Complete the expressions and select the missing property. Write each answer as a number, a variable, or the product of a number and a variable. =u+u+u+u+u =1u+ u+1u+1u+1u Identity property of multiplication =1+1+1+ +1u Commutative property of addition Commutative property of multiplication Associative property of addition Associative property of multiplication Distributive property

Let's complete the expressions and identify the missing property step by step.

1. For $u + u + u + u + u$: $= 5u$

2. For $1u + u + 1u + 1u + 1u$: $= 1u + 1u + 1u + 1u + u = 4u + 1u = 5u$

3. For $1 + 1 + 1 + \_ + 1u$: The missing term must be $1$: $= 1 + 1 + 1 + 1 + 1u = 3 + 1 + 1u = 4 + 1u$

The identified properties are:

• Identity property of multiplication: $1u = u$ (This shows that multiplying by 1 doesn't change the value.)

• Commutative property of addition: This property states that $a + b = b + a$.

• Associative property of addition: This property states that $(a + b) + c = a + (b + c)$.

• Distributive property: This property states that $a(b + c) = ab + ac$.

Summary:

1. $u + u + u + u + u = 5u$
2. $1u + u + 1u + 1u + 1u = 5u$
3. $1 + 1 + 1 + 1 + 1u = 4 + 1u$

Missing Property:

The missing property in this context, as it relates to $1u$, would be the Identity property of multiplication.

Questions:

1. Can you explain how the identity property works in different contexts?
2. What is the significance of the commutative property in real-world applications?
3. How do the associative properties differ between addition and multiplication?
4. Can you provide an example of the distributive property with numbers?
5. How can we visualize these properties using diagrams or models?

Tip:

To better understand these properties, try creating examples using different numbers and variables to see how they apply in various mathematical operations.