Which expression is equivalent to -3(1)/(8)-2(1)/(2) ? Choose 1 answer: (A) 3(1)/(8)-2(1)/(2) (B) 2(1)/(2)-3(1)/(8) (c) 2(1)/(2)-(-3(1)/(8)) (D) -3(1)/(8)+(-2(1)/(2))

Question

Which expression is equivalent to  -3(1)/(8)-2(1)/(2) ? Choose 1 answer: (A)  3(1)/(8)-2(1)/(2) (B)  2(1)/(2)-3(1)/(8) (c)  2(1)/(2)-(-3(1)/(8)) (D)  -3(1)/(8)+(-2(1)/(2))

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Understand the problem: Understand the problem. We need to find the expression that is equivalent to the given expression -3(1)/(8)-2(1)/(2).Analyze the answer choices: Analyze the answer choices. (A) 3(1)/(8)-2(1)/(2) changes the sign of the first term. (B) 2(1)/(2)-3(1)/(8) changes the order and the signs of the terms. (C) 2(1)/(2)-(-3(1)/(8)) changes the order of the terms and adds a negative sign in front of the second term. (D) -3(1)/(8)+(-2(1)/(2)) keeps the first term the same and adds a negative sign in front of the second term.Compare with original expression: Compare the original expression with the answer choices. The original expression is -3(1)/(8)-2(1)/(2). We need to find an equivalent expression, which means the mathematical value should remain unchanged.Evaluate each answer choice: Evaluate each answer choice. (A) 3(1)/(8)-2(1)/(2) is not equivalent because the sign of the first term is different from the original expression. (B) 2(1)/(2)-3(1)/(8) is not equivalent because the order of the terms is reversed, which changes the subtraction to addition for the first term. (C) 2(1)/(2)-(-3(1)/(8)) is not equivalent because the order of the terms is reversed, and the negative sign in front of the second term changes the operation from subtraction to addition. (D) -3(1)/(8)+(-2(1)/(2)) is equivalent because it keeps the first term the same and the addition of a negative is the same as subtraction, so the mathematical value is unchanged.Choose the correct answer: Choose the correct answer. The correct answer is (D) -3(1)/(8)+(-2(1)/(2)) because it is the only choice that maintains the mathematical value of the original expression.

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