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

Step-by-step 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

$\frac{128 * 1\ litre}{33.8} = \frac{33.8* 1\ gallon}{33.8}$

$\frac{128 * 1\ litre}{33.8} = 1\ gallon$

$3.78698224852\ litre = 1\ gallon$

Approximate

$3.787\ litres = 1\ gallon$

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

$3.785\ litres = 1\ gallon$