Q57. - Algebra 2

Question

Use the diagram at the right to write the diameter of the typical flu virus in scientific notation.

 

Step-by-Step Solution

Answer

The scientific notation of the given number is $2\times {10}^{-7}\text{ meter}$ .

Step 1. Write down the given information.

From the given figure,

It can be interpreted that the diameter of the typical flu virus is $0.0000002$  meter.

Step 2. Expressing the number in scientific notation.

The diameter$0.0000002$   meter in scientific notation is expressed as:

$\begin{array}{c}0.0000002=\frac{2}{10000000}\\ =\frac{2}{{10}^7}\mathrm{....}\left(\begin{array}{l}\text{Multiply and}\\ \text{divide by 100}\end{array}\right)\\ =2\times {10}^{-7}\text{ meter}\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is $2\times {10}^{-7}\text{ meter}$ .