Math Example--Numerical Expressions--Dividing Integers: Example 18

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Understanding the division of multiple integers with mixed signs 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 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 three integers, with a negative number at the end. Notice how we perform the divisions from left to right and how the negative number affects our final result. 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 we handle the sign change and the remainder. How does this example build on what we've learned from previous examples?"

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