Properties of Addition and Integers

This video tutorial covers the addition of integers with common signs, focusing on both positive and negative integers. It explains the concept of absolute value and how it is used to add integers with the same sign. The commutative property of addition is discussed, highlighting its applicability to both positive and negative integers. The tutorial also uses a number line to compare integer values and demonstrates how the sum of two negative integers is less than either integer. The concept of opposites and patterns in integer addition is introduced, and the lesson concludes with a preview of the next topic, which will cover adding integers with different signs.

What happens to the sum when you add two integers with the same positive sign?

• The sum is negative.

• The sum is positive.

• The sum is undefined.

• The sum is zero.

How do you determine the absolute value of an integer?

• By subtracting the integer from zero.

• By adding the integer to itself.

• By measuring the distance from zero on a number line.

• By counting the number of digits.

What is the absolute value of -7?

• 14

• 0

• -7

• 7

When adding two negative integers, what is the sign of the sum?

• Negative

• Positive

• Undefined

• Zero

What does the commutative property of addition state?

• The order of addends affects the sum.

• The sum of two numbers is always positive.

• The order of addends can be changed without affecting the sum.

• The sum of two numbers is always negative.

Which operations does the commutative property apply to?

• Subtraction and division

• Addition and multiplication

• Multiplication and division

• Addition and subtraction

On a number line, what happens to the value of numbers as you move to the right?

• The numbers become negative.

• The numbers remain the same.

• The numbers become greater in value.

• The numbers become less in value.

If you add -5 and -3, where will the sum be located on a number line?

• To the right of -5

• To the left of -5

• To the right of -3

• At zero

What is the result of adding two integers with opposite signs?

• The sum is always zero.

• The sum is always positive.

• The sum is always negative.

• The sum depends on the absolute values of the integers.

Which of the following sums is less than -7?

• -5 + -2

• -3 + -3

• -4 + -4

• -1 + -1