Question

A leak in a water tank causes the water level to decrease by 3.6×10−2 millimeters each second. About how many millimeters does the water level in the tank decrease in 5 hours, or 1.8×104 seconds? Drag and drop the values to the boxes to express the answer in scientific notation.
2
5
5.4
6.5
10^-8
10^-2
10^2
10^6

Answer 1

For this case, the first thing you should do is multiply the rate of decrease by time.
 We have then:
 (3.6 × 10-2) * (1.8 × 104)
 = 648 mm
 We are going to convert this number into scientific notation:
 = 6.48 * 10 ^ 2 mm
 Rounding we have:
 = 6.5 * 10 ^ 2 mm
 Answer:
 The water level in the tank decreases in 6.5 * 10 ^ 2 millimeters in 5 hours