Question

If the capacity of a water container is 5.7 gallons, then the volume of water that can be filled inside it without overflow will be _____

• A. 5.71 gallons
• B. 5.69 gallons
• C. 5.73 gallons
• D. 5.78 gallons

Answer 1

The correct option is B 5.69 gallons

First, let us compare $5.73,5.71$ and $5.78$ with $5.7$.

You know, $5.7$ can be written as $5.70$

So, Compare the volumes as:

The first unequal digit is in the hundredths place.
In the hundredths place, $0<1<3<8$.

∴ $5.70<5.71<5.73<5.78$.

Therefore, the volumes $5.71$ gallons, $5.73$ gallons and $5.78$ gallons will coverflow in the $5.7$ gallons tank.

Now, check the volume of $5.69$ gallons.


In the tenths place, you have $6<7$.

∴ $5.69<5.70$

Therefore, the only volume that will not cause overflow in the container will be $5.69$ gallons.