Answer :
To convert 328 centimeters into inches given that 1 inch equals 2.54 centimeters, we can follow these steps:
1. Understand the relationship between inches and centimeters:
- We know that 1 inch is equivalent to 2.54 centimeters.
2. Set up the conversion:
- To find out how many inches are in 328 centimeters, we need to divide the number of centimeters by the number of centimeters per inch.
- This conversion can be represented by the equation: [tex]\( \text{Inches} = \frac{\text{Centimeters}}{\text{Centimeters per inch}} \)[/tex].
3. Perform the calculation:
- Using the given values: [tex]\( \text{Inches} = \frac{328 \text{ cm}}{2.54 \text{ cm/inch}} \)[/tex].
4. Calculate the raw result:
- When you divide 328 by 2.54, you get approximately [tex]\( 129.13385826771653 \)[/tex].
5. Round the result:
- Finally, round the result to the nearest hundredth (two decimal places).
- So, [tex]\( 129.13385826771653 \)[/tex] rounded to the nearest hundredth is [tex]\( 129.13 \)[/tex].
Therefore, 328 centimeters is approximately 129.13 inches when rounded to the nearest hundredth.
1. Understand the relationship between inches and centimeters:
- We know that 1 inch is equivalent to 2.54 centimeters.
2. Set up the conversion:
- To find out how many inches are in 328 centimeters, we need to divide the number of centimeters by the number of centimeters per inch.
- This conversion can be represented by the equation: [tex]\( \text{Inches} = \frac{\text{Centimeters}}{\text{Centimeters per inch}} \)[/tex].
3. Perform the calculation:
- Using the given values: [tex]\( \text{Inches} = \frac{328 \text{ cm}}{2.54 \text{ cm/inch}} \)[/tex].
4. Calculate the raw result:
- When you divide 328 by 2.54, you get approximately [tex]\( 129.13385826771653 \)[/tex].
5. Round the result:
- Finally, round the result to the nearest hundredth (two decimal places).
- So, [tex]\( 129.13385826771653 \)[/tex] rounded to the nearest hundredth is [tex]\( 129.13 \)[/tex].
Therefore, 328 centimeters is approximately 129.13 inches when rounded to the nearest hundredth.
