Certainly! Let's break down the solution step-by-step.
### Part (a): Express the length of bacteria in decimal of meters
The length of Lactobacillus bacteria is given in scientific notation as [tex]\( 5 \times 10^{-6} \)[/tex] meters.
To convert this into decimal form:
[tex]\[ 5 \times 10^{-6} = 0.000005 \][/tex]
So, the length of the bacteria in decimal form is 0.000005 meters.
### Part (b): Rewrite the length in centimeters and millimeters
#### Converting meters to centimeters
To convert the length from meters to centimeters, we use the fact that 1 meter = 100 centimeters. Therefore, we multiply the length in meters by 100:
[tex]\[ 5 \times 10^{-6} \, \text{meters} \times 100 = (5 \times 10^{-6}) \times 100 \][/tex]
[tex]\[ = 5 \times 10^{-4} \][/tex]
[tex]\[ = 0.0005 \][/tex]
So, the length of the bacteria in centimeters is 0.0005 centimeters.
#### Converting meters to millimeters
To convert the length from meters to millimeters, we use the fact that 1 meter = 1000 millimeters. Therefore, we multiply the length in meters by 1000:
[tex]\[ 5 \times 10^{-6} \, \text{meters} \times 1000 = (5 \times 10^{-6}) \times 1000 \][/tex]
[tex]\[ = 5 \times 10^{-3} \][/tex]
[tex]\[ = 0.005 \][/tex]
So, the length of the bacteria in millimeters is 0.005 millimeters.
### Summary
- Length in meters (decimal form): 0.000005 meters
- Length in centimeters: 0.0005 centimeters
- Length in millimeters: 0.005 millimeters
