Arrange the steps for converting 10 inches to centimetres using the supplied factor.
Answer
Identify the given length as 10 inches., Write the conversion factor as 2.5 cm per inch., Multiply 10 inches by the conversion factor so inches cancel., Report the result in centimetres.
Explanation
### The order
1. **Identify the given length as 10 inches.** This establishes the starting value and unit.
2. **Write the conversion factor as 2.5 cm per inch.** The factor comes from the supplied equivalence, $1\ \text{in}=2.5\ \text{cm}$.
3. **Multiply so inches cancel.** The calculation is $10\ \text{in}\times 2.5\ \text{cm}/\text{in}=25\ \text{cm}$.
4. **Report the result in centimetres.** Centimetres are the requested target unit.
### Worked numbers
- **Given**: $10\ \text{in}$.
- **Find**: length in centimetres.
- **Convert**: $1\ \text{in}=2.5\ \text{cm}$.
- **Solve**: $10\ \text{in}\times 2.5\ \text{cm}/\text{in}=25\ \text{cm}$.
- **Answer**: $25\ \text{cm}$.
- **Check**: inches cancel, leaving centimetres.
### Terms
- **Inch (in)**: a unit of length.
- **Centimetre (cm)**: a metric unit of length.
- **Conversion factor**: a ratio that converts one unit to another.
### Remember
Put the target unit on top so the starting unit cancels.
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