Question

Find the value of the expression: $(\frac{7}{10}-\frac{63}{100})\times \frac{1}{10}+\frac{1}{10}$

• A. $0.107$
• B. $1.07$
• C. $10.7$
• D. $107.0$

Answer 1

The correct option is A $0.107$

According to PEMDAS rule, the expression inside perenthesis is evaluated, followed by multiplication and then addition.

$(\frac{7}{10}-\frac{63}{100})$
$=(\frac{7\times 10}{10\times 10}-\frac{63}{100})$
(making the denominator same, by multiplying $10$ to the numerator and denominator)
$=(\frac{70}{100}-\frac{63}{100})$
$=\left(\frac{70-63}{100}\right)$
$=\frac{7}{100}$

$\therefore (\frac{7}{10}-\frac{63}{100})\times \frac{1}{10}+\frac{1}{10}$
$=\frac{7}{100}\times \frac{1}{10}+\frac{1}{10}$
$=\frac{7}{1000}+\frac{1}{10}$
(making the denominator same, by multiplying $100$ to the numerator and denominator)
$=\frac{7}{1000}+\frac{1\times 100}{10\times 100}$
$=\frac{7}{1000}+\frac{100}{1000}$
$=\frac{7+100}{1000}$
$=\frac{107}{1000}$
(shifting the decimal point in the numerator to leftwards according to the number of zeros in the denominator)
$=0.107$