Problem 79
Question
State the name of the property illustrated. $$(2+3)+(4+5)=(4+5)+(2+3)$$
Step-by-Step Solution
Verified Answer
The property illustrated is the 'Commutative Property of Addition'.
1Step 1: Understanding the Exercise
The given equation is \((2+3)+(4+5)=(4+5)+(2+3)\). The same numbers are being added on both sides of the equation, but are rearranged differently.
2Step 2: Identifying the Property
Since the numbers are rearranged, but the overall value of the equation stays the same, this illustrates the 'Commutative Property of Addition'. According to this property, the order in which numbers are added does not affect the sum.
Other exercises in this chapter
Problem 79
In Exercises \(75-82,\) add or subtract terms whenever possible. $$\sqrt[3]{54 x y^{3}}-y \sqrt[3]{128 x}$$
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In Exercises 67–82, find each product. $$(3 x+5 y)(3 x-5 y)$$
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Factor completely, or state that the polynomial is prime. $$x^{3}+2 x^{2}-x-2$$
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Write each number in scientific notation. $$579,000,000,000,000,000$$
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