Question

Keeping in mind the rules for significant figures, determine how many milliliters there are in 0.073 gallons. 1 gallon = 4 quarts, 1 liter = 1.057 quarts

Answer 1

we are given

there are in 0.073 gallons

we can see that there are two non-zero places after decimals

so, there are two siginificant figures

step-1: Change gallons to quarts

we know that

1 gallon = 4 quarts

so, we can write as

$0.073gallons=0.073*1gallon$

$0.073gallons=0.073*4quarts$

$0.073gallons=0.292quarts$

step-2: Change into liter

$0.073gallons=0.292quarts$

we know that

1 liter = 1.057 quarts

or

$1 quart=\frac{1}{1.057} litre$

$0.073gallons=0.292*1quarts$

$0.073gallons=0.292*\frac{1}{1.057} litre$

$0.073gallons=0.27625 litre$

step-3: Change into millilitre

we know that

$1L=1000mL$

$0.073gallons=0.27625*1 litre$

$0.073gallons=0.27625*1000 mL$

Since, it is asking for only two significant figures

so, we can also write as

$0.073gallons=0.28*1000 mL$

$0.073gallons=280 mL$...................Answer