Math Example--Numerical Expressions--Dividing Integers: Example 14

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 ÷ (-6). The solution demonstrates that dividing a positive by a negative results in a negative quotient, which in this case is a mixed number. The calculation is presented as: 14 / -6 = -2 1/3.

Understanding the division of integers with different 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 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 positive integer by a negative integer. Notice how we get a negative mixed number as our result. Can you explain why the answer is negative and how we arrive at -2 1/3? 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.