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 20 Page 479

Changing the order of the terms does not change the sum.

Equivalent: Yes
Property: Commutative Property

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. 46 + 15 and 15 + 46In this case, the terms are being added. The addends 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 expressions are equivalent. We can check our statement by calculating both sums.

46 + 15 ? = 15 + 46
61 = 61 ✓