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Chapter 1: Problem 21

Use the commutative property of multiplication to write an equivalent algebraic expression. $$5(x+3)$$

Short Answer

Expert verified
The equivalent algebraic expression using the commutative property of multiplication is \(5(x+3)\).

Step by step solution

01

Understanding the Commutative Property of Multiplication

The commutative property of multiplication tells us that changing the order of the factors does not change the product. In other words, if we are given the multiplication problem \(a \times b\), it is the same as \(b \times a\). The result would be the same.
02

Applying the Commutative Property

To apply the Commutative Property of Multiplication to the given expression \(5(x+3)\), we should understand that it can be written equivalently as \((x+3)5\). This is possible as the commutative property allows for the order of factors to be changed.
03

Simplifying the Expression

However, in algebra, it's common to put the numeric coefficient before the variable. Therefore, \((x+3)5\) can be rewritten in a more standard form as \(5(x+3)\).

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Most popular questions from this chapter

Identify the terms in each algebraic expression. $$8 a-7 a b-13$$

Simplify each series of additions and subtractions. $$-\frac{1}{2}-\frac{2}{3}-\left(-\frac{1}{3}\right)$$

Simplify each series of additions and subtractions. $$-0.16-5.2-(-0.87)$$

Find the value of each expression. $$\frac{9}{10}-\left(\frac{1}{4}-\frac{7}{10}\right)$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(7-(-2)=5\)
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