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    The product of 0.4 × 0.04 × 0.004 is:
    Question

    The product of 0.4 × 0.04 × 0.004 is:

    A.

    0.00054

    B.

    0.04

    C.

    0.000064

    D.

    0.0044

    Correct option is C

    Solution:

    0.4 × 0.04 × 0.004 = (4×101)×(4×102)×(4×103)(4 × 10^{-1}) × (4 × 10^{-2}) × (4 × 10^{-3})​​
    Multiplying the coefficients: 4 × 4 × 4 = 64
    Adding the exponents of 10: -1 + (-2) + (-3) = -6
    So, the product is64×106 64 × 10^{-6}​, or 0.000064.
    Therefore, 0.4 × 0.04 × 0.004 = 0.000064.

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