Question

Which algebraic property is used to rewrite (3 + m) + y as 3 + (m + y)? Distributive property Commutative property Associative property of multiplication Associative property of addition

Answer 1

When you change the GROUPING of the terms it is the associative property.
Since we are adding these terms it is the Associative Property of Addition.

Answer 2

The given expression is the associative property of addition. Option D is correct.

What is an associative property?

Rearranging the parenthesis in an expression will not change the outcome since some binary operations in mathematics have the associative feature.

The expression is  (3 + m) + y = 3 + (m + y).

The solution for both the expression will be the same according to the associative property of addition.

Let m = 2 and y = 4

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

( 5 ) + 4 = 3 + ( 6 )

9 = 9

Therefore, the given expression is the associative property of addition. Option D is correct.

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