Question

What is -8.64 / -0.024?

Answer 1

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

$\begin{gathered} -8.64=-\frac{864}{100} \\ -0.024=-\frac{24}{1000} \end{gathered}$

then, we can write the division like this:

$-8.64\frac{\cdot}{\cdot}-0.024=-\frac{864}{100}\frac{\cdot}{\cdot}(-\frac{24}{1000})$

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

$\begin{gathered} \frac{a}{b}\frac{\cdot}{\cdot}\frac{c}{d}=\frac{a\cdot d}{b\cdot c} \\ b,d\ne0 \end{gathered}$

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:

$-\frac{864}{100}\frac{\cdot}{\cdot}(-\frac{24}{1000})=\frac{864\cdot1000}{24\cdot100}=\frac{864\cdot10}{24}=\frac{8640}{24}=360$

therefore the final result is 360