Pregunta
Type the integer that makes the following division sentence true: \( \square \div 86=-69 \)
Ask by Lawson Pollard. in the United States
Jan 30,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The integer that makes the equation true is \(-5934\).
Solución
To solve the equation:
\[
\square \div 86 = -69
\]
We need to find the integer that replaces the square (□). Let's denote this integer as \( x \). The equation can be rewritten as:
\[
x \div 86 = -69
\]
To solve for \( x \), multiply both sides of the equation by 86:
\[
x = -69 \times 86
\]
Now, perform the multiplication:
\[
69 \times 86 = (70 - 1) \times 86 = 70 \times 86 - 1 \times 86
\]
Calculate each part:
\[
70 \times 86 = 6,020 \quad \text{(since } 7 \times 86 = 602\text{, and } 602 \times 10 = 6,020\text{)}
\]
\[
1 \times 86 = 86
\]
Subtract the second part from the first:
\[
6,020 - 86 = 5,934
\]
Since the original equation has a negative sign:
\[
x = -5,934
\]
**Answer:** \(-5934\)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To find the integer that makes the division sentence true, we need to multiply -69 by 86. So, we calculate: \(-69 \times 86 = -5934\). Therefore, \( \square = -5934 \). So, the integer that fills the square in the division sentence is -5934.
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