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    Simplify: 610−(0.6÷103 of 0.6+7−10÷5)−0.3\frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3106​−
    Question

    Simplify: 610(0.6÷103 of 0.6+710÷5)0.3\frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3​​

    A.

    –5

    B.

    1

    C.

    0

    D.

    0.6

    Correct option is A

    Given:

    610(0.6÷103 of 0.6+710÷5)0.3\frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3 

    Concept Used: 

    Operation preference wise

    Symbol

    Brackets

    [], {}, ()

    Orders, of

    x (power), √ (root), of

    Division

    ÷

    Multiplication

    ×

    Addition

    +

    Subtraction

    -

    Solution: 

    610(0.6÷103 of 0.6+710÷5)0.3 =610(0.6÷103 of 0.6+710÷5)0.3 =610(0.3+710÷5)0.3  =610(0.3+72)0.3 =610(5.3)0.3 =0.65.6 =5\frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3 \\ \ \\ = \frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3 \\ \ \\ = \frac{6}{10} - \left( 0.3 + 7 - 10 \div 5 \right) - 0.3 \\ \ \\\\ \ \\ = \frac{6}{10} - \left( 0.3 + 7 - 2 \right) - 0.3 \\ \ \\ = \frac{6}{10} - \left( 5.3 \right) - 0.3 \\ \ \\ = 0.6-5.6 \\ \ \\ = -5​​

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