Which of these are a correct application of the Inverse Property of Addition? Select all correct answers. Select all that apply: $$ \square 34-34=0 $$ $$ \square $$ $$ 34+0=34 $$ $$ \square $$ $$ -34+34=0 $$ $$ 0+34=34 $$ $$ \square 3 imes 0=0 $$

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Which of these are a correct application of the Inverse Property of Addition? Select all correct answers. Select all that apply: $$ \square 34-34=0 $$ $$ \square $$ $$ 34+0=34 $$ $$ \square $$ $$ -34+34=0 $$ $$ 0+34=34 $$ $$ \square 3 	imes 0=0 $$

UpStudy AI · Accepted Answer

To determine which statements correctly apply the Inverse Property of Addition, we need to understand what this property states. The Inverse Property of Addition states that for any number $$ a $$, there exists an additive inverse (or opposite) $$ -a $$ such that:

$$
a + (-a) = 0
$$

Now, let's analyze each statement:

1. **$$ 34 - 34 = 0 $$**: This is correct because subtracting a number from itself results in zero. However, it is not explicitly showing the additive inverse in the form $$ a + (-a) $$.

2. **$$ 34 + 0 = 34 $$**: This is correct but does not demonstrate the Inverse Property of Addition. It shows the Identity Property of Addition instead.

3. **$$ -34 + 34 = 0 $$**: This is correct and demonstrates the Inverse Property of Addition, as it shows that $$ 34 + (-34) = 0 $$.

4. **$$ 0 + 34 = 34 $$**: This is correct but, like the second statement, it demonstrates the Identity Property of Addition.

5. **$$ 3 \times 0 = 0 $$**: This is not related to the Inverse Property of Addition; it demonstrates the property of multiplication.

Based on this analysis, the correct applications of the Inverse Property of Addition are:

- $$ -34 + 34 = 0 $$

Thus, the only correct answer is:

- $$ -34 + 34 = 0 $$
The correct application of the Inverse Property of Addition is $$ -34 + 34 = 0 $$.

Which of these are a correct application of the Inverse Property of Addition? Select all correct answers. Select all that apply: \( \square 34-34=0 \) \( \square \) \( 34+0=34 \) \( \square \) \( -34+34=0 \) \( 0+34=34 \) \( \square 3 \times 0=0 \)

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