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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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