The diameter of a human blood cell is 0.0000062 m. How can this number best be expressed in scientific notation?

A. [tex]6.2 \times 10^{-7} \, \text{m}[/tex]
B. [tex]62 \times 10^{-5} \, \text{m}[/tex]
C. [tex]6.2 \times 10^{-6} \, \text{m}[/tex]
D. [tex]6.2 \times 10^{-5} \, \text{m}[/tex]



Answer :

To express the diameter of a human blood cell, which is 0.0000062 meters, in scientific notation, you need to follow these steps:

1. Identify the significant digits: In the number 0.0000062, the significant digits are 6.2.

2. Place the significant digits in front of a multiplication sign with 10: Hence, it becomes 6.2.

3. Determine the power of 10: To convert it into scientific notation, count how many places the decimal point has moved to the right to get from 6.2 back to the original number, 0.0000062. Starting at 6.2, you move the decimal point 6 places to the left to reach 0.0000062. Since you moved the decimal to the left, the exponent will be negative.

4. Write the number in scientific notation: Combining these parts, you get:
[tex]\[ 0.0000062 = 6.2 \times 10^{-6} \][/tex]

Thus, the best way to express 0.0000062 meters in scientific notation is:
[tex]\[ \boxed{6.2 \times 10^{-6} \text{ m}} \][/tex]

Hence, the correct answer is:
[tex]\[ \boxed{C. \, 6.2 \times 10^{-6} \text{ m}} \][/tex]