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ZBIRKA POTPUNO RIJEŠENIH ZADATAKA

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Rješenja i kompletni postupak<br />

M-8-Kvadriranje i korjenovanje<br />

3.<br />

( − )<br />

2 2<br />

( ) ( ) ( ) ( )<br />

13) − 0.2 =−1⋅ 0.2 =−1⋅ 0.2⋅ 0.2 =−1⋅ 0.04 =−0.04<br />

1 možemo i ne moramo pisati :<br />

još jednom isti zadatak<br />

2 2<br />

( ) ( ) ( ) ( )<br />

: − 0.2 = − 0.2 = − 0.2⋅ 0.2 = − 0.04 = −0.04<br />

II način<br />

decimalni broj pretvorimo u decimalni razlomak pa kvadriramo.. .<br />

ili<br />

2 2<br />

2 ⎛ 2 ⎞ ⎛ 2 ⎞ ⎛ 4 ⎞<br />

− ( 0.2) =−1⋅ ⎜ ⎟ =−1⋅ ⎜ 1 1<br />

2 ⎟ =− ⋅ ⎜ ⎟ =− ⋅ ( 4:100) =−1⋅ ( 0.04)<br />

=−0.04<br />

⎝10 ⎠ ⎝10<br />

⎠ ⎝100<br />

⎠<br />

2 2<br />

2 2<br />

( ) ( ) ( ) ( )<br />

II način<br />

2 ⎛ 2 ⎞ ⎛ 2 ⎞ ⎛ 4 ⎞<br />

− ( 0.2) = − ⎜ ⎟ = − ⎜ 2 ⎟ = − ⎜ ⎟ = − ( 4:100) = − ( 0.04)<br />

= −0.04<br />

⎝10 ⎠ ⎝10<br />

⎠ ⎝100<br />

⎠<br />

14) − 1.2 = − 1.2 = − 1.2⋅ 1.2 = − 1.44 = −1.44<br />

2<br />

2<br />

2 ⎛12 ⎞ ⎛12 ⎞ ⎛144<br />

⎞<br />

− ( 1.2)<br />

= − ⎜ ⎟ = −⎜ 2 ⎟ =− ⎜ ⎟ =− ( 144:100) =− ( 1.44)<br />

=−1.44<br />

⎝10<br />

⎠ ⎝10<br />

⎠ ⎝100<br />

⎠<br />

2<br />

( ) ( ) ( )<br />

15) − 0.06 = − 0.06⋅ 0.06 = − 0.0036 = −0.0036<br />

II način<br />

2 2<br />

2 ⎛ 6 ⎞ ⎛ 6 ⎞ ⎛ 36 ⎞<br />

− ( 0.06) = − ⎜ ⎟ = − ⎜ 2 ⎟ = − ⎜ ⎟ = − ( 36:10000)<br />

= −0.0036<br />

⎝100 ⎠ ⎝100<br />

⎠ ⎝10000<br />

⎠<br />

2<br />

( ) ( ) ( )<br />

16) − 0.13 =− 0.13⋅ 0.13 =− 0.0169 =−0.0169<br />

II način<br />

2 2<br />

2 ⎛ 13 ⎞ ⎛ 13 ⎞ ⎛ 169 ⎞<br />

− ( 0.13) = − ⎜ ⎟ = − ⎜ 2 ⎟ = − ⎜ ⎟ = − ( 169:10000)<br />

= −0.0169<br />

⎝100 ⎠ ⎝100<br />

⎠ ⎝10000<br />

⎠<br />

8

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