Q. Which expression has the same value as 62.7+(−85.6) ?−62.7−(−85.6)85.6+62.7−85.6−(−62.7)−85.6−62.7
Evaluate Original Expression: Evaluate the original expression 62.7+(−85.6). To add a negative number is the same as subtracting its absolute value. 62.7+(−85.6)=62.7−85.6 Now, subtract 85.6 from 62.7. 62.7−85.6=−22.9
Evaluate First Alternative: Evaluate the first alternative expression −62.7−(−85.6). Subtracting a negative is the same as adding its absolute value. −62.7−(−85.6)=−62.7+85.6 Now, add 85.6 to −62.7. −62.7+85.6=22.9 This result is not equal to −22.9.
Evaluate Second Alternative: Evaluate the second alternative expression 85.6+62.7. Simply add the two positive numbers. 85.6+62.7=148.3 This result is not equal to −22.9.
Evaluate Third Alternative: Evaluate the third alternative expression −85.6−(−62.7). Subtracting a negative is the same as adding its absolute value. −85.6−(−62.7)=−85.6+62.7 Now, add 62.7 to −85.6. −85.6+62.7=−22.9 This result is equal to −22.9.
Evaluate Fourth Alternative: Evaluate the fourth alternative expression −85.6−62.7.Simply add the absolute values of the two negative numbers.−85.6−62.7=−(85.6+62.7)=−148.3This result is not equal to −22.9.
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