Evaluate the following expression-7-8- 15-6-3

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Standard IV

Mathematics

Finding Patterns in Numbers

Evaluate the ...

Question

Evaluate the following expression.
$7 + {8 \times (15 - 6)} + 3$

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Solution

$7 + {8 \times (15 - 6 - ----- -)} + 3 \Rightarrow$ Simplify the terms in the innermost parentheses first, as per the order of operations,
MDAS.
$= 7 + {8 \times 9 - ---- -} + 3 \Rightarrow$ Simplify the terms in the innermost curly braces next, as per the order of operations, MDAS.
$= 7 + 72 + 3 \Rightarrow$ Perform addition or subtraction, whichever appears first from left to right.
$= 79 + 3$
$= 82$

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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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Evaluate the following expression. 7+{8×(15−6)}+3

Evaluate the following expression.
$7 + {8 \times (15 - 6)} + 3$