Question

Make and test a conjecture about the quotient of two negative integersThe quotient of two negative integers is anumber.= =14 =-21 =--21-5

Answer 1

The conjecture is;

"The quotient of two negative integers is a positive rational number"

Step-by-step explanation:

Recall that negative divided by negative is equal to positive;

`(-1)/(-1)=1`

for the given question;

`\begin{gathered} (-4)/(-5)=(-1*4)/(-1*5)=1*(4)/(5) \\ (-4)/(-5)=(4)/(5) \end{gathered}`

secondly;

`\begin{gathered} (-14)/(-7)=(14)/(7)=2 \\ (-14)/(-7)=2 \end{gathered}`

Thirdly;

`(-21)/(-5)=(21)/(5)`

we can observe that all the quotient of two negative integers solved in the three questions above gave a positive rational number.

Therefore, The conjecture is;

"The quotient of two negative integers is a positive rational number"