Associative Property of Addition

The video tutorial explains the associative property of addition using the problem 1 + (2 + 4) = (1 + 2) + 4. It demonstrates that the sum remains the same regardless of how the numbers are grouped. The tutorial walks through the order of operations, showing that both sides of the equation simplify to 7, illustrating the property. It concludes with a general formulation of the associative property using variables.

What mathematical property is demonstrated by the problem 1 + (2 + 4) = (1 + 2) + 4?

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

In the equation 1 + (2 + 4) = (1 + 2) + 4, how are the addends grouped on the left side?

• 1 + 2 + 4

• 2 + 4

• 1 + 2

• 1 + 4

What does the associative property of addition state?

• The sum of numbers is always even.

• The sum of numbers is always positive.

• The grouping of numbers does not affect the sum.

• The order of numbers does not affect the sum.

What is the result of simplifying the left side of the equation 1 + (2 + 4)?

• 7

• 6

• 5

• 8

What is the result of simplifying the right side of the equation (1 + 2) + 4?

• 8

• 7

• 6

• 5

What is the final sum on both sides of the equation 1 + (2 + 4) = (1 + 2) + 4?

• 6

• 7

• 5

• 8

Which of the following is a correct representation of the associative property of addition?

• a + b = b + a

• a + (b + c) = (a + b) + c

• a + 0 = a

• a * (b + c) = a * b + a * c

If a = 3, b = 4, and c = 5, what is the result of a + (b + c) using the associative property?

• 12

• 9

• 11

• 10

Which property allows us to change the grouping of addends without changing the sum?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

What is the simplified form of (3 + 5) + 2 using the associative property?

• 5 + (3 + 2)

• 3 + (5 + 2)

• 2 + (3 + 5)

• 3 + (2 + 5)