Evaluate-30-26-15-8-6-3- - 815-49-34-12-125-1-52-25-22-23-52-1-

The correct option is A 25.1 30 [26 {15+(8 6 3)}] × 815÷49×34 12+1 = 30 [26 {15+(8 3)}] ×815÷49×34 12+1...........[removing vinculum] = 30 [26 {15+5}] ×815÷49× ...

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Standard VI

Mathematics

Algebraic Expression

Evaluate: 30-...

Question

Evaluate: $30 - [26 - {15 + (8 - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 6 - 3)}] \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1$

52.1

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25.1

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52.25

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22.23

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Solution

The correct option is B
25.1

$30 - [26 - {15 + (8 - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 6 - 3)}] \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1$

$= 30 - [26 - {15 + (8 - 3)}] \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1$ ...........[removing vinculum]

$= 30 - [26 - {15 + 5}] \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1$ ..................[removing small bracket]

$= 30 - [26 - 20] \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1$ ..................[removing curly bracket]

$= 30 - 6 \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1$ ..................[removing square bracket]

$= 30 - 6 \times \frac{6}{5} \times \frac{3}{4} - \frac{1}{2} + 1$ .................. [division]

$= 30 - \frac{54}{10} - \frac{1}{2} + 1$ .................[multiplication]

$= 31 - \frac{54}{10} - \frac{1}{2}$ ...........[addition]

$= \frac{310 - 54 - 5}{10}$ ...................[subtraction]

$= 25.1$

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Similar questions

Q. Evaluate the following:

(i) −8 − 24 + 31 − 26 − 28 + 7 + 19 − 18 − 8 + 33
(ii) −26 −20 + 33 − (−33) + 21 + 24 − (−25) −26 − 14 − 34

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(i)

\frac{- 8}{15} + \frac{2}{- 3}

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\frac{- 7}{10} + \frac{13}{- 15} + \frac{27}{20}

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\frac{- 11}{39} + \frac{5}{26} + 2

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2 + \frac{- 1}{2} + \frac{- 3}{4}

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\frac{- 9}{11} + \frac{2}{3} + \frac{- 3}{4}

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(ii)

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(iii)

\frac{7}{24} - \frac{19}{36}

(iv)

\frac{14}{15} - \frac{13}{20}

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(vii)

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(viii)

\frac{- 5}{- 8} - \frac{- 3}{4}

Evaluate: $30 - [26 - {15 + (8 - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 6 - 3)}] \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1$

Q. Evaluate:

30 - [26 - {15 + (8 - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 6 - 3)}] \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1

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Evaluate: 30−[26−{15+(8−¯¯¯¯¯¯¯¯¯¯¯¯6−3)}]×815÷49×34−12+1

Evaluate: $30 - [26 - {15 + (8 - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 6 - 3)}] \times \frac{8}{15} \div \frac{4}{9} \times \frac{3}{4} - \frac{1}{2} + 1$