Find each product or quotient where possible. See Example 2. 100 / -25

Verified step by step guidance

1. Identify the operation between the two numbers. Since the problem shows 100 and -25 without a clear operator, clarify whether it is a product (multiplication) or quotient (division).
2. If the operation is multiplication, write the expression as \(100 \times (-25)\). If it is division, write it as \(\frac{100}{-25}\).
3. Recall the rules for multiplying or dividing positive and negative numbers: multiplying or dividing a positive number by a negative number results in a negative number.
4. Perform the multiplication or division on the absolute values: multiply 100 by 25 or divide 100 by 25.
5. Attach the correct sign to the result based on the sign rules and write the final expression without calculating the numeric value.

Key Concepts

Basic Arithmetic Operations

Understanding multiplication and division is essential for finding products and quotients. Multiplication combines equal groups, while division splits a quantity into equal parts or groups. These operations form the foundation for solving numerical expressions.

Handling Negative Numbers

Knowing how to multiply and divide negative numbers is crucial. The product or quotient of two numbers with the same sign is positive, while with different signs it is negative. This rule helps determine the correct sign of the answer.

Simplifying Numerical Expressions

Simplifying involves performing operations step-by-step to reduce expressions to their simplest form. This includes calculating products or quotients accurately and expressing the result in the simplest terms, which is key to solving the given problem.