Match each expression in Column I with its equivalent in Column II. See Example 3. I II. a. 6° A. 0 b. -6° B. 1 c. (-6)° C. -1 d. -(-6)° D. 6 E. -6

Verified step by step guidance

1. Step 1: Understand that the expressions in Column I are angles given in degrees, and the task is to match each angle with its equivalent value in Column II, which appear to be numbers representing those angles or their negations.
2. Step 2: Recognize that the notation '-(-6)°' means the negative of negative 6 degrees, which simplifies to positive 6 degrees. So, '-(-6)°' is equivalent to '6°'.
3. Step 3: Match each angle in Column I with the corresponding number in Column II by comparing their values directly: '6°' corresponds to '6', '-6°' corresponds to '-6', and so on.
4. Step 4: Note that the expressions '6°' and '-(-6)°' both simplify to 6, so both should match with the number '6' in Column II.
5. Step 5: Confirm that the negative angles '-6°' and '(-6)°' both represent -6 degrees, so they match with '-6' in Column II. The numbers 0, 1, and -1 do not correspond to any of the given angles.

Key Concepts

Understanding Angle Measures and Notation

Angles are measured in degrees, and the notation '°' denotes degrees. Positive angles typically represent counterclockwise rotation, while negative angles indicate clockwise rotation. Recognizing that expressions like '-(-6)°' simplify by removing double negatives is essential for matching equivalent values.

Simplification of Algebraic Expressions with Negative Signs

Simplifying expressions involving negative signs requires applying rules such as the double negative rule, where two negatives make a positive. For example, '-(-6)' simplifies to '6'. This concept helps in correctly identifying equivalent expressions in trigonometry problems.

Matching Equivalent Numerical Values

Matching expressions involves recognizing that different notations or forms can represent the same numerical value. For instance, '6°' and '6' represent the same angle measure, while '(-6)°' and '-6' are equivalent. Understanding this equivalence is key to correctly pairing items from two columns.