Evaluate the following expression-5 - 7 - 2 - 3 - 6

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Standard IV

Mathematics

Multiplication

Evaluate the ...

Question

Evaluate the following expression.
$5 \times 7 - (2 \times 3) + 6$

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Solution

$5 \times 7 - (2 \times 3 - ---- -) + 6 \Rightarrow$ Simplify the terms in the innermost parentheses first, as per the order of operations, MDAS.
$= 5 \times 7 - ---- - - 6 + 6 \Rightarrow$ Perform multiplication or division, whichever appears first from left to right.
$= 35 - 6 - ----- - + 6 \Rightarrow$ Perform addition or subtraction, whichever appears first from left to right.
$= 29 + 6 - ----- -$
$= 35$

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Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

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Evaluate the following expression. 5×7−(2×3)+6

Evaluate the following expression.
$5 \times 7 - (2 \times 3) + 6$