tyrone jogged 5 miles along the fitness trail . How many feet did he jog ? How many inches did he jog ?

Question

the question is about converting lengths 

Answer 1

To convert units without changing the value, we use the Multiplicative Identity (that is, 1).  Any number multiplied by 1 remains the same.

 

For this problem:

 

1 = (1 mile) / (5280 feet) = (5280 feet) / (1 mile)

1 = (1 foot) / (12 inches) = (12 inches) / (1 foot)

 

So,

     5 miles

     (5 miles)*1

     (5 miles) * ( (5280 feet)/(1 mile) )          [choose the one so units will cancel]

     26400 feet

 

     (26400 feet) * ( (12 inches)/(1 foot) )

     316800 inches

Answer 2

Just need to do a few conversions:

 

First:

 

5miles/xft = 1mile/5280ft

 

Cross multiply to get x = 5 * 5280ft = 26400ft.

 

Now, change ft to inches:

 

26400ft/xinches = 1ft/12inches

 

Again, cross multiply:

 

x = 26400 * 12inches = 316800inches