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Fill in the blanks so that the equality ...

Fill in the blanks so that the equality holds. Also state the property used in each case.
`4866+___=____________+4866=4866`

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To solve the equation \( 4866 + \_\_\_ = \_\_\_ + 4866 = 4866 \), we need to fill in the blanks with numbers that will keep the equality true. ### Step-by-step Solution: 1. **Identify the required property**: We need to find a number that, when added to 4866, will not change its value. This number is known as the additive identity, which is 0. 2. **Fill in the first blank**: We can write \( 4866 + 0 \). This means we are adding 0 to 4866. According to the additive identity property, adding 0 to any number does not change its value. Therefore, the first blank is filled with 0. 3. **Fill in the second blank**: We can also write \( 0 + 4866 \). Again, according to the additive identity property, adding 0 to 4866 will still result in 4866. Thus, the second blank is also filled with 0. 4. **Final equation**: Now we can write the complete equation as: \[ 4866 + 0 = 0 + 4866 = 4866 \] 5. **State the property used**: The property used in both cases is the **Additive Identity Property**, which states that adding 0 to any number does not change the number. ### Final Answer: The completed equation is: \[ 4866 + 0 = 0 + 4866 = 4866 \] And the property used is the **Additive Identity Property**.
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