To find the integer that makes the division sentence true, we start from the given equation:
[tex]\[ \square \div (-9) = -60 \][/tex]
Our goal is to determine the value of the unknown integer (represented by the blank square) that satisfies this equation. Let's denote the unknown integer as [tex]\( x \)[/tex]. Thus, we rewrite the equation as:
[tex]\[ \frac{x}{-9} = -60 \][/tex]
To isolate [tex]\( x \)[/tex], we need to undo the division by [tex]\(-9\)[/tex]. We achieve this by multiplying both sides of the equation by [tex]\(-9\)[/tex]:
[tex]\[ x = -60 \times (-9) \][/tex]
Next, we perform the multiplication. Multiplying two negative numbers results in a positive number:
[tex]\[ x = 540 \][/tex]
Thus, the integer that makes the division sentence true is:
[tex]\[ 540 \][/tex]
