Aritmetika- Slajdovi- Metodika Matematika- FASPER

5 10 20

100

1000

5 , . . .

1 < 3 3 > 1

, , !!!

3 + 2

: . 3 2 ,....

_____ + __________ + ______________< _________ + _______

(=) , !!!! .

4 + 2 = 6

: . 3 2 , 5 3 + 2 = 5

: , , 5 + 1 = 6 6 + 1 = 7

3 + 2 = 5 ( , , )

3+2 3 2. 3+2=5 5 3 2!

, ( ) 5 + 1 > 5 5 + 1 = 6

5+1 1 5, 6 1 5

6 1 < 6 6 1 = 56 1 1 6, 5 1 6

() , .

: ? () ? ? () ?

() , !!!

(-) (, , ). 2 , ( ) 5 2 = 3

:

7 - ___ = 66 - __ = 5____ - ____ = 34 - ___ = ___

, . . - .

3 2 1 0

3 3-1=2 3-2=1 3-3=0 5-5=0, 4 , , , 4-4=0

3 + 2 = 52 + 3 = 53 + 2 = 2 + 3

. :

2+5 2 5 5+2 5 22 + 5 = 75 + 2 = 7 ?

( )

( 3 + 2 ) + 4 = 5 + 4 = 9

3 + (2 + 4) = 3 + 6 = 9

( 3 + 4 ) + 2 = 7 + 2 = 9

( 3 + 2 ) + 4 = 3 + ( 2 + 4 ) = ( 3 + 4 ) + 2

:

+=3 + 2 = 5 3, 4 2

3 + 4 = 7 + 2 = 9!!!!!

Z+ , , . +8 = 8Z-

A KADA SE KORISTE CELI BROJEVI?

0 C 5C 36C 100C 7C 0C 10 C

+13C +14C -5C

6 , 5 , 5 -2

3***-18C18 2**-12C12 1* -6C 6 5C 5

2 4 7 10

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60C,

20C b) 30C

c) 70C d) 60C

-25103-2- 405771-1

: -4, 3, 0, +5, - (-1)

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, a a? 6h i 18h?

? . NA PRVOM TERMOMETRU JE TEMPERATURA 3C, A NA DRUGOM 5C.ZNAMO DA KAD JE TEMPERATURA 5C DA JE HLADNIJE NEGO KAD JE 3CPREMA TOME 5 < 3 4C, 1C. 1C 4 C 1 > 4

JA SAM NAJMANJI OD OVIH BROJEVAJA SAM VEI OD -12, A MANJI OD OSTALIH BROJEVA OVDEJA SAM VEI OD OSTALIH BROJEVA OVDE, A MANJI OD BROJA 15JA SAM NAJVEI MEU OVIM BROJEVIMA ,

!!! . |-3|=|+3|

. 2

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{ -9, 13, 0, -5, -22, 6} o : 0b) 0c) -6

T1T2T1T2T1T2

ili =, a :

- 7 0 0 +2 -11 +4 -15 - 5 - |-1| 2 :

0 < < 7 - 4 < 1

-10 < -1 abcde!!!

.

, .

, , .

.

:

, , ,

5 2 = 2 + 2 + 2 + 2 + 2 2 5 = 5 + 5

: . :3 4, 3 3 4 = 4 + 4 + 4 4 3 = 3 + 3 + 3 + 3

, : 3 3 = 93 2 = 6

3 1 = 3

3 0 = 0 0 = 0 = 0

1 = 1 + 1 + 1 .... + 1 =

0 = 0 + 0 + 0 .... + 0 = 0

n (+n) n (n )

6 , 5 (6+5), . ?

: n , + n .

, . : 3 2 = 6, 4 (3 2 ) = 4 6 = 24 4 3 = 12, , (4 3) 2=12 2=24 , 4 3 2 = 4 (3 2)=(4 3) 2

. : 4 + 2 = 6 . 3 (4+2) = 3 6 = 18 3 4 = 12, 3 2 = 6. 3 4 + 3 2 = 12 + 6 = 18

, 3 (4+2) = 3 6 = 3 4+3 2

,

.

, .

4 16 = 4 (10+6)= 4 10 + 4 6=40+24=64

. . ?

6 2 = 4 , 3 (6-2) = 3 4 = 12 3 6 = 12 , 3 2 = 6 , 3 6 3 2 = 18 6 = 12

: 3 (6 - 2) = 3 4 = 3 6 - 3 2 = 12

: , , ,

, . 5 18 = 5 (10 + 8) = 5 10 + 5 8 = 50 + 40 = 90 5 18 = 5 (20 2 ) = 5 20 5 2 = 100 10 = 90

, .

4 11 = 4 (10 + 1) = 40 + 4 = 444 19 = 4 (20 1) = 80 4 = 76

-

,

. 14 7, 7 + 7 = 14, 2 7 = 14

, , . 20 5, 4 5 = 20

, 2 .

:

12 12 2 , 12 : 2 ( ) 12 12 , 12 : 4 ( )

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515 , 15 : 3

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15:3, . , . , 15 : 3 = 5, 3 5 = 15 : !!!

. (14 = 3 4 + 2)

, , 14 3. 14 3 4 2

3 5 = 15 15 : 3 = 5 , .

02345678 . ? 9 1 9 , , ? 19 ? 1 10 , 9 9 .

: 567 467? .567 > 467 ? .567 > 557 ? .567 > 566

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0

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Sheet2

Sheet3

1000 Jo Jo

6 5 3 : 600 + 50 + 3 = 653:

601602603604605606607608609610611612613614615616617618619620621622623624625626627628629630631632633634635636637638639640641642643644645646647648649650651652653654655656657658659660661662663664665666667668669670671672673674675676677678679680681682683684685686687688689690691692693694695696697698699700

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! , . 10 . .1.2.3.4.5.6.7.8.9.10. .

(XII - III )

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1 = 1V = 5X = 10

:

REENJE:1. A={10, 3, 5, 7, 71}, B ={-25, -2, -4, -1 }. 2.a)1, 2, 3, 4, 5 ; b)-6, -5, -4, -3, -2; c)-2, -1, 0, 1, 2; d) -2, -1, 0, 1, 2; 3.a) 40C; b)90C; c) -10C; d)00C4.Suprotni brojevi brojevima -4, 3, 0, +5, -(-1) su redom: +4, -3, 0, -5, + (-1)5. a)najhladnije je bilo u 6h, a najtoplije je bilo u 14h. b)od 0-10h i od 20h 24h je bila negativna, a od 10h 20h je bila pozitivna. c) razlika je 14 0CREENJE:1.a)T1, b)T2, c) T12. a) -18,18; b) 0; c)ne postoji; d)-2, -1, 0, 1, 23. a) {13, 16}, b) {-9, -5, -22}, c) {-9, -22}4.a) < ; b) < ; c)

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Aritmetika- Slajdovi- Metodika Matematika- FASPER