Using Neutral Fields to Calculate with Positive and Negative Integers

The video tutorial explains how to use additive inverses and zero pairs to calculate with positive and negative integers. It introduces the concept of a neutral field, which is a collection of zero pairs that maintain a value of zero. The tutorial demonstrates how to use models to represent integers and how neutral fields can simplify calculations by allowing the separation of zero pairs. Practical examples illustrate how subtracting a negative integer is equivalent to adding its positive counterpart.

What is the sum of a number and its additive inverse?

• Negative of the number

• One

• Zero

• The number itself

In the model used in the lesson, what does a blue plus sign represent?

• A negative one

• A positive one

• Zero

• A neutral field

What is a neutral field?

• A collection of positive numbers

• A collection of negative numbers

• A collection of zero pairs

• A single zero pair

Why is a neutral field useful in calculations?

• It only represents positive integers

• It provides access to positives and negatives with a value of zero

• It changes the value of integers

• It only represents negative integers

What happens when you remove a negative from a zero pair?

• It leaves behind zero

• It leaves behind a negative

• It leaves behind a positive

• It leaves behind a neutral field

How does subtracting a negative integer compare to adding its inverse?

• It results in a smaller number

• It results in a larger number

• It results in zero

• It results in the same number

In the example of 7 take away -3, what is the final result?

• Positive 10

• Zero

• Positive 4

• Negative 10