Question

Which of the following is a property that can be used to justify the following step?

1. 3=3.
2. 3+2=3+2.
3. 5=5.

Answer 1

The property justifying the mathematical steps of switching addends while maintaining equality is the Commutative Property of Addition.

Step-by-step explanation:

The property that can be used to justify the step 1. 3=3, 2. 3+2=3+2, 3. 5=5 is the Commutative Property of Addition, which states that A+B=B+A. In mathematics, this means the order in which you add two numbers does not affect the sum. The given examples demonstrate this property by showing that switching the order of the addends results in the same sum. As additional information, when two positive numbers multiply, the answer has a positive sign, and similar multiplication rules apply to divisions and scenarios involving negative numbers.