Q. Which expression is equivalent to 16.8−18.6?Choose 1 answer:(A) 18.6−16.8(B) −18.6+(−16.8)(C) 16.8−(−18.6)(D) 16.8+(−18.6)
Understand the Problem: Understand the problem.We need to find an expression that is equivalent to the subtraction of two numbers, 16.8 and 18.6.
Analyze the Choices: Analyze the given choices.(A) 18.6−16.8 is the reverse subtraction, which will give a positive result.(B) −18.6+(−16.8) is adding two negative numbers, which will result in a more negative number.(C) 16.8−(−18.6) is subtracting a negative number from a positive number, which is the same as adding the absolute values of both numbers.(D) 16.8+(−18.6) is adding a negative number to a positive number, which is the same as subtracting the absolute value of the negative number from the positive number.
Calculate the Expression: Calculate the original expression.16.8−18.6=−1.8This is because when we subtract a larger number from a smaller number, we get a negative result.
Match with Choices: Match the result with the choices.We are looking for an expression that also results in −1.8.(A) 18.6−16.8=1.8 (This is positive, so it's not equivalent.)(B) −18.6+(−16.8)=−35.4 (This is more negative, so it's not equivalent.)(C) 16.8−(−18.6)=16.8+18.6=35.4 (This is positive and larger, so it's not equivalent.)(D) 16.8+(−18.6)=16.8−18.6=−1.8 (This matches our original calculation.)
More problems from Identify equivalent linear expressions I