Question

27÷(-3)=(-27)÷3
9(4)=-9(□)

Explanation:

Step1: Analyze the first equation

We know that \(27\div(-3)= - 9\) and \((-27)\div3=-9\), so the first equation holds because dividing a positive number by a negative number or a negative number by a positive number gives a negative result, and the absolute values are \(27\div3 = 9\).

Step2: Analyze the second equation

We have \(9\times4 = 36\), but we need to find a number \(x\) such that \(9\times x=-9\). Solving for \(x\), we use the formula \(x=\frac{-9}{9}\).

Step3: Calculate the value of \(x\)

\(\frac{-9}{9}=- 1\). So the number in the box should be \(-1\).

Answer:

\(-1\)