Using commutativity and associativity of addition of rational numbers,

1.	Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number: (i) 25+73+−45+−13 (ii) 37+−49+−117+79 (iii) 25+83+−1115+45+−23 (iv) 47+0+−89+−137+1721
Answer» Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number: (i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$ (ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$ (iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$ (iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number: (i) 25+73+−45+−13 (ii) 37+−49+−117+79 (iii) 25+83+−1115+45+−23 (iv) 47+0+−89+−137+1721

Answer»

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$