A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 3 seconds?
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The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any
, so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have so