High School

Which of the following represents this number in scientific notation? 0.000000000386

A. [tex]38.6 \times 10^{-10}[/tex]

B. [tex]3.86 \times 10^{10}[/tex]

C. [tex]3.86 \times 10^{11}[/tex]

D. [tex]3.86 \times 10^{-10}[/tex]

Answer :

Final answer:

In scientific notation, the number 0.000000000386 is represented as 3.86 times 10 to the negative 10 (3.86 10-¹⁰). This notation is used because we move the decimal point 10 places to the right, resulting in the negative exponent -10.

Explanation:

The question asks which of the following options represents the number 0.000000000386 in scientific notation. The correct representation for this number in scientific notation should be 3.86 followed by a power of 10. We need to move the decimal point 10 places to the right for it to stand beside the first non-zero digit, which is 3. Hence, the scientific notation becomes 3.86 x 10 to the power -10. The negative exponent signifies that the original number was less than one. Based on this explanation, the correct answer is D. 3.86 10-¹⁰.

Learn more about Scientific Notation here:

https://brainly.com/question/16936662

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