Find the sum of-a -3-11- -1-4 and 5-8b -5-9- -7-12 and 11-18-2 MARKS-

Each part: 1 Mark (a) 3/11 + 1/4 + 5/8 3 × 8/88 1 × 22/88 + 5 × 11/88 24 22 + 55/88 46 + 55/88 = 9/88 (b) 5/9 + 7/12 + 11/18 5 × 4/36 7 × 3 ...

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Byju's Answer

Standard VI

Mathematics

Closure Property

Find the sum ...

Question

Find the sum of:

(a) $\frac{- 3}{11}, \frac{- 1}{4}$ and $\frac{5}{8}$

(b) $\frac{- 5}{9}, \frac{- 7}{12}$ and $\frac{11}{18}$

[2 MARKS]

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Solution

Each part: 1 Mark

(a) $\frac{- 3}{11} + \frac{- 1}{4} + \frac{5}{8}$

$\frac{- 3 \times 8}{88} - \frac{1 \times 22}{88} + \frac{5 \times 11}{88}$

$\frac{- 24 - 22 + 55}{88}$

$\frac{- 46 + 55}{88} = \frac{9}{88}$

(b) $\frac{- 5}{9} + \frac{- 7}{12} + \frac{11}{18}$

$\frac{- 5 \times 4}{36} - \frac{7 \times 3}{36} + \frac{11 \times 2}{36}$

$\frac{- 20 - 21 + 22}{36} = \frac{- 19}{36}$

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Similar questions

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

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

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Q. Simplify:
(i)

\frac{11}{12} \div (\frac{5}{9} \times \frac{18}{25})

(ii)

(2 \frac{1}{2} \times \frac{8}{10}) \div (1 \frac{1}{2} + \frac{5}{8})

(iii)

\frac{15}{16}

(\frac{5}{6} - \frac{1}{2}) \div \frac{10}{11}

(iv)

\frac{9}{8} \div \frac{3}{5}

(\frac{3}{4} + \frac{3}{5})

(v)

\frac{2}{5} \div {\frac{1}{5} o f [\frac{3}{4} - \frac{1}{2}] - 1}

(vi)

(1 \frac{3}{4} \times 3 \frac{1}{7}) - (4 \frac{3}{8} \div 5 \frac{3}{5})

Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

Fill in the blanks:

$(i) - 4 \times \frac{7}{9} = \frac{7}{9} \times$ ___

$(i i) \frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times$ ___

$(i i i) \frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times$ ____ $+ (\times) \frac{- 5}{12}$

$(i v) \frac{- 4}{5} \times \frac{5}{7} \times$ ___ $= (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

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Find the sum of: (a) −311,−14 and 58 (b) −59,−712 and 1118 [2 MARKS]

Each part: 1 Mark (a) −311+−14+58 −3×888−1×2288+5×1188 −24−22+5588 −46+5588=988 (b) −59+−712+1118 −5×436−7×336+11×236 −20−21+2236=−1936

Find the sum of:

(a) $\frac{- 3}{11}, \frac{- 1}{4}$ and $\frac{5}{8}$

(b) $\frac{- 5}{9}, \frac{- 7}{12}$ and $\frac{11}{18}$

[2 MARKS]