A dime is found to have a mass of 2.33 grams.
Using unit analysis, show what the mass of this dime is in kilograms.
2.33 grams
x
________ _______
(number) (unit)
________________________________________________
________ ________
(number) (unit)
= ? ___ kg
2.33 g x (1 kg/1000g) = ? kg
0.00233
To convert grams to kilograms, we need to know the conversion factor between these two units. The conversion factor between grams and kilograms is that 1 kilogram is equal to 1000 grams.
Now, let's set up a conversion factor using unit analysis to find the mass of the dime in kilograms:
2.33 grams (1 kilogram)
------------- x ------------------
(1) (1000 grams)
The "(1)" next to grams is a placeholder to ensure that the units cancel appropriately.
To solve for x, we can multiply the given value (2.33 grams) by the conversion factor:
2.33 grams * (1 kilogram / 1000 grams) = 0.00233 kilograms
Therefore, the mass of the dime is 0.00233 kilograms.