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Chapter 1: Problem 11

Use the commutative property of addition to write an equivalent algebraic expression. $$4 x+5 y$$

Short Answer

Expert verified
The equivalent algebraic expression to \(4x + 5y\) using the commutative property of addition would therefore be \(5y + 4x\).

Step by step solution

01

Identify the Commutative Property of Addition

By understanding the commutative property of addition, it is known that the locations of the elements may be swapped. This property states that changing the order of the addends does not affect the sum. In terms of algebraic expressions, \(a + b\) is equivalent to \(b + a\).
02

Apply the Commutative Property to the Expression

In this case, apply the commutative property to the algebraic expression \(4x + 5y\) by swapping the positions of \(4x\) and \(5y\).

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