Question

which of the following represent opposites? select all that apply. a) -1 and 2 b) -20 and 20 c) 11 and -11 d) 10 and 0 e) 6 and -6

Explanation:

To determine if two numbers are opposites, they should be the same distance from zero on the number line and have opposite signs (or one is the negative of the other).

• For option A: \(-1\) and \(2\) are not opposites because \(2\) is not the negative of \(-1\) (the negative of \(-1\) is \(1\), not \(2\)).
• For option B: \(-20\) and \(20\) are opposites because \(20 = -(-20)\) (the negative of \(-20\) is \(20\)).
• For option C: \(11\) and \(-11\) are opposites because \(-11 = -11\) (the negative of \(11\) is \(-11\)).
• For option D: \(10\) and \(0\) are not opposites. The opposite of \(10\) is \(-10\), not \(0\).
• For option E: \(6\) and \(-6\) are opposites because \(-6 = -6\) (the negative of \(6\) is \(-6\)).

Answer:

B. \(-20\) and \(20\), C. \(11\) and \(-11\), E. \(6\) and \(-6\)