To find out how many meters are in 1 centimeter, we need to understand the relationship between centimeters and meters.
1. Understanding the Units:
- 1 meter (m) is defined as 100 centimeters (cm).
2. Relationship:
- Therefore, to convert centimeters to meters, we need to know how much of a meter 1 centimeter represents. Essentially, 1 centimeter is a fraction of a meter.
3. Fraction Conversion:
- Since there are 100 centimeters in a meter, 1 centimeter is [tex]\(\frac{1}{100}\)[/tex] of a meter.
4. Decimal Form:
- [tex]\(\frac{1}{100}\)[/tex] as a decimal is 0.01.
5. Scientific Notation:
- Additionally, [tex]\(\frac{1}{100}\)[/tex] can be expressed in scientific notation as [tex]\(10^{-2}\)[/tex]. This simplifies our understanding of the conversion factor.
So, to summarize:
[tex]\[
1 \, \text{cm} = \frac{1}{100} \, \text{m} = 0.01 \, \text{m} = 10^{-2} \, \text{m}
\][/tex]
Therefore, the correct answer is:
[tex]\[
1 \, \text{cm} = \frac{1}{100} \, \text{m} \text{ or } 10^{-2} \, \text{m}
\][/tex]
