Subtracting Integers: Understanding the Difference Definition and its Relation to Distance

This video tutorial teaches how to subtract integers using the difference definition on a number line. It covers the concepts of integers, subtraction, distance, and difference, emphasizing that distance is always positive. The lesson includes examples of subtraction problems, demonstrating both positive and negative differences based on the size of the minuend and subtrahend. The tutorial concludes with a review of key points, highlighting the importance of understanding the relationship between the minuend and subtrahend in determining the difference.

What is an integer?

• A complex number

• A positive or negative whole number, including zero

• A decimal number

• A fraction

How is subtraction defined in relation to addition?

• As a multiplication

• As a division

• As the inverse operation

• As a similar operation

When subtracting 10 and 3, what is the distance between them?

• 3

• 13

• 7

• 10

In the problem 6 minus negative 9, what is the difference?

• Positive 3

• Negative 3

• Positive 15

• Negative 15

What happens to the difference when the minuend is smaller than the subtrahend?

• The difference is positive

• The difference is negative

• The difference is zero

• The difference is undefined