Math Example--Numerical Expressions--Dividing Integers: Example 3

Topic

Numerical Expressions

Description

This example demonstrates the division of a negative integer by a positive integer: -18 divided by 6. The solution shows that when dividing one integer by another, the result is a rational number. In this case, when dividing a negative integer by a positive integer, the quotient is negative. The calculation is presented as (-18) ÷ 6 = -18 / 6 = -3.

Understanding how to divide integers with different signs is a crucial component of working with numerical expressions. This collection of examples helps teach the concept by presenting 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 vital 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: "Let's look at this example where we're dividing a negative number by a positive number. Notice how the sign of our answer is negative. Can you explain why this happens? Let's work through the problem step-by-step and discuss the reasoning behind our result. How does this compare to our previous examples?"

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