Breaking Down Division when divisor is <1

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I haven't been able to figure this out but I am sure it's very simple but I can't understand how to do it.

If you take 5 x 0.5, that is the same as 0.5 + 0.5 +...

Alright so how do you break a division problem down? I realize how dividing by a number greater than 1 works, but under 1 I don't get it and if there was a way it broke down I think I would understand it. If you have 5/0.5 you get 10 obviously but how would that break down into simple terms?
 
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It works exactly the same way: It returns q such that 5 = 0.5q.
 
This works as you already learned combined maybe with a fancy way of multiplying by or dividing by 1. So, in your concept, you want to know how to handle divisor less than 1. You want to adjust the dividend AND the divisor so that the divisor is a whole number.

In your example, [itex]\frac{5}{0.5}[/itex], try multiplying both numerator and denominator by 10.

[itex]\frac{5}{0.5} \frac{10}{10}=\frac{50}{5}[/itex].

Now, you can handle the process more easily.
 
ISX said:
I haven't been able to figure this out but I am sure it's very simple but I can't understand how to do it.

If you take 5 x 0.5, that is the same as 0.5 + 0.5 +...

Alright so how do you break a division problem down? I realize how dividing by a number greater than 1 works, but under 1 I don't get it and if there was a way it broke down I think I would understand it. If you have 5/0.5 you get 10 obviously but how would that break down into simple terms?
For simple arithmetic problems such as this, you can think of division as repeated subtraction. In other wods, how many times can you subtract 0.5 from 5? Pretty obviously, the answer is 10.
 
Mark44 said:
For simple arithmetic problems such as this, you can think of division as repeated subtraction. In other wods, how many times can you subtract 0.5 from 5? Pretty obviously, the answer is 10.

That's exactly what I was looking for! Thanks for the help. Thanks to the others who expanded on this as well.