Evaluate the expression- 15-48- 2-810

According to PEMDAS rule, first operate multiplication, followed by addition and subtraction. 15 48× 2+810 =15 44× 2× 2+810 (cancelling 4 and 2 from numerator ...

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Standard VI

Mathematics

Successor and Predecessor

Evaluate the ...

Question

Evaluate the expression: $\frac{1}{5} - \frac{4}{8} \times 2 + \frac{8}{10}$

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Solution

According to PEMDAS rule, first operate multiplication, followed by addition and subtraction.

$\frac{1}{5} - \frac{4}{8} \times 2 + \frac{8}{10}$
$= \frac{1}{5} - \frac{4}{4 \times 2} \times 2 + \frac{8}{10}$
(cancelling $4$ and $2$ from numerator and denominator)

$= \frac{1}{5} - 1 + \frac{8}{10}$
$= \frac{1}{5} - 1 + \frac{2 \times 4}{2 \times 5}$
(cancelling $2$ from numerator and denominator)
$= \frac{1}{5} - 1 + \frac{4}{5}$
$= \frac{1 + 4}{5} - 1$
$= \frac{5}{5} - 1$
$= 1 - 1$
$= 0$

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Evaluate the expression: 15−48×2+810

According to PEMDAS rule, first operate multiplication, followed by addition and subtraction. 15−48×2+810 =15−44×2×2+810 (cancelling 4 and 2 from numerator and denominator) =15−1+810 =15−1+2×42×5 (cancelling 2 from numerator and denominator) =15−1+45 =1+45−1 =55−1 =1−1 =0

Evaluate the expression: $\frac{1}{5} - \frac{4}{8} \times 2 + \frac{8}{10}$