To determine which number goes in the "division house" when simplifying [tex]\(-2.7 \div 0.3\)[/tex], we need to understand the structure of the division operation.
In a division expression, the number being divided is called the dividend, and the number by which we divide is called the divisor. When we perform long division, the dividend (the numerator in the expression) is the number that goes inside the "division house."
For the given division [tex]\(-2.7 \div 0.3\)[/tex]:
1. Identify the dividend and divisor.
- Here, [tex]\(-2.7\)[/tex] is the dividend (numerator).
- [tex]\(\ 0.3\)[/tex] is the divisor (denominator).
2. Place the dividend (numerator) inside the "division house."
Therefore, the number that goes inside the "division house" is [tex]\(2.7\)[/tex] (the absolute value of the dividend). The sign can be dealt with separately when performing the division operation, but for the purpose of setting up the long division, [tex]\(2.7\)[/tex] is placed inside the "division house."
The answer is:
[tex]$\boxed{2.7}$[/tex]
