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What property is shown in negative parenthesis negative 38 plus 17 parenthesis equals 38 plus negative 17?
Updated: 4/28/2022
Wiki User
∙ 10y agoBest Answer
-(-38 + 17) = 38 + (-17)
On the left side we read: the opposite of the quantity. Since that quantity contains two terms, it also means the opposite of both terms.
Let me rewrite the left side, such as - {-(38) + [- (-17)]}.
(notice, -38 is the opposite of 38, and -(-17) is the opposite of -17)
Let me distribute the negative sign to both terms of the quantity, -(-38) + {-[- (-17)]}.
So we have an equivalent statement such as
-(-38) + {- [-(-17)]} = 38 + (-17)
As you see, in this new statement we have the opposite of the opposite of a number which would give us back the number itself, and as a result
38 + (-17) = 38 + (-17)
Therefore, the original statement is an identity.
On the left side we read: the opposite of the quantity. Since that quantity contains two terms, it also means the opposite of both terms.
Let me rewrite the left side, such as - {-(38) + [- (-17)]}.
(notice, -38 is the opposite of 38, and -(-17) is the opposite of -17)
Let me distribute the negative sign to both terms of the quantity, -(-38) + {-[- (-17)]}.
So we have an equivalent statement such as
-(-38) + {- [-(-17)]} = 38 + (-17)
As you see, in this new statement we have the opposite of the opposite of a number which would give us back the number itself, and as a result
38 + (-17) = 38 + (-17)
Therefore, the original statement is an identity.
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