Math Example--Numerical Expressions--Dividing Integers: Example 4

Topic

Numerical Expressions

Description

This example illustrates the division of two negative integers: -9 divided by -3. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing two negative integers, the quotient is positive. The calculation is presented as (-9) ÷ (-3) = -9 / -3 = 3.

Understanding the division of integers with the same sign 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 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 the same sign. 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 negative number by another negative number. Notice how the sign of our answer is positive. Can you explain why this happens? Let's work through the problem step-by-step and discuss the reasoning behind our positive result. How does this compare to our previous examples with different sign combinations?"

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