Question

What is -8.64 / -0.024?

Answer 1

Let's first write both numbers in their fraction form:

`\begin{gathered} -8.64=-(864)/(100) \\ -0.024=-(24)/(1000) \end{gathered}`

then, we can write the division like this:

`-8.64(\cdot)/(\cdot)-0.024=-(864)/(100)(\cdot)/(\cdot)(-(24)/(1000))`

Now, given the general rule for the division of fractions, we have:

`\begin{gathered} (a)/(b)(\cdot)/(\cdot)(c)/(d)=(a\cdot d)/(b\cdot c) \\ b,d\\e0 \end{gathered}`

also notice that we are dividing two negative numbers, then our final result will be positive according to the law of signs. Then, we have in this case:

`-(864)/(100)(\cdot)/(\cdot)(-(24)/(1000))=(864\cdot1000)/(24\cdot100)=(864\cdot10)/(24)=(8640)/(24)=360`

therefore the final result is 360