Evaluate- 30-26-15-8-6-3- - 815-49-34-12-1

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÷49×34 12+1..................[re ...

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Standard VII

Mathematics

BODMAS

Evaluate: 30-...

Question

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

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Solution

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

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

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

Q. Simplify:

(i)

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

(ii)

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

(iii)

- 1 + \frac{7}{- 9} + \frac{11}{12}

(iv)

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

(v)

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

(vi)

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

Q. Find the variance of the following distribution.

Class interval	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$	$40 - 44$	$45 - 49$
Frequency	$15$	$25$	$28$	$12$	$12$	$8$

Evaluate each of the following:

$(a) (- 30) \div 10$

$(b) 50 \div (- 5)$

$(c) (- 36) \div (- 9)$

$(d) (- 49) \div 49$

$(e) 13 \div [- 2 + 1]$

$(f) 0 \div (- 12)$

$(g) (- 31) \div [(- 30) + (- 1)]$

$(h) [(- 36) \div 12] \div 3$

$(i) [- 6 + 5] \div [- 2 + 1]$

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

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