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ДЕЛИМОСТЬ PowerPoint PPT Presentation


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ДЕЛИМОСТЬ. ОЛИМПИАДНЫЕ ЗАДАЧИ. ПРОЕКТ ВЫПОЛНИЛИ : БУКРЕЕВ КОНСТАНТИН, ЛАЗУТКИН ДАНИЛА 6 Б класс. Вернулся Дядя Фёдор со школы домой и начал делать домашнее задание по математике.

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ДЕЛИМОСТЬ

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7037489

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,

6


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. , : . , .


7037489

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7037489

1

3.

:

abcdef = 100000 + 10000b + 1000 + 100d +10 + f =

= (99999 + 9999b+ 999 + 99d + 9) +(+b++d++f ).

9, .

a+b+c+d+e+f 9, 9, .. abcdef 9.


7037489

2

4.

: abcde=(10000a+1000b+100c)++(10d+e).

4, , .

de 4, 4.


7037489

3

1121314151 - 1

10?

:

, .. 0.


7037489

4

43 , , 45.

:

= 43b - , 9 5,

= 430 = 435 ( 5),

9 =2 =6.

:2430, 6435.


7037489

!!! , !!!


7037489

, .

, ,

:

b= 10+b, 10a+b=2ab,

, b -, b = 2k.

10a+2k= 2abb=6,k=3,a=3

5a+k = abb=8, k =4, a =3/4 k = a(b-5) -

a = k/(b-5)b = 10 - !

: 36.


7037489

. , , . .


7037489

6

. , 7, 11 13.

:

bb = abc1000 + abc = =abc(1000 +1)=1001abc = 71113abc.


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7

3024?

:

5 10 ( );

11121314 .. 10101010=10000, 3024;

1234 - ,

6789.

: 6, 7, 8, 9.


7037489

8

, , 66?

:

66=2311, 11 . : .


7037489

! ! , ! !


7037489

11

, , , . , , , . , 1000 ?

:

, 3, , 3 1000.


7037489

9

, 12, 31, 436.

:

X , Y - , 31+12=436.

.. 12 436 4, X 4, .. =4,8,12,

X 12, .. 436 12.

=8, Y=(436-314):12 , =4, Y=(436-314):12=26.

: 26


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12

70 , 5/9 , 7/17 - . ?

:

, , 17, 17, 34, 51 68;

, , 53, 36, 19 2,

9, .. 36.

: 36 , 34.


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