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Which expression is equivalent to 
-3.7-54.7 ?

54.7-(-3.7)

-54.7+3.7

3.7+(-54.7)

-3.7+(-54.7)

Which expression is equivalent to 3.754.7 -3.7-54.7 ?\newline54.7(3.7) 54.7-(-3.7) \newline54.7+3.7 -54.7+3.7 \newline3.7+(54.7) 3.7+(-54.7) \newline3.7+(54.7) -3.7+(-54.7)

Full solution

Q. Which expression is equivalent to 3.754.7 -3.7-54.7 ?\newline54.7(3.7) 54.7-(-3.7) \newline54.7+3.7 -54.7+3.7 \newline3.7+(54.7) 3.7+(-54.7) \newline3.7+(54.7) -3.7+(-54.7)
  1. Understand the problem: Understand the problem.\newlineWe need to find the expression that is equivalent to the subtraction of 3.7-3.7 from 54.7-54.7.
  2. Analyze given expressions: Analyze the given expressions to see which one is equivalent to 3.754.7-3.7 - 54.7. We will compare each expression with 3.754.7-3.7 - 54.7 to find the equivalent one.
  3. Evaluate first expression: Evaluate the first expression 54.7(3.7)54.7 - (-3.7). Subtracting a negative is the same as adding a positive, so this is equivalent to 54.7+3.754.7 + 3.7.
  4. Calculate 54.7+3.754.7 + 3.7: Calculate 54.7+3.754.7 + 3.7.54.7+3.7=58.454.7 + 3.7 = 58.4 This is not equivalent to 3.754.7-3.7 - 54.7 because the signs are different and the result is positive.
  5. Evaluate second expression: Evaluate the second expression 54.7+3.7-54.7 + 3.7. This is subtracting a smaller positive number from a larger negative number.
  6. Calculate 54.7+3.7-54.7 + 3.7: Calculate 54.7+3.7-54.7 + 3.7.\newline54.7+3.7=51.0-54.7 + 3.7 = -51.0\newlineThis is not equivalent to 3.754.7-3.7 - 54.7 because the order of subtraction matters, and this result is not the same as subtracting 3.7-3.7 from 54.7-54.7.
  7. Evaluate third expression: Evaluate the third expression 3.7+(54.7)3.7 + (-54.7). This is adding a negative number to a positive number, which is the same as subtracting the positive value of the negative number from the positive number.
  8. Calculate 3.7+(54.7)3.7 + (-54.7): Calculate 3.7+(54.7)3.7 + (-54.7).\newline3.7+(54.7)=3.754.7=51.03.7 + (-54.7) = 3.7 - 54.7 = -51.0\newlineThis is not equivalent to 3.754.7-3.7 - 54.7 because the result is not the same as subtracting 3.7-3.7 from 54.7-54.7.
  9. Evaluate fourth expression: Evaluate the fourth expression 3.7+(54.7)-3.7 + (-54.7). This is adding two negative numbers together.
  10. Calculate 3.7+(54.7)-3.7 + (-54.7): Calculate 3.7+(54.7)-3.7 + (-54.7).\newline3.7+(54.7)=(3.7+54.7)=58.4-3.7 + (-54.7) = -(3.7 + 54.7) = -58.4\newlineThis is equivalent to 3.754.7-3.7 - 54.7 because adding two negative numbers is the same as subtracting the second number from the first when both are negative.

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