Math Example--Numerical Expressions--Dividing Integers: Example 16

Topic

Numerical Expressions

Description

This example illustrates the division of two negative integers: (-9) ÷ (-6). The solution demonstrates that dividing two negative integers results in a positive fraction. The calculation is presented step-by-step: 

(-9) ÷ (-6) = -9 / -6 = -3 / -2 = 1 1/2.

Understanding the division of negative integers 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 simplified fraction.

Exposure to multiple worked-out examples is essential for students to fully grasp the concept of dividing negative integers 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 two negative integers. Notice how we get a positive fraction as our result. Can you explain why the answer is positive and how we arrive at 1/2? Let's work through the problem step-by-step and discuss how we handle the sign changes and simplify the fraction. How does this example compare to the previous ones we've seen with mixed numbers or whole number quotients?"

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