital of Padang. (False) GCF of 16 and 32 were 16 (Right) 2. One variable linear equations (PLSV) One variable linear equations (PLSV) is a linear equation (rank one) which only contains one variable and associated with signs = ("* with the same") Example: P - 12 = 5 3x + 5 = 10 2k - 3 = k + 7 3. Resolving One variable linear equations. There are several principles that need to know before completing one variable linear equations. These principles are: If a number or a variable switch from left field sign "=" to the right of the sign "=" or vice versa then the numbers / variables such changes sign (from + to - and - to +) Example: a. x + 5 = 17 c...

Integer Integer is a combination of a negative integer, zero, and unanimously positive. Negative integers (..., -5, -4, -3, -2, -1). While the positive integers is (1, 2, 3, 4, 5, ... ... ... ....). So overall, are integers (... -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ... ... ... ..) 1. Integer summation 24 (-15) = 24-15 = 9 13 19 = 42 2. Integer Reduction 24 - (-15) = 24 15 = 39 12-21 = -9 3. Integer multiplication x = (positive x positive = positive) x - = - (positive x negative = negative - X = - (negative x positive = negative) - X - = - (negative x negative = positive) Example: 2 x 4 = 8 2 x (-4) = -8 -2 X 4 = -8 -2 X (-4) = 8 4. Multiplication and division with rounding to the nearest tens and hundreds 36 010: 6170 = 36 000: 6000 = 6 513 x 9 = 510 x 10 = 5100 5. Reappointment at Integer ap x aq = ap q ap: = ap-q aq (Ap) q = apxq Type Numbers Original set of numbers Original set of numbers is the set of numbers whose members is a positive integer. Example: N = (1,2,3,4,5,6, ... .....