Properties of Addition

The video tutorial explains four properties of real numbers: commutative, associative, identity, and inverse properties of addition. It provides definitions and examples for each property, demonstrating how they apply to real numbers. The commutative property involves changing the order of numbers, the associative property involves changing grouping symbols, the identity property involves adding zero, and the inverse property involves adding opposites. The tutorial concludes with examples illustrating each property.

Which property of addition states that changing the order of the numbers does not change the sum?

• Associative Property

• Commutative Property

• Identity Property

• Inverse Property

What is the result of applying the associative property to the expression (a + b) + c?

• a + b + c

• c + (a + b)

• b + (a + c)

• a + (b + c)

Which property of addition involves changing the grouping of numbers using parentheses?

• Associative Property

• Identity Property

• Inverse Property

• Commutative Property

What is the identity element for addition?

• 0

• -a

• a

• 1

Which property of addition is demonstrated by the equation a + 0 = a?

• Commutative Property

• Associative Property

• Inverse Property

• Identity Property

What is the result when a number is added to its additive inverse?

• The number itself

• Negative of the number

• One

• Zero

Which property of addition is shown by the equation a + (-a) = 0?

• Commutative Property

• Inverse Property

• Associative Property

• Identity Property

If 4 + 8 = 8 + 4, which property of addition is being used?

• Inverse Property

• Identity Property

• Commutative Property

• Associative Property

In the expression 4 + (8 + 7) = (4 + 8) + 7, which property is illustrated?

• Inverse Property

• Associative Property

• Identity Property

• Commutative Property

Which property is used when zero is added to a number and the number remains unchanged?

• Commutative Property

• Associative Property

• Identity Property

• Inverse Property