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    Simplify: (0.3 × 0.3 + 0.01) × (0.1 × 0.1 + 0.09)
    Question

    Simplify: (0.3 × 0.3 + 0.01) × (0.1 × 0.1 + 0.09)

    A.

    1/100

    B.

    1/10

    C.

    1

    D.

    9

    Correct option is A

    Given:

    (0.3×0.3+0.01)×(0.1×0.1+0.09)(0.3 \times 0.3 + 0.01) \times (0.1 \times 0.1 + 0.09)​​

    Solution:

    (0.3×0.3+0.01)×(0.1×0.1+0.09)=(0.09+0.01)×(0.01+0.09)=0.1×0.1=0.01(0.3 \times 0.3 + 0.01) \times (0.1 \times 0.1 + 0.09) \\=(0.09 + 0.01)\times (0.01 + 0.09)\\=0.1\times0.1\\=0.01  

    =1\100

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