Question

0.531 millimeters = 5.31·10⁻⁴ meters

c) divide the width of the needle by the diameter of a red blood cell. in other words, divide your answer from (b) by your answer from (a). give your answer in standard notation. round to the nearest whole number.

Explanation:

To solve this, we need the answers from parts (a) and (b). Let's assume:

• Let the diameter of a red blood cell (from part a) be \( d = 7 \times 10^{-6} \) meters (a typical value).
• The width of the needle (from part b) is \( 5.31 \times 10^{-4} \) meters (from the given conversion).

Step 1: Set up the division

We divide the needle width by the red blood cell diameter:
\[
\frac{5.31 \times 10^{-4}}{7 \times 10^{-6}}
\]

Step 2: Simplify the scientific notation

Use the rule \( \frac{a \times 10^m}{b \times 10^n} = \frac{a}{b} \times 10^{m - n} \):
\[
\frac{5.31}{7} \times 10^{-4 - (-6)} = \frac{5.31}{7} \times 10^{2}
\]

Step 3: Calculate the numerical part

\( \frac{5.31}{7} \approx 0.7586 \)

Step 4: Multiply by \( 10^2 \) (which is 100)

\( 0.7586 \times 100 = 75.86 \)

Step 5: Round to the nearest whole number

\( 75.86 \approx 76 \)

Answer:

\( 76 \)