Question
Which property of addition is shown? \[ 8=8+0 \] associative commutative identity
Ask by Bright Phillips. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The property shown is the **identity property** of addition.
Solution
The equation \( 8 = 8 + 0 \) illustrates the **identity property** of addition.
**Explanation:**
- **Additive Identity Property:** This property states that adding zero to any number does not change its value. In other words, \( a + 0 = a \). In the given equation, adding 0 to 8 results in 8, which clearly demonstrates this property.
- **Commutative Property:** This property involves changing the order of the addends, such as \( a + b = b + a \). The given equation does not involve changing the order of the numbers.
- **Associative Property:** This property involves regrouping the addends, such as \( (a + b) + c = a + (b + c) \). The given equation does not involve regrouping.
**Therefore, the property shown in \( 8 = 8 + 0 \) is the **identity property** of addition.**
**Answer:** Identity property
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Simplify this solution Extra Insights
This equation illustrates the identity property of addition, which states that adding zero to any number does not change its value. In this case, adding zero to 8 results in 8, showcasing that the identity element for addition is indeed zero. For those looking to grasp these properties better, visual aids such as number lines can be a great tool! You can plot 8 and demonstrate that when you add zero, you remain at the same point. This simple visual representation can help reinforce the concept of the identity property in a fun and engaging way!
