Math Example--Numerical Expressions--Dividing Integers: Example 15

Topic

Numerical Expressions

Description

This example demonstrates the division of a negative integer by a positive integer: -18 ÷ 4. The solution shows that dividing a negative by a positive results in a negative quotient, which in this case is a fraction. The calculation is presented as: -18 / 4 = -9/2 = -4 1/2.

Understanding the division of integers with different signs that result in fractions is an important aspect of working with numerical expressions. This collection of examples helps teach the concept by showcasing various scenarios, allowing students to observe how the signs affect the quotient and how to express the result as a fraction.

Exposure to multiple worked-out examples is essential for students to fully grasp the concept of dividing integers with different signs that result in fractions. Each example reinforces the rules of sign changes in division and the process of simplifying fractions, helping students build their confidence in handling more complex division problems.

Teacher Script: "Let's examine this example where we're dividing a negative integer by a positive integer. Notice how we get a negative fraction as our result. Can you explain why the answer is negative and how we arrive at -9/2? Let's work through the problem step-by-step and discuss how we handle the sign change and express the result as a fraction. How does this example compare to the previous ones we've seen with mixed numbers?"

For a complete collection of math examples related to Numerical Expressions click on this link: Math Examples: Dividing Integers Collection.