Dimensional analysis worksheet

Convert 3.42 g into kilograms

1 kilogram = 1,000 grams

The fraction (1 kilogram / 1,000 grams) is equal to ' 1 ',

because the numerator and denominator are equal.

So you could multiply your 3.42 grams by that fraction without

changing the value of the 3.42 grams.

(3.42 grams) x (1 kilogram / 1,000 grams)

= (3.42 x 1 / 1,000) x (grams - kilogram / grams)

You can cancel 'grams' out of the numerator and denominator of the unit,

and then you have

(3.42 x 1 / 1,000) kilogram

= 0.00342 kilogram.