To solve the division [tex]\(-100 \div 5\)[/tex], follow these steps:
1. Understand the Sign Rules for Division:
When dividing two numbers, if the numbers have different signs (one is positive and the other is negative), the quotient will be negative.
2. Divide the Absolute Values:
Ignore the signs for a moment and just divide the absolute values of the numbers. The absolute value of [tex]\(-100\)[/tex] is [tex]\(100\)[/tex], and the absolute value of [tex]\(5\)[/tex] is [tex]\(5\)[/tex]. So divide [tex]\(100\)[/tex] by [tex]\(5\)[/tex]:
[tex]\[
100 \div 5 = 20
\][/tex]
3. Apply the Correct Sign to the Quotient:
Since the original dividend ([tex]\(-100\)[/tex]) is negative and the divisor ([tex]\(5\)[/tex]) is positive, the result will be negative:
[tex]\[
-100 \div 5 = -20
\][/tex]
Thus, the result of the division [tex]\(-100 \div 5\)[/tex] is [tex]\(-20\)[/tex].
