To determine which number sentence represents the sum or difference shown by the figure, I would need more context about the figure you're referring to. However, I can help you understand the equations given.
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6 + (-10) = -4 and -10 + 6 = -4 – Both equations imply adding 6 to negative 10. They are equivalent due to the commutative property of addition.
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6 – (-16) = -10 – This equation reflects subtracting a negative number, which would actually result in 6 + 16 = 22, so it does not represent the correct operation.
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6 + (-16) = -10 – This equation indicates adding negative 16 to 6, which indeed equals -10.
From the information given, if the figure shows the subtraction of a negative number or addition of a negative number, you would select accordingly.
If you could clarify the figure or the operation it represents, I could assist you better in determining the correct number sentence.