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Which of the following numbers is written in the standard form ?

  • A.\(83.7 \times 10^{-9}\)
  • B.\(45 \times 10^{3}\)
  • C.\(8.5 \times 10^{-12}\)
  • D.\(0.6 \times 10^{15}\)

Answer: C

The number in standard form is \(8.5 \times 10^{-12}\).

Standard form writes a number as \(k \times 10^{n}\), where \(1 \le k \lt 10\) and n is an integer. In \(8.5 \times 10^{-12}\), k = 8.5 lies between 1 and 10.

The others break the rule for k: 83.7 and 45 are 10 or more, and 0.6 is less than 1. In standard form they would be \(8.37 \times 10^{-8}\), \(4.5 \times 10^{4}\) and \(6 \times 10^{14}\).

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