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If \(1.125 \times 10^k = 0.001125\), the value of k is:

  • A.-2
  • B.-3
  • C.-4
  • D.-5

Answer: B

To get from 1.125 to 0.001125, we need to move the decimal point 3 places to the left.

Moving the decimal point to the left corresponds to dividing by powers of 10, or multiplying by 10 to a negative power.

Moving 3 places to the left is equivalent to multiplying by \(10^{-3}\).

Therefore, k = -3.

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