To solve this problem, you need to divide $10.00 by $1.29. When you set up the division problem, you will have two decimal points in the divisor (1.29).
Unfortunately I can't format this to look like a division problem, so you'll just have to imagine it.
1.29 | 10.00
Before you do the division, you should move the decimal two places to the right so you will have a whole number as a divisor. When you do this, you also have to move the decimal in the dividend (10.00). You end up with this:
129 | 1000
Since 129 doesn't fit into 100, you have to see how many times it will go into 1000.
129 x 7 = 903, so . . .
You will have a 7 above the ones place in the 1000. Then subtract 903 from 1000, and you get 97.
Add some more zeros so you can keep dividing, and don’t forget the decimal point in both the dividend and the quotient.
129 | 1000.00
You had 97 left from the first step -- bring down the zero and you have 970. Again, 129 goes in 7 times, with 67 left this time.
At this point your answer is 7.7 Even though the quotient now goes into the tenths place, you shouldn’t stop yet. You need to find out what the next number would be. If it is 5 or higher, you would have to round 7.7 up to 7.8
129 goes 5 times into 670, so you do need to round up. There’s no need to do another step of division. Even if the next number was 5 or higher it wouldn’t make a difference because you have to round up the 5 anyway.
So, the answer is 7.8 gallons.
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