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

the answer is 6. *10^2

I took the test

Answer 2

`6.48* 10^(2)` millimeters.

Explanation:

We have been given that a leak in a water tank causes the water level to decrease by
`3.6* 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* 10^(-2) * 1.8* 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 * 1.8* 10^(-2+4)`

`\text{The decrease in water level in the tank}=3.6 * 1.8* 10^(2)`

`\text{The decrease in water level in the tank}=6.48* 10^(2)`

Therefore, the water level in tank decreased
`6.48* 10^(2)` millimeters in 5 hours.