Math Example--Numerical Expressions--Dividing Integers: Example 23

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-150) / (-5) / 4. The solution shows that dividing a negative integer by a negative integer and then by a positive integer results in a positive mixed number quotient. The calculation is presented step-by-step: 

(-150) / (-5) / 4 = -150 / -5 / 4 = 30 / 4 = 7 1/2.

Understanding the division of multiple integers with mixed signs that result in mixed numbers is a crucial 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 mixed number.

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 mixed numbers. Each example reinforces the rules of sign changes in division and the process of expressing remainders as 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 negative integer and then by a positive integer. Notice how we perform the divisions and how the signs affect our intermediate and final results. Can you explain why we get a positive mixed number as our answer? Let's work through the problem step-by-step and discuss how the signs cancel out. How does this example compare to the previous ones we've seen with different sign combinations?"

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