Evaluate the following :
1. -5/18 - 7/24 + 5/12.
2. -5/36 + 3/8 - -2/9.

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Solution

$1 . - \frac{5}{18} - \frac{7}{24} + \frac{5}{12} = \frac{- 20 - 21 + 30}{72} = \frac{- 41 + 30}{72} = \frac{- 11}{72} 2 . - \frac{5}{36} + \frac{3}{8} - \frac{- 2}{9} = - \frac{5}{36} + \frac{3}{8} + \frac{2}{9} = \frac{- 10 + 27 + 16}{72} = \frac{- 10 + 43}{72} = \frac{33}{72} = \frac{11}{24}$

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Q. Evaluate

\frac{{(36)}^{\frac{- 7}{2}} - {(36)}^{\frac{- 9}{2}}}{{(36)}^{\frac{- 5}{2}}} .

Verify each of the following :

(i) $(\frac{5}{7} \times \frac{12}{13}) \times \frac{7}{18} = \frac{5}{7} \times (\frac{12}{13} \times \frac{7}{18})$
(ii) $\frac{- 13}{24} \times (\frac{- 12}{5} \times \frac{35}{36}) = (\frac{- 13}{24} \times \frac{- 12}{5}) \times \frac{35}{36}$
(iii) $(\frac{- 9}{5} \times \frac{- 10}{3}) \times \frac{21}{- 4} = \frac{- 9}{5} \times (\frac{- 10}{3} \times \frac{21}{- 4})$

Evaluate each of the following: $(i) \frac{2}{3} - \frac{3}{5} (i i) \frac{- 4}{7} - \frac{2}{- 3} (i i i) \frac{4}{7} - \frac{- 5}{- 7} (i v) - 2 - \frac{5}{9} (v) \frac{- 3}{- 8} - \frac{- 2}{7} (v i) \frac{- 4}{13} - \frac{- 5}{26} (v i i) \frac{- 5}{14} - \frac{- 2}{7} (v i i i) \frac{13}{15} - \frac{12}{25} (i x) \frac{- 6}{13} - \frac{- 7}{13} (x) \frac{7}{24} - \frac{19}{36} (x i) \frac{5}{63} - \frac{- 8}{21}$

Q. Evaluate:

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

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

(i i i) \frac{4}{7} - \frac{- 8}{9} - \frac{- 13}{7} + \frac{17}{9}

Q. Evaluate.
(i) 9 × (− 3) × (− 6)
(ii) (− 5) × (− 10) × (− 7) × 2
(iii) (− 18) × (− 43) × 0
(iv) (− 9) × (− 8) × (− 1) × 1
(v) − 12 × (− 15) × 6 × 4
(vi) − 7 × (− 4) × (− 6) × (− 2)

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Evaluate the following : 1. -5/18 - 7/24 + 5/12. 2. -5/36 + 3/8 - -2/9.

1. -518-724+512=-20-21+3072=-41+3072=-11722. -536+38--29=-536+38+29=-10+27+1672=-10+4372=3372=1124

Evaluate the following :
1. -5/18 - 7/24 + 5/12.
2. -5/36 + 3/8 - -2/9.

$1 . - \frac{5}{18} - \frac{7}{24} + \frac{5}{12} = \frac{- 20 - 21 + 30}{72} = \frac{- 41 + 30}{72} = \frac{- 11}{72} 2 . - \frac{5}{36} + \frac{3}{8} - \frac{- 2}{9} = - \frac{5}{36} + \frac{3}{8} + \frac{2}{9} = \frac{- 10 + 27 + 16}{72} = \frac{- 10 + 43}{72} = \frac{33}{72} = \frac{11}{24}$