Problem 75
Question
State the name of the property illustrated. $$6+(-4)=(-4)+6$$
Step-by-Step Solution
Verified Answer
The illustrated property is the Commutative Property of Addition.
1Step 1: Identify the Structure
The first step is to identify the structure of the equation given. We see that there is an operation (addition) and the sequence, or order, of the operands (6 and -4) changes from the left side of the equation to the right.
2Step 2: Match the Property
There are three properties concerning addition and multiplication: the Commutative Property, the Associative Property, and the Distributive Property. In this case, given the changing order of operands while the result remains the same, it matches with the Commutative Property, which states that the order in which operations are performed does not affect the result.
Other exercises in this chapter
Problem 75
Add or subtract terms whenever possible. $$ 4 \sqrt[5]{2}+3 \sqrt[5]{2} $$
View solution Problem 75
Write each number in decimal notation without the use of exponents. $$ -6.00001 \times 10^{10} $$
View solution Problem 76
Factor completely, or state that the polynomial is prime. $$9 x^{3}-9 x$$
View solution Problem 76
perform the indicated operations. Simplify the result, if possible. $$ \left(4-\frac{3}{x+2}\right)\left(1+\frac{5}{x-1}\right) $$
View solution