Questions: Unit Converstions A factor is a fraction or factor written so that the denominator and numerator are equivalent values with different units. One of the most useful conversion factors allows the user to convert from the imperial system to and vice versa. Since 1 inch is exactly the same length as 2.54 cm, the factor may be expressed as: These two lengths are identical so multiplication of a given length by the conversion factor will not change the length. It will simply express it in a different unit. Now if you wish to determine how many centimetres are in a yard, you have two things to consider. First, which of the two forms of the conversion factor will allow you to the imperial unit, converting it to a metric unit?

$Unit Converstions A factor is a fraction or factor written so that the denominator and numerator are equivalent values with different units. One of the most useful conversion factors allows the user to convert from the imperial system to and vice versa. Since 1 inch is exactly the same length as 2.54 cm, the factor may be expressed as: These two lengths are identical so multiplication of a given length by the conversion factor will not change the length. It will simply express it in a different unit. Now if you wish to determine how many centimetres are in a yard, you have two things to consider. First, which of the two forms of the conversion factor will allow you to the imperial unit, converting it to a metric unit?$

Transcript text: Unit Converstions A factor is a fraction or factor written so that the denominator and numerator are equivalent values with different units. One of the most useful conversion factors allows the user to convert from the imperial system to and vice versa. Since 1 inch is exactly the same length as 2.54 cm, the factor may be expressed as: These two lengths are identical so multiplication of a given length by the conversion factor will not change the length. It will simply express it in a different unit. Now if you wish to determine how many centimetres are in a yard, you have two things to consider. First, which of the two forms of the conversion factor will allow you to the imperial unit, converting it to a metric unit?

Solution

Solution Steps

Step 1: Identify the conversion factor

The conversion factor given in the question is that 1 inch is equal to 2.54 cm.

Step 2: Determine the appropriate form of the conversion factor

To convert from an imperial unit (such as yards) to a metric unit (such as centimeters), we need to use the form of the conversion factor where the imperial unit is in the denominator and the metric unit is in the numerator. This will allow us to cancel out the imperial unit and convert to the metric unit.