Math Example--Numerical Expressions--Dividing Integers: Example 22

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: (-144) / 12 / (-5). The solution demonstrates that dividing a negative integer by a positive integer and then by a negative integer results in a positive fraction. The calculation is presented step-by-step: 

(-144) / 12 / (-5) = -144 / (12 * -5) = -12 / -5 = 2 2/5.

Understanding the division of multiple integers with mixed 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 simplified fraction.

Exposure to multiple worked-out examples is essential for students to fully grasp the concept of dividing multiple 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 and then by a negative integer. Notice how we perform the divisions and how the signs affect our final result. Can you explain why we get a positive fraction as our answer? Let's work through the problem step-by-step and discuss how the signs cancel out. How does this example build on what we've learned from previous examples with mixed numbers?"

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