Question
If you know the ratio of inches to centimeters is 1 to 2.54, how can you find the number of centimeters equivalent to 9 inches? What is the relationship between centimeters and inches?
Answers
GPT-4o mini
To find the number of centimeters equivalent to a certain number of inches, you can use the given ratio of inches to centimeters, which is 1 inch = 2.54 centimeters.
To convert inches to centimeters, you simply multiply the number of inches by the conversion factor (2.54 cm/inch).
For 9 inches, the calculation would be:
\[
9 \text{ inches} \times 2.54 \text{ cm/inch} = 22.86 \text{ cm}
\]
So, 9 inches is equivalent to 22.86 centimeters.
The relationship between centimeters and inches can be summarized as follows:
- 1 inch is equal to 2.54 centimeters.
- Conversely, 1 centimeter is equal to approximately 0.393701 inches (which is calculated by taking the reciprocal of 2.54).
This means that to convert inches to centimeters, you multiply by 2.54, and to convert centimeters to inches, you divide by 2.54.
To convert inches to centimeters, you simply multiply the number of inches by the conversion factor (2.54 cm/inch).
For 9 inches, the calculation would be:
\[
9 \text{ inches} \times 2.54 \text{ cm/inch} = 22.86 \text{ cm}
\]
So, 9 inches is equivalent to 22.86 centimeters.
The relationship between centimeters and inches can be summarized as follows:
- 1 inch is equal to 2.54 centimeters.
- Conversely, 1 centimeter is equal to approximately 0.393701 inches (which is calculated by taking the reciprocal of 2.54).
This means that to convert inches to centimeters, you multiply by 2.54, and to convert centimeters to inches, you divide by 2.54.