Question

A leak in a water tank causes the water level to decrease by 3.6×10−23.6×10−2 millimeters each second. About how many millimeters does the water level in the tank decrease in 5 hours, or 1.8×1041.8×104 seconds? Drag and drop the values to the boxes to express the answer in scientific notation.

Answer 1

Answer:

$6.48\times 10^{2}$ millimeters.  

Step-by-step explanation:

We have been given that a leak in a water tank causes the water level to decrease by $3.6\times 10^{-2}$ millimeters each second.

To find the decrease in water level in 5 hours let us multiply water decrease in one second by number of seconds in 5 hours.

$\text{The decrease in water level in the tank}=3.6\times 10^{-2} \times 1.8\times 10^4$

Using the exponent product rule let us add the exponents with same base (10).

$\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{-2+4}$

$\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{2}$

$\text{The decrease in water level in the tank}=6.48\times 10^{2}$

Therefore, the water level in tank decreased $6.48\times 10^{2}$ millimeters in 5 hours.