Find the value of 1 - 2 - 2 - 3 - 3 - 8 - 4 - - 9 - 16

The correct option is D 0given that 12 + [(23 ×38) ÷ 4] 916 #160; #160;= 12 + [14 ÷ 4] 916 = 12 + [14 ×14] 916 = 12 + 116 916 = 1 ...

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Standard XII

Mathematics

Applications of Dot Product

Find the valu...

Question

Find the value of $\frac{1}{2} + [(\frac{2}{3} \times \frac{3}{8}) \div 4] - \frac{9}{16}$

\frac{29}{16}

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\frac{9}{16}

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\frac{15}{16}

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\frac{9}{13}

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Solution

The correct option is D 0
given that

$\frac{1}{2} + [(\frac{2}{3} \times \frac{3}{8}) \div 4] - \frac{9}{16}$

$= \frac{1}{2} + [\frac{1}{4} \div 4] - \frac{9}{16}$

$= \frac{1}{2} + [\frac{1}{4} \times \frac{1}{4}] - \frac{9}{16}$

$= \frac{1}{2} + \frac{1}{16} - \frac{9}{16}$

$= \frac{1}{2} + \frac{1 - 9}{16}$

$= \frac{1}{2} + \frac{- 8}{16}$

$= \frac{1}{2} - \frac{1}{2}$

$= 0$

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Similar questions

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

2, 3, 4, 14; 2, 3, 4, 16; 13, 14, 15, 9, ?

Q. Simplify:

(i)(−8) × 9 + (−8) × 7
(ii) 9 × (−13) + 9 × (−7)
(iii) 20 × (−16) + 20 × 14
(iv) (−16) × (−15) + (−16) × (−5)
(v) (−11) × (−15) + (−11) × (−25)
(vi) 10 × (−12) + 5 × (−12)
(vii) (−16) × (−8) + (−4) × (−8)
(viii) (−26) × 72 + (−26) × 28

Q. Which ratio is larger in the following pairs?
(i) 3 : 4 or 9 : 16
(ii) 15 : 16 or 24 : 25
(iii) 4 : 7 or 5 : 8
(iv) 9 : 20 or 8 : 13
(v) 1 : 2 or 13 : 27

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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Find the value of 12+[(23×38)÷4]−916

The correct option is D 0given that12+[(23×38)÷4]−916=12+[14÷4]−916=12+[14×14]−916=12+116−916=12+1−916=12+−816=12−12=0

Find the value of $\frac{1}{2} + [(\frac{2}{3} \times \frac{3}{8}) \div 4] - \frac{9}{16}$