Question

Find the missing value. \[2.25 \div 9 + 1\dfrac{1}{8} - \left( {6.5 \times 0.2} \right) = ? \times \dfrac{1}{4}.\]

Answer 1

Hint: In this question we will use concept of BODMAS i.e.. according to BODMAS rule, if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by ‘of’ (that means powers and roots, etc.), then division, multiplication, addition and subtraction from left to right. Solving the problem in the wrong order will result in a wrong answer.

Complete step-by-step answer:
Let the missing value is ‘x’
\[\therefore 2.25 \div 9 + 1\dfrac{1}{8} - \left( {6.5 \times 0.2} \right) = x \times \dfrac{1}{4}\]
According to BODMAS rule
\[\]
First remove braces
\[0.25 + \dfrac{9}{8} - 1.3 = x \times \dfrac{1}{4}\]
Simplify fraction
\[\dfrac{{2 + 9}}{8} - 1.3 = x \times \dfrac{1}{4}\]
Add numerator
\[\dfrac{{11}}{8} - 1.3 = x \times \dfrac{1}{4}\]
Again solve fraction first
\[\dfrac{{11 - 10.4}}{8} = x \times \dfrac{1}{4}\]
Simplify fraction by subtracting
\[\dfrac{{0.6}}{8} \times 4 = x\]
Multiplying fraction with $4$
\[x = \dfrac{{0.6}}{2}\]
\[x = 0.3\].

Hence, the missing value is ‘B’ i.e. \[0.3\].

Note: The “of” in the BODMAS full form is also called “Order”, which refers to the numbers which involve powers, square roots, etc. Check the examples below to have a better understanding of using the BODMAS rule.