Integer Operations and Chip Models

This video tutorial explains how to use integer chips to understand the relationship between subtraction and addition of integers. It demonstrates that subtracting a positive integer is equivalent to adding a negative integer, and vice versa. The tutorial uses examples with integer chips to visually show these concepts, helping learners grasp the idea that subtraction can be viewed as adding the opposite.

What does a positive chip represent in integer operations?

• Negative one

• Zero

• Positive two

• Positive one

How can subtracting an integer be rephrased in terms of addition?

• Subtracting an integer is the same as subtracting the opposite.

• Subtracting an integer is the same as adding the opposite.

• Subtracting an integer is the same as adding the same integer.

• Subtracting an integer is the same as adding zero.

What is the equivalent addition expression for 6 - 2?

• 6 - 0

• 6 - (-2)

• 6 + (-2)

• 6 + 2

In the example of 6 - 2, how many positive chips are left after simplification?

• Zero positive chips

• Six positive chips

• Four positive chips

• Two positive chips

What is the result of 6 plus negative 2 using integer chips?

• Positive 4

• Positive 2

• Negative 4

• Negative 2

What is the first step when subtracting a negative integer using chips?

• Remove positive chips

• Remove negative chips

• Add zeros

• Add positive chips

In the example of -6 - 2, what do you need to add to the model to proceed?

• Two negative chips

• Two zeros

• Two positive chips

• Four positive chips

What is the equivalent addition expression for -6 - 2?

• -6 + 2

• -6 + (-2)

• -6 + 0

• -6 - (-2)

After simplifying -6 - 2 using integer chips, how many negative chips remain?

• Eight negative chips

• Six negative chips

• Two negative chips

• Four negative chips

What does the example of -6 - 2 demonstrate about subtraction and addition?

• Subtraction is unrelated to addition.

• Subtraction is equivalent to adding the same integer.

• Subtraction is equivalent to adding the opposite.

• Subtraction is always larger than addition.