Integer Addition and Properties

This lesson covers adding integers with different signs using a number line. It explains how to use arrows to represent positive and negative integers and demonstrates the commutative property of addition. Various examples illustrate how to add integers with different signs, showing how arrows cancel each other out to find the sum. The lesson concludes with a reminder of the commutative property and a preview of the next topic.

What is the commutative property of addition?

• It allows us to multiply numbers in any order and get the same difference.

• It allows us to add numbers in any order and get the same sum.

• It allows us to subtract numbers in any order and get the same result.

• It allows us to divide numbers in any order and get the same quotient.

When adding a positive and a negative integer on a number line, what happens to the arrows?

• They both point in the same direction.

• They both point to the right.

• One arrow cancels out part of the other.

• They both point to the left.

If you have a negative five and add a positive two, where do you end up on the number line?

• At zero

• At negative three

• At positive three

• At positive five

What is the result of adding a positive four and a negative four?

• Positive four

• Negative four

• Zero

• Positive eight

Which operations does the commutative property apply to?

• Addition and multiplication

• Subtraction and division

• Addition and subtraction

• Multiplication and division

What happens when you add integers with like signs?

• The arrows cancel each other out.

• The arrows point in the same direction.

• The arrows point in opposite directions.

• The arrows do not appear on the number line.

What is the absolute value of a number?

• The number's distance from zero

• The number's distance from negative one

• The number's distance from one

• The number's distance from ten

If you start at zero and add a positive one and a negative two, where do you end up?

• At positive two

• At zero

• At negative one

• At positive one

What is the result of adding negative eight and positive three?

• Positive eleven

• Negative eleven

• Positive five

• Negative five

What is the result of adding four and negative one?

• Positive three

• Positive five

• Negative three

• Zero