Question

Numarul rational cu 1/3 mai mic decat -3/4 + 5/6 este.....
Comparand numerele a=-5intregi si 1/4 + (-11/5+1/10) si b=(-21/4-2 intregi si 1/5) + 0.1 se obtine ca....
Daca X= -(1/3) la puterea 3 , atunci X = ........, adica -X=.......
Daca X = (-0,2) la puterea 3 atunci X la puterea -1 =......., adica X la puterea -1.......

Answer 1

( - 3 / 4 + 5 / 6 ) - 1 / 3 = - 1 / 4

= ( - 9 / 12 + 10 / 12 ) - 4 / 12 =

= 1 / 12 - 4 / 12 = - 3 / 12 = - 1 / 4

a = 5 intregi si 1 / 4 + ( - 11 / 5 + 1 / 10 )

a = ( 5 x 4 + 1 ) / 4 + ( - 22 / 10 + 1 / 10 )

a = 21 / 4 - 21 / 10

a = 105 / 20 - 42 / 20

a = 63 / 20 = 3 intregi si 3 / 20

b = ( - 21 / 4 - 2 intregi si 1 / 5 ) + 0,1

b = ( - 21 / 4 - 11 / 5 ) + 1 / 10

b = ( - 105 / 20 - 44 / 20 ) + 1 / 10

b = ( - 149 / 20 ) + 2 / 20

b = - 129 / 20

a > b ; 63 / 20 > ( - 129 / 20 )

x = - ( 1 / 3)³ = - ( 1 / 27 ⇒ - x = 1 / 27

x = ( - 0,2)³ = ( - 2 / 10 )³ = ( - 1 / 5)³ = - 1 / 125 = - 0,008

x⁻¹ = 1 / x = 1 / ( - 1 / 125) = - 125