Q. 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)
Understand Given Expression: First, let's understand the given expression −55.7+(−83.8). This is a sum of two negative numbers.
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.So, −55.7+(−83.8)=−(55.7+83.8).
Find Equivalent Expression: Now, let's calculate the sum of the magnitudes: 55.7+83.8. 55.7+83.8=139.5
Find Equivalent Expression: Now, let's calculate the sum of the magnitudes: 55.7+83.8. 55.7+83.8=139.5 Therefore, the original expression −55.7+(−83.8) is equivalent to −139.5.
Find Equivalent Expression: Now, let's calculate the sum of the magnitudes: 55.7+83.8. 55.7+83.8=139.5 Therefore, the original expression −55.7+(−83.8) is equivalent to −139.5. Now, let's examine the options given to find the equivalent expression: −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) would result in subtracting a negative, which is the same as adding a positive, so this is not equivalent. −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) is equivalent to −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.
Find Equivalent Expression: Now, let's calculate the sum of the magnitudes: 55.7+83.8. 55.7+83.8=139.5 Therefore, the original expression −55.7+(−83.8) is equivalent to −139.5. Now, let's examine the options given to find the equivalent expression: −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) would result in subtracting a negative, which is the same as adding a positive, so this is not equivalent. −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) is equivalent to −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) is −55.7−(−83.8).
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