Glencoe Math: Course 1, Volume 2
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Glencoe Math: Course 1, Volume 2 View details
5. Algebra: Properties
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Exercise 19 Page 479

The Commutative Property does not hold for division.

No, see solution.

Practice makes perfect

We are given two expressions and we want to determine whether they are equivalent. We should first identify the operation being performed. 8÷ 2 and 2÷ 8In this case, the terms are being divided. The terms are the same, but they are in different order. Let's consider the Commutative Property.

Commutative Property

The order in which two numbers are added or multiplied does not change their sum or product.

According to the Commutative Property the order does not matter when we add or multiply expressions. We are dividing the terms. This means that we cannot use the Commutative Property. The expressions are not equivalent. We can check our statement by simplifying both expressions.

8÷ 2 ? = 2 ÷ 8
4 ≠ 1/4 *