Exploring Properties of Operations in Course 2

The video tutorial covers the properties of operations, focusing on the commutative and associative properties. It explains how these properties apply to addition and multiplication, providing examples for each. The tutorial also introduces identity properties and discusses why these properties do not apply to subtraction and division. Finally, it demonstrates how to simplify expressions using these properties.

What does the commutative property of addition state?

• a + b = b + a

• a + b = b - a

• a + b + c = c + b + a

• a + b = a + c

Which of the following is an example of the commutative property of multiplication?

• a * b = b / a

• a * b = a * c

• a * b * c = c * b * a

• a * b = b * a

What does the associative property of addition state?

• a + b + c = c + b + a

• (a * b) * c = a * (b * c)

• (a + b) + c = a + (b + c)

• a + b = b + a

Which of the following is an example of the associative property of multiplication?

• (a * b) * c = a * (b * c)

• a * b = b * a

• (a + b) + c = a + (b + c)

• a * b * c = c * b * a

What is the additive identity property?

• a + 0 = a

• a * 1 = a

• a * 0 = 0

• a + 1 = a

What is the multiplicative identity property?

• a + 1 = a

• a * 0 = 0

• a + 0 = a

• a * 1 = a

Which property is shown by the statement 2 * (5 * n) = (2 * 5) * n?

• Additive identity

• Commutative property of multiplication

• Multiplicative property of zero

• Associative property of multiplication

Which property is demonstrated by the statement x + y = y + x?

• Commutative property of addition

• Associative property of addition

• Additive identity

• Multiplicative identity

Why do subtraction and division not follow the commutative property?

• Because they are not real operations

• Because they are distributive

• Because they are associative

• Because changing the order changes the result

In the expression 7 + g + 5, what property is used to switch the 7 and the g?

• Commutative property of addition

• Associative property of addition

• Additive identity

• Multiplicative identity