using the Associative Property of Addition.
5 answers
The Associative Property of Addition states that the way in which numbers are grouped in an addition problem does not affect the sum. You can regroup the terms in the expression \(3x + (2y + z)\).
Using the Associative Property, you can rewrite it as:
\[ (3x + 2y) + z \]
So the expression \(3x + (2y + z)\) can be rewritten as \((3x + 2y) + z\).
The Associative Property of Multiplication states that the way in which numbers are grouped in a multiplication problem does not affect the product. You can regroup the terms in the expression \(p \cdot (q \cdot r)\).
Using the Associative Property, you can rewrite it as:
\[ (p \cdot q) \cdot r \]
So, the expression \(p \cdot (q \cdot r)\) can be rewritten as \((p \cdot q) \cdot r\).
To simplify the expression \(3x + (x + 2)\) using the Associative Property of Addition, you can rearrange the grouping of the terms.
According to the Associative Property, we can group the terms as follows:
\[ (3x + x) + 2 \]
Now, we can simplify \(3x + x\):
\[ 3x + x = 4x \]
So the expression becomes:
\[ (4x) + 2 \]
Thus, the simplest equivalent form of the expression \(3x + (x + 2)\) is:
\[ 4x + 2 \]
