Answer :
Sure! Let's go through a step-by-step solution to the problem.
1. Understand the Conversion Factor: We know from the problem that 1 centimeter (cm) is equivalent to 0.01 meters (m). This is a crucial piece of information as it helps us convert any measurement in centimeters to meters.
2. Identify the Original Measurement: The original measurement given is 195 centimeters.
3. Apply the Conversion Factor: To convert 195 cm to meters, we must multiply the number of centimeters by the conversion factor. This can be written mathematically as:
[tex]\[
195 \, \text{cm} = 195 \times 1 \, \text{cm}
\][/tex]
Since [tex]\(1 \, \text{cm} = 0.01 \, \text{m}\)[/tex], we substitute this into the equation:
[tex]\[
195 \times 1 \, \text{cm} = 195 \times 0.01 \, \text{m}
\][/tex]
4. Calculate the Result: Now, perform the multiplication:
[tex]\[
195 \times 0.01 = 1.95 \, \text{m}
\][/tex]
5. Conclusion: Therefore, 195 centimeters is equivalent to 1.95 meters.
I hope this detailed explanation helps you understand how the conversion works! Feel free to ask if you have any more questions.
1. Understand the Conversion Factor: We know from the problem that 1 centimeter (cm) is equivalent to 0.01 meters (m). This is a crucial piece of information as it helps us convert any measurement in centimeters to meters.
2. Identify the Original Measurement: The original measurement given is 195 centimeters.
3. Apply the Conversion Factor: To convert 195 cm to meters, we must multiply the number of centimeters by the conversion factor. This can be written mathematically as:
[tex]\[
195 \, \text{cm} = 195 \times 1 \, \text{cm}
\][/tex]
Since [tex]\(1 \, \text{cm} = 0.01 \, \text{m}\)[/tex], we substitute this into the equation:
[tex]\[
195 \times 1 \, \text{cm} = 195 \times 0.01 \, \text{m}
\][/tex]
4. Calculate the Result: Now, perform the multiplication:
[tex]\[
195 \times 0.01 = 1.95 \, \text{m}
\][/tex]
5. Conclusion: Therefore, 195 centimeters is equivalent to 1.95 meters.
I hope this detailed explanation helps you understand how the conversion works! Feel free to ask if you have any more questions.