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Магия чисел PowerPoint PPT Presentation


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Магия чисел. Числа не управляют миром, но показывают, как управляется мир. Иоганн Гете. Веселая разминка. На столе стояло 3 стакана с вишней. Оксана съела один стакан с вишней. Сколько стаканов осталось?. 3 стакана. Веселая разминка.

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Магия чисел

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3


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. . , . . ?


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, , 20 . 10 . ?

9 , , .


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!!!

:

) 1012

) 1102

) 10012

) 1002

.

: 0, 1.

) 1012 = 510 ; ) 1102 = 610 ; ) 10012 = 910 ; ) 1002 = 410


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!!!

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  • ?

: .

: 111112 = 3110.


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11 . , 110 .

?

.

:

, : 112=120 + 121=310;

1102 = 020 + 121 + 122 = 2 + 4 = 610


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, . , . , ? ?


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: 9 , 512 .


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"?"

?

: 1001

9

100

?

: 1100100

?

: 101101

45

?

: 10000

16

?

: 1010

10


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=11001002

=1001012

0 1


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0 1

2

0, 1

:

:

168 : 2 = 84 0

84 : 2 = 42 0

42 : 2 = 21 0

21 : 2 = 10 1

10 : 2 = 5 0

5 : 2 = 2 1

2 : 2 = 1 0

241 : 2 = 120 1

120 : 2 = 60 0

60 : 2 = 30 0

30 : 2 = 15 0

15 : 2 = 7 1

7 : 2 = 3 1

3 : 2 = 1 1

16810 =

101010002

24110 = 111100012

16810 = 101010002

:

24110 =

111100012


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(110; 1000)

(10; 1110)

(11000; 1110)

(10100; 1000)

(1010; 1110)

(1010; 11110)

(10010; 10010)


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. , 1 9. , , 15. .


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. , - , . . , . .

.,

(1514)


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!


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.

10-11 ..

()

2,5 ..

= 3 4 5

-

-

-


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;602

;603

;; 60n

- 60

2 ..

:

-

-

= 33

= 60 + 20 + 2 = 82

1-

2-


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1

2

3

4

5

6

7

8

9

10

-

6367.

( )

-

100 000 -

- : 10 000

1000 000 -

. . .

= 10 000

1050 -


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( )

: 2 15 42 42 15 37 08 5 20 20 20! 7 14 100 0 2 0 0 13 37 08 5 20 20 20!

... 17 30 48 140 10 01 126 138 140 3 501


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1.3


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