The thickness of a quarter is approximately 2 millimeters. how many quarters would you need to make a two kilometer high pile? a. 100,000 c. 1,000,000 b. 2,000,000 d. 4,000,000

c. 1,000,000

Step-by-step explanation:

Notice the measurements of the quarter is in millimetres, whereas the pile is given in kilometres. First, find the conversion from kilometres to millimetres.

2 km = ? mm

Usually, we know there are a thousands metres in a kilometre.

1 km = 1000 m

One meter has a hundred centimetres.

1 m = 100 cm

One centimeter is ten millimetres.

1 cm = 10 mm

Combine all of the measurements together.

1000*100*10 mm = 1 km

1,000,000 mm = 1 km

To get from millimetres to kilometres, multiply the kilometres by 1,000,000.

2 km = ? mm

(2 km)(1,000,000) = ? mm

2,000,000 mm = 2 km

We need 2,000,000 mm to make a 2 km pile. HOWEVER, we are using quarters, and each quarter is 2 mm thick. Divide the total milimetres by the thickness of a quarter.

2,000,000 mm ÷ 2 mm/quarter = 1,000,000 quarters

Therefore, you would need 1 million (1,000,000) quarters to make a 2 kilometre high pile.