Question

Is your estimate larger or smaller than the actual number of liters in a gallon? Explain how you know.

Answer 1

Question:

There are 33.8 fluid ounces in a litre. There are 128 fluid ounces in a gallon. About how many litres are in a gallon?

Is your estimate larger or smaller than the actual number of litres in a gallon? Explain how you know

Answer:

It is larger

Explanation:

Given

`33.8\ fl\ oz = 1\ litre`

`128\ fl\ oz = 1\ gallon`

Required

Estimate number of litres in a gallon

`33.8\ fl\ oz = 1\ litre`

`128\ fl\ oz = 1\ gallon`

Cross Multiply

`128\ fl\ oz * 1\ litre = 33.8\ fl\ oz * 1\ gallon`

`128 * 1\ litre = 33.8* 1\ gallon`

Divide both sides by 33.8

`(128 * 1\ litre)/(33.8) = (33.8* 1\ gallon)/(33.8)`

`(128 * 1\ litre)/(33.8) = 1\ gallon`

`3.78698224852\ litre = 1\ gallon`

Approximate

`3.787\ litres = 1\ gallon`

The estimate is larger than the actual litres to gallon conversion because, in standard units of conversion;

`3.785\ litres = 1\ gallon`