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    Simplify: 10×4−2×(42÷4)÷2÷(12)+910 × 4 - 2 × (4² ÷ 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 910×4−2×(42÷4)÷2÷(21​)+9​​
    Question

    Simplify: 10×42×(42÷4)÷2÷(12)+910 × 4 - 2 × (4² ÷ 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 9​​

    A.

    40

    B.

    41

    C.

    31

    D.

    35

    Correct option is B

    Given: 
    10×42×(42÷4)÷2÷(12)+910 × 4 - 2 × (4² ÷ 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 9
    Concept Used: 
    BODMAS rule;
    Operation preference wiseSymbolBrackets[],,()Orders, of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline \textbf {Brackets} &[],{}, () \\ \hline \textbf {Orders, of} & ² (power), √ (root) , of \\ \hline \textbf {Division} & ÷ \\ \hline \textbf {Multiplication} & × \\ \hline \textbf {Addition} & + \\ \hline \textbf {Subtraction} & - \\ \hline \end{array}    
    Solution: 
    10×42×(42÷4)÷2÷(12)+9 =10×42×(4)÷2÷(12)+9 =10×42×(4)×12×(21)+9 =10×48+9 =40+1 =4110 × 4 - 2 × (4² ÷ 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 9 \\ \ \\= 10 × 4 - 2 × ( 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 9 \\ \ \\ = 10 × 4 - 2 × ( 4 ) \times\frac{1} 2 \times \left(\frac{2}{1}\right) + 9 \\ \ \\ = 10 × 4 - 8 + 9 \\ \ \\ = 40 +1 \\ \ \\ =\bf 41​​​​

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