Math Example--Numerical Expressions--Dividing Integers: Example 24

Topic

Numerical Expressions

Description

This example illustrates the division of three negative integers: (-108) ÷ (-2) ÷ (-7). The solution demonstrates that dividing three negative integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-108) ÷ (-2) ÷ (-7) = -108 / -2 ÷ (-7) = 54 / -7 = -7 5/7.

Understanding the division of multiple negative integers that result in mixed numbers 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 mixed number.

Exposure to multiple worked-out examples is essential for students to fully grasp the concept of dividing multiple negative integers 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 our final example in this collection, where we're dividing three negative integers. Notice how we perform the divisions and how the signs affect our intermediate and final results. Can you explain why we get a negative mixed number as our answer? Let's work through the problem step-by-step and discuss how the signs interact. How does this example tie together what we've learned from all the previous examples in this collection about dividing integers with different sign combinations?"

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