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Which expression is equivalent to 
-55.7+(-83.8) ?

-83.8-55.7

-83.8-(-55.7)

-55.7+83.8

-55.7-(-83.8)

Which expression is equivalent to 55.7+(83.8) -55.7+(-83.8) ?\newline83.855.7 -83.8-55.7 \newline83.8(55.7) -83.8-(-55.7) \newline55.7+83.8 -55.7+83.8 \newline55.7(83.8) -55.7-(-83.8)

Full solution

Q. Which expression is equivalent to 55.7+(83.8) -55.7+(-83.8) ?\newline83.855.7 -83.8-55.7 \newline83.8(55.7) -83.8-(-55.7) \newline55.7+83.8 -55.7+83.8 \newline55.7(83.8) -55.7-(-83.8)
  1. Understand Given Expression: First, let's understand the given expression 55.7+(83.8)-55.7 + (-83.8). This is a sum of two negative numbers.
  2. Calculate Magnitudes: When we add two negative numbers, the result is also negative, and the magnitude of the result is the sum of the magnitudes of the two numbers.\newlineSo, 55.7+(83.8)=(55.7+83.8)-55.7 + (-83.8) = -(55.7 + 83.8).
  3. Find Equivalent Expression: Now, let's calculate the sum of the magnitudes: 55.7+83.855.7 + 83.8. \newline55.7+83.8=139.555.7 + 83.8 = 139.5
  4. Find Equivalent Expression: Now, let's calculate the sum of the magnitudes: 55.7+83.855.7 + 83.8. \newline55.7+83.8=139.555.7 + 83.8 = 139.5 Therefore, the original expression 55.7+(83.8)-55.7 + (-83.8) is equivalent to 139.5-139.5.
  5. Find Equivalent Expression: Now, let's calculate the sum of the magnitudes: 55.7+83.855.7 + 83.8. 55.7+83.8=139.555.7 + 83.8 = 139.5 Therefore, the original expression 55.7+(83.8)-55.7 + (-83.8) is equivalent to 139.5-139.5. Now, let's examine the options given to find the equivalent expression: 83.855.7-83.8 - 55.7 would result in a negative number, but it's not the same as adding two negative numbers. 83.8(55.7)-83.8 - (-55.7) would result in subtracting a negative, which is the same as adding a positive, so this is not equivalent. 55.7+83.8-55.7 + 83.8 would result in adding a negative number to a positive number, which is not the case here. 55.7(83.8)-55.7 - (-83.8) is equivalent to 55.7+83.8-55.7 + 83.8, which is the same as subtracting a negative, meaning we add the positive value of that number. This is the correct equivalent expression.
  6. Find Equivalent Expression: Now, let's calculate the sum of the magnitudes: 55.7+83.855.7 + 83.8. 55.7+83.8=139.555.7 + 83.8 = 139.5 Therefore, the original expression 55.7+(83.8)-55.7 + (-83.8) is equivalent to 139.5-139.5. Now, let's examine the options given to find the equivalent expression: 83.855.7-83.8 - 55.7 would result in a negative number, but it's not the same as adding two negative numbers. 83.8(55.7)-83.8 - (-55.7) would result in subtracting a negative, which is the same as adding a positive, so this is not equivalent. 55.7+83.8-55.7 + 83.8 would result in adding a negative number to a positive number, which is not the case here. 55.7(83.8)-55.7 - (-83.8) is equivalent to 55.7+83.8-55.7 + 83.8, which is the same as subtracting a negative, meaning we add the positive value of that number. This is the correct equivalent expression. The correct equivalent expression to 55.7+(83.8)-55.7 + (-83.8) is 55.7(83.8)-55.7 - (-83.8).

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