Question

Use dimensional analysis to convert 840 mL to L

Answer 1

Answer: " 0.85 L " ; or, write as: "
`(21)/(25)` L " .

______________________________

Explanation:

______________________________

Note the exact conversion: 1000 mL = 1 L .

840 mL *
`(1 L)/(1000mL)` = ? L ;

The unit of "mL" cancel out; since "mL/mL" = 1 ;

since any non-zero value, divided by itself, results in "1 " ;

and we have:

(840/ 1000) L ;

Cancel out a "zero" for both the number and the denominator:

to get:

(84/ 100) L ;

84 ÷ 100 = 0.84 ;

______________________________

The answer is: 0.84 mL ;

______________________________

84/100 = ? ; divide each side by "4" ;

(84÷4)/(100÷4) = 21/25 ;

______________________________

The answer is: 0.85 L ; or, write as: "
`(21)/(25)` L " .

______________________________

Hope this is helpful to you. Best of luck!

______________________________