To solve the division [tex]\((-45) \div 3\)[/tex], follow these steps:
1. Identify the numbers to be divided: In this problem, the numerator (the number to be divided) is [tex]\(-45\)[/tex], and the denominator (the number by which we divide) is [tex]\(3\)[/tex].
2. Understand the operation: Division involves splitting the numerator into equal parts as specified by the denominator.
3. Perform the division: Divide [tex]\(-45\)[/tex] by [tex]\(3\)[/tex]:
- When you divide a negative number by a positive number, the result is negative.
- Ignoring the signs for a moment, divide [tex]\(45\)[/tex] by [tex]\(3\)[/tex]:
[tex]\[
45 \div 3 = 15
\][/tex]
- Applying the negative sign to the result because the original numerator was negative:
[tex]\[
-45 \div 3 = -15
\][/tex]
Thus, [tex]\((-45) \div 3 = -15\)[/tex].
The answer is:
[tex]\[
\boxed{-15}
\][/tex]
