To find the combined diameter of a human body cell and a plant cell, we need to add their diameters together. Here are the details of the solution step-by-step:
1. Identify the given diameters:
- The diameter of the human body cell is [tex]\(5.1 \times 10^{-4} \text{ cm}\)[/tex].
- The diameter of the plant cell is [tex]\(8 \times 10^{-3} \text{ cm}\)[/tex].
2. Express the diameters in standard form for better visualization:
- [tex]\(5.1 \times 10^{-4} \text{ cm}\)[/tex] can be written as [tex]\(0.00051 \text{ cm}\)[/tex].
- [tex]\(8 \times 10^{-3} \text{ cm}\)[/tex] can be written as [tex]\(0.008 \text{ cm}\)[/tex].
3. Add the diameters together:
To find the combined diameter, we simply add the two values:
[tex]\[
0.00051 \text{ cm} + 0.008 \text{ cm} = 0.00851 \text{ cm}
\][/tex]
4. Convert this combined diameter back into scientific notation:
The decimal number [tex]\(0.00851\)[/tex] can be expressed in scientific notation. To do this, move the decimal point 3 places to the right, which gives us:
[tex]\[
0.00851 = 8.51 \times 10^{-3} \text{ cm}
\][/tex]
Final Answer:
The combined diameter of the human body cell and the plant cell is [tex]\(8.51 \times 10^{-3} \text{ cm}\)[/tex].
