Problem 77
Question
State the name of the property illustrated. $$6+(2+7)=(6+2)+7$$
Step-by-Step Solution
Verified Answer
The property illustrated is the Associative Property of Addition.
1Step 1: Understand the Equation
The problem presents us an equation where on both sides we have an addition operation, but arranged differently. On the left side, 2 and 7 are added first, then 6 is added to their sum. On the right side, 6 and 2 are added first, and then 7 is added to their sum.
2Step 2: Identify the Addition Property
This equation demonstrates that regardless of how numbers are grouped in an addition operation (how the parentheses are placed), the result will be the same. This is known as the Associative Property of Addition.
Other exercises in this chapter
Problem 77
Add or subtract terms whenever possible. $$ 5 \sqrt[3]{16}+\sqrt[3]{54} $$
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Write each number in scientific notation. $$ 32,000 $$
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Factor completely, or state that the polynomial is prime. $$x^{2}+36$$
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perform the indicated operations. Simplify the result, if possible. $$ \frac{y^{-1}-(y+2)^{-1}}{2} $$
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