Express the following rational numbers as decimals- i 2-3 ii - 4-9 iii -2-15 iv 22-13 v 437-999 vi 33-26

(i) 2/3 = 0.66..... = 0.6̅ (ii) 4/9 = (0.444....) = 0.4̅ (iii) 2/15 = (0.133...........) = 0.1̅3̅ (iv) 22/13 = 1 9/13 = 1.6923076 ...

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Decimal Expansion of Rational and Irrational Numbers

Express the f...

Question

Express the following rational numbers as decimals:

(i) $\frac{2}{3}$ (ii) - $\frac{4}{9}$ (iii) $\frac{- 2}{15}$ (iv) $\frac{22}{13}$ (v) $\frac{437}{999}$ (vi) $\frac{33}{26}$

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\frac{22}{7}

\frac{- 15}{- 28}

\frac{6}{- 9}

\frac{- 28}{- 11}

\frac{19}{- 7}

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

Subtract the first rational number from the second in each of the following:

(i) $\frac{3}{8}, \frac{5}{8}$

(ii) $\frac{- 7}{9}, \frac{4}{9}$

(iii) $\frac{- 2}{11}, \frac{- 9}{11}$

(iv) $\frac{11}{13}, \frac{- 4}{13}$

(v) $\frac{1}{4}, \frac{- 3}{8}$

(vi) $\frac{- 2}{3}, \frac{5}{6}$

(vii) $\frac{- 6}{7}, \frac{- 13}{14}$

(viii) $\frac{- 8}{33}, \frac{- 7}{22}$

\frac{1}{2}, \frac{2}{2}, \frac{3}{2}, \frac{4}{2}, \frac{5}{2}, \frac{- 1}{2}, \frac{- 2}{2}, \frac{- 3}{3}

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