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=(1)/(1.057) litre`

`0.073gallons=0.292*1quarts`

`0.073gallons=0.292*(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