Multiple choice

Express 0.000000125 as standard index form.

  1. 1.25 x 10-7

  2. 1.25 x 10-8

  3. 1.25 x 10-9

  4. 1.25 x 10-10

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A Correct answer
Explanation

To express 0.000000125 in standard form, move the decimal point 7 places to the right to get 1.25. This corresponds to 1.25 * 10^-7.

AI explanation

To convert a small decimal number to standard index form, shift the decimal point to the right until it rests after the first non-zero digit. For 0.000000125, the decimal point must move 7 places to the right to become 1.25. Because the number is less than one, the exponent for the base 10 is negative 7, giving the result 1.25 x 10-7.