# Question #6cdf0

##### 1 Answer

Here's how you can do that.

#### Explanation:

**Dimensional analysis** is all about using *conversion factors* to go from one unit to another.

In this case, to get from *days* to *seconds* you have to use conversion factors that take you from

days#-># hourshours#-># minutesminutes#-># seconds

Now, these are all fairly common conversion factors, so I won't go into any detail about them. Starting with **days**, you can say that you have

#2.5 color(red)(cancel(color(black)("days"))) * overbrace((24color(red)(cancel(color(black)("hours"))))/(1color(red)(cancel(color(black)("day")))))^(color(blue)("days to hours")) * overbrace((60 color(red)(cancel(color(black)("minutes"))))/(1color(red)(cancel(color(black)("hour")))))^(color(purple)("hours to minutes")) * overbrace("60 seconds"/(1color(red)(cancel(color(black)("minute")))))^(color(darkgreen)("minutes to seconds")) = "216,000 seconds"#

Seeing how you only have two **sig figs** for the number of days given to you, the answer should be rounded off to

#"2.5 days " = color(green)(|bar(ul(color(white)(a/a)color(black)("220,000 seconds")color(white)(a/a)|)))#