Find each product or quotient where possible. See Example 2.100-25

Verified step by step guidance

1. Identify the operation needed: In this case, you are asked to find the quotient of 100 and -25.
2. Recall the rule for division involving negative numbers: Dividing a positive number by a negative number results in a negative quotient.
3. Set up the division expression: \( \frac{100}{-25} \).
4. Simplify the expression by dividing the absolute values: Divide 100 by 25.
5. Apply the sign rule: Since you are dividing a positive number by a negative number, the result will be negative.

Key Concepts

Multiplication of Integers

Multiplication of integers involves combining equal groups of numbers. In this case, multiplying 100 by -25 results in a negative product because one factor is negative. The rule states that a positive number multiplied by a negative number yields a negative result.

Division of Integers

Division of integers is the process of determining how many times one integer is contained within another. When dividing a positive integer by a negative integer, the result is also negative. Understanding this concept is crucial for correctly interpreting the quotient of numbers.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. In this context, it is important to apply multiplication and division before addition or subtraction, which helps in accurately solving expressions involving multiple operations.