Which of the following statements uses the commutative property of addition?2 + (3 + 4) = (2 + 3) + 4
2 + (3 + 4) = (2 + 3) + (2 + 4)
2 + (3 + 4) = 2 + (4 + 3)

2 + ( 3 + 4 ) = 2 + ( 4 + 3 ) is the correct statement.

What are laws of numbers ?

There are mainly three types of laws in basic mathematics they are commutative law, associative law and distributive law.

Commutative law states a + b = b + a.

Associative law states a + ( b + c ) = ( a + b ) + c.

Distributive law states  a(b + c) = ab + ac.

According to the given question we have to determine which statement defines commutative law of addition correctly.

We know  a + b = b + a for ∀ a,b ∈ N.

∴ The statement 2 + ( 3 + 4 ) = 2 + ( 4 + 3 ) is the correct statement.

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The correct answer is:

2 + (3 + 4) = 2 + (4 + 3)

Explanation:

The commutative property of addition tells us that the two addends, or numbers being added, can be "flipped around" the addition symbol.  The only problem in which this occurs is 2 + (3 + 4) = 2 + (4 + 3) .