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3. Scrieti sub forma cea mai simpla opusul numărului rational: a=|-2,1(3) |-|-1,(6)|
va rog e urgent !!!​


Răspuns :

[tex]a = | - 2.1(3)| - | - 1.(6)|[/tex]

[tex]a = 2.1(3) - 1.(6)[/tex]

[tex]a = 2 \frac{13 - 1}{90} - 1 \frac{6}{9} [/tex]

[tex]a = 2\frac{12}{90} - 1 \frac{6}{9} [/tex]

[tex]a = \frac{2 \times 90 + 12}{90} - \frac{1 \times 9 + 6}{9} [/tex]

[tex]a = \frac{192}{90} - \frac{15}{9} [/tex]

[tex]a = \frac{192}{90} - \frac{150}{90} [/tex]

[tex]a = \frac{42}{90} = \frac{7}{15} [/tex]

[tex]Opusul //lui //a //este - \frac{7}{15} [/tex]

[tex]\it a=|-2,1(3)|-|1,(6)|=2,1(3)-1,(6)=2\dfrac{13-1}{90}-1\dfrac{6}{9}=\\ \\ \\ =\dfrac{192}{90}-\dfrac{^{10)}15}{\ 9}=\dfrac{192-150}{90}=\dfrac{\ 42^{(6}}{90}=\dfrac{7}{15}[/tex]

[tex]\it\ \ Opusul \ \ lui\ \ a\ \ este\ \ -a=-\dfrac{7}{15}[/tex]