Which of the following are true statements about the expression 6+(−6)?Choose 2 answers:A The expression describes the number that is 6 to the left of 6 on the number line.B The expression describes the number that is 6 to the right of 6 on the number line.C The expression equals 0 .D The expression equals 12.
Q. Which of the following are true statements about the expression 6+(−6)?Choose 2 answers:A The expression describes the number that is 6 to the left of 6 on the number line.B The expression describes the number that is 6 to the right of 6 on the number line.C The expression equals 0 .D The expression equals 12.
Understand Expression: Understand the expression 6+(−6). The expression 6+(−6) involves adding the number 6 to its additive inverse, which is −6.
Calculate Value: Calculate the value of the expression 6+(−6).6+(−6)=0This is because any number added to its additive inverse equals zero.
Evaluate Statement A: Determine if statement A is true.Statement A says that the expression describes the number that is 6 to the left of 6 on the number line. This would imply that the expression equals 0, which is true. However, the statement is misleading because it suggests a movement on the number line starting from 6 and moving 6 units to the left, which would actually land on 0, not 6. Therefore, statement A is not a correct description of the expression.
Evaluate Statement B: Determine if statement B is true.Statement B says that the expression describes the number that is 6 to the right of 6 on the number line. This is not true because adding −6 would move to the left on the number line, not to the right.
Evaluate Statement C: Determine if statement C is true.Statement C says that the expression equals 0. This is true, as we calculated in Step 2.
Evaluate Statement D: Determine if statement D is true.Statement D says that the expression equals 12. This is not true because 6+(−6) equals 0, not 12.
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