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Which expression is equivalent to 
-61.6+12.2?

-12.2+(-61.6)

-61.6+(-12.2)

12.2-(-61.6)

12.2-61.6

Which expression is equivalent to 61.6+12.2? -61.6+12.2 ? \newline12.2+(61.6) -12.2+(-61.6) \newline61.6+(12.2) -61.6+(-12.2) \newline12.2(61.6) 12.2-(-61.6) \newline12.261.6 12.2-61.6

Full solution

Q. Which expression is equivalent to 61.6+12.2? -61.6+12.2 ? \newline12.2+(61.6) -12.2+(-61.6) \newline61.6+(12.2) -61.6+(-12.2) \newline12.2(61.6) 12.2-(-61.6) \newline12.261.6 12.2-61.6
  1. Understand Addition Properties: Understand the properties of addition. Adding a negative number is the same as subtracting its absolute value, and subtracting a negative number is the same as adding its absolute value. This is due to the fact that subtraction is the addition of the additive inverse.
  2. Compare Given Expressions: Compare the given expressions to the original expression 61.6+12.2-61.6+12.2.\newlineWe need to determine which of the given expressions is equivalent to the original expression by applying the properties of addition.
  3. Analyze First Expression: Analyze the first expression 12.2+(61.6)-12.2+(-61.6). This expression is adding the negative of 12.212.2 to the negative of 61.661.6. This is equivalent to 12.261.6-12.2-61.6, which is not the same as the original expression 61.6+12.2-61.6+12.2.
  4. Analyze Second Expression: Analyze the second expression 61.6+(12.2)-61.6+(-12.2). This expression is adding the negative of 12.212.2 to 61.6-61.6, which is the same as subtracting 12.212.2 from 61.6-61.6. This is equivalent to the original expression 61.6+12.2-61.6+12.2.
  5. Analyze Third Expression: Analyze the third expression 12.2(61.6)12.2-(-61.6). This expression is subtracting the negative of 61.661.6 from 12.212.2, which is the same as adding 61.661.6 to 12.212.2. This is not the same as the original expression 61.6+12.2-61.6+12.2.
  6. Analyze Fourth Expression: Analyze the fourth expression 12.261.612.2-61.6. This expression is subtracting 61.661.6 from 12.212.2, which is not the same as the original expression 61.6+12.2-61.6+12.2.
  7. Conclude Equivalent Expression: Conclude which expression is equivalent.\newlineBased on the analysis, the expression that is equivalent to the original expression 61.6+12.2-61.6+12.2 is 61.6+(12.2)-61.6+(-12.2).

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