Math Example--Numerical Expressions--Dividing Integers: Example 17

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Understanding the division of multiple positive integers 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 division can lead to whole number quotients, fractions, or mixed numbers.

Exposure to multiple worked-out examples is essential for students to fully grasp the concept of dividing multiple positive integers that result in mixed numbers. Each example reinforces the process of division and 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 positive integers. Notice how we perform the divisions from left to right and how we express the result as a mixed number. Can you explain why we get 2 1/2 as our answer? Let's work through the problem step-by-step and discuss how we handle the remainder. How does this example compare to previous ones where we had negative 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.