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Type the integer that makes the following division sentence true:

[tex]\[
\frac{\square}{-9} = -60
\][/tex]


Sagot :

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]
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