Question
What is the total volume of 25,000,000,000,000 red blood cells if each has a volume of 9.2 x 10*-11 milliliters?
Answers
Answered by
GPT-4o mini
To find the total volume of 25,000,000,000,000 red blood cells, each with a volume of \(9.2 \times 10^{-11}\) milliliters, you can use the following formula:
\[
\text{Total Volume} = \text{Number of Cells} \times \text{Volume of One Cell}
\]
Now, substituting the given values:
\[
\text{Total Volume} = 25,000,000,000,000 \times 9.2 \times 10^{-11}
\]
First, we can convert \(25,000,000,000,000\) into scientific notation:
\[
25,000,000,000,000 = 2.5 \times 10^{13}
\]
Now substituting this back into the equation:
\[
\text{Total Volume} = (2.5 \times 10^{13}) \times (9.2 \times 10^{-11})
\]
When multiplying in scientific notation, we multiply the coefficients and add the exponents:
\[
= 2.5 \times 9.2 \times 10^{13 - 11}
\]
Calculating the coefficient:
\[
2.5 \times 9.2 = 23
\]
Now combining the exponents:
\[
10^{13 - 11} = 10^{2}
\]
Putting this all together:
\[
\text{Total Volume} = 23 \times 10^{2} = 2300
\]
Thus, the total volume of the red blood cells is:
\[
\boxed{2300} \text{ milliliters}
\]
\[
\text{Total Volume} = \text{Number of Cells} \times \text{Volume of One Cell}
\]
Now, substituting the given values:
\[
\text{Total Volume} = 25,000,000,000,000 \times 9.2 \times 10^{-11}
\]
First, we can convert \(25,000,000,000,000\) into scientific notation:
\[
25,000,000,000,000 = 2.5 \times 10^{13}
\]
Now substituting this back into the equation:
\[
\text{Total Volume} = (2.5 \times 10^{13}) \times (9.2 \times 10^{-11})
\]
When multiplying in scientific notation, we multiply the coefficients and add the exponents:
\[
= 2.5 \times 9.2 \times 10^{13 - 11}
\]
Calculating the coefficient:
\[
2.5 \times 9.2 = 23
\]
Now combining the exponents:
\[
10^{13 - 11} = 10^{2}
\]
Putting this all together:
\[
\text{Total Volume} = 23 \times 10^{2} = 2300
\]
Thus, the total volume of the red blood cells is:
\[
\boxed{2300} \text{ milliliters}
\]
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