Math Example--Numerical Expressions--Dividing Integers: Example 2

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Understanding the division of integers with different signs is a crucial aspect of numerical expressions. This collection of examples helps teach the concept by showcasing various scenarios, allowing students to observe patterns and develop a deeper understanding of how the signs of the dividend and divisor affect the quotient.

Exposure to multiple worked-out examples is essential for students to fully grasp the concept of dividing integers with different signs. Each example reinforces the rules and helps students recognize the patterns in results, building their confidence and ability to solve similar problems independently.

Teacher Script: "Now, let's examine this interesting case where we're dividing a positive number by a negative number. Notice how the sign of our answer changes. Can you explain why this happens? Let's work through the problem step-by-step and discuss the reasoning behind our negative result."

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