Question

Evaluate this dimensional analysis setup. A paperclip is 3.2 cm long. How many paperclips would fit in

the length of a football field (100 yards) if 1 inch = 2.54 cm? Be sure to show ALL steps in the conversion.

(ref: p.40-46)​

Answer 1

100 yard = 9144 centimeters

9144 / 3.2 = 2,8575 round off

= 2,858 paperclips

Step-by-step explanation:

Answer 2

2857

Step-by-step explanation:

• 1 yard = 36 inches

• 1 inch = 2.54 cm

Converting the length of a football field to cm:

• 100 y *
  `(36in)/(1y)*(2.54cm)/(1in)` = 9144 cm

Calculating the number of paperclips:

• 9144 / 3.2 = 2857.5

So rounding down the answer is that 2857 paperclips would fit in the length of a football field.