Question

represented using scientific notation?

(0.000000655\text{ ml} =)

• (6.55 \times 10^{-7}\text{ ml})
• (6.55 \times 10^{9}\text{ ml})
• (655 \times 10^{6}\text{ ml})

Explanation:

Identify the given number

We are given the decimal value:

$$ 0.000000655\text{ mL} $$

Define scientific notation format

Scientific notation has the standard form:

$$ a \times 10^n $$

where \(1 \le |a| < 10\) and \(n\) is an integer.

Determine the coefficient

To find \(a\), move the decimal point to get a number between 1 and 10:

$$ a = 6.55 $$

Count decimal places moved

Count the places moved to the right to go from \(0.000000655\) to \(6.55\):

• Move 1: \(0.00000655\)
• Move 2: \(0.0000655\)
• Move 3: \(0.00055\)
• Move 4: \(0.00655\)
• Move 5: \(0.0655\)
• Move 6: \(0.655\)
• Move 7: \(6.55\)

Moving 7 places to the right means:

$$ n = -7 $$

Write the final expression

Combine the coefficient and power of 10:

$$ 6.55 \times 10^{-7}\text{ mL} $$

Answer:

• (A) \(6.55 \times 10^{-7}\text{ mL}\) (Correct answer)
• (B) \(6.55 \times 10^9\text{ mL}\)
• (C) \(655 \times 10^6\text{ mL}\)