Associative Properties

What is the associative property of addition?

• Changing the order of numbers being added changes the sum.

• The sum of numbers being added is always the same.

• The associative property only applies to subtraction.

• Changing the grouping of numbers being added does not change the sum.

Write an expression using the associative property of addition with numbers: 2, 3, and 4.

• (2 + 4) + 3 = 2 + (4 + 3)

• (2 + 3) + 4 = 2 + (3 + 4)

• (3 + 4) + 2 = 3 + (4 + 2)

• (4 + 2) + 3 = 4 + (2 + 3)

How does the associative property of addition help in simplifying calculations?

• By multiplying numbers instead of adding them

• By rearranging the order of numbers being added

• By subtracting numbers instead of adding them

• By regrouping numbers being added together without changing the sum.

If a + (b + c) = (a + b) + c, which property is being illustrated?

• Distributive Property of Addition

• Identity Property of Addition

• Commutative Property of Addition

• Associative Property of Addition

Expand the expression (5 + 6) + 7 using the associative property of addition.

• 20

• 18

• 19

• 16

Explain the difference between the commutative and associative properties of addition.

• Commutative property deals with changing the grouping of addends, while associative property deals with changing the order of addends.

• Commutative property deals with changing the order of addends, while associative property deals with changing the grouping of addends.

• Commutative property changes the value of addends, while associative property changes the order of addends.

• Commutative property involves multiplication, while associative property involves division.

What is the result of (8 + 3) + 2 according to the associative property of addition?

• 10

• 5

• 13

• 15

Write an expression using the associative property of addition with variables: x, y, and z.

• x + (y + z)

• x + y + z

• y + (x + z)

• (x + y) + z

Why is the associative property important in mathematics?

• The associative property is important in mathematics because it allows for simplification of calculations and provides a foundational concept for algebraic manipulations.

• The associative property is important in mathematics because it leads to incorrect results

• The associative property is important in mathematics because it is only applicable to addition and subtraction

• The associative property is important in mathematics because it helps in memorizing formulas

If (m + n) + p = m + (n + p), what property is being demonstrated?

• Identity Property of Addition

• Associative Property of Addition

• Commutative Property of Addition

• Distributive Property of Addition