Final answer:
To create conversion factors from the equality 1 shekel = 14.1 grams, we derive two ratios: 14.1 grams/1 shekel and 1 shekel/14.1 grams, used for converting units between shekels and grams either by multiplying or dividing.
Step-by-step explanation:
To create conversion factors from the equality 1 shekel = 14.1 grams, we will make two ratios that relate shekels to grams. These conversion factors can be used for converting units from shekels to grams or vice versa.
The first conversion factor allows us to convert shekels to grams and is represented as 14.1 grams/1 shekel. The second conversion factor allows us to convert grams to shekels and is represented as 1 shekel/14.1 grams.
When you have a measure in shekels and you need to find out how many grams it equates to, you would multiply by the first conversion factor. Conversely, if you have a weight in grams and you need to convert it to shekels, you would divide by the second conversion factor.
Using these conversion factors:
- If we have 2 shekels and want to know how many grams that is, we would calculate 2 shekels × 14.1 grams/shekel = 28.2 grams.
- If we have 28.2 grams and want to convert it back to shekels, we would calculate 28.2 grams ÷ 14.1 grams/shekel = 2 shekels.
Remember to always ensure that the units you are converting from cancel out, leaving you with the units you are converting to.