Problem 78
Question
State the name of the property illustrated. $$6 \cdot(2 \cdot 3)=6 \cdot(3 \cdot 2)$$
Step-by-Step Solution
Verified Answer
The property illustrated in the equation is the Associative Property of Multiplication.
1Step 1: Identify the Operation being Performed
The operation being performed in this equation is multiplication.
2Step 2: Understand the Change
In the equation, the only change is the order of the numbers inside the parentheses. In the left side of the equation, 2 is multiplied by 3 first, then multiplied by 6. In the right side of the equation, 3 is multiplied by 2 first, then multiplied by 6.
3Step 3: Identify the Math Property
The property that shows the order doesn't change the outcome in multiplication operation is known as the Associative Property of Multiplication.
Other exercises in this chapter
Problem 78
In Exercises \(75-82,\) add or subtract terms whenever possible. $$3 \sqrt[3]{24}+\sqrt[3]{81}$$
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In Exercises 67–82, find each product. $$(x+y)\left(x^{2}-x y+y^{2}\right)$$
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Factor completely, or state that the polynomial is prime. $$x^{3}+2 x^{2}-4 x-8$$
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Write each number in scientific notation. $$638,000,000,000,000,000$$
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