Error Analysis Chelsea needed to compare the absolute values of -13.5 and -12.4 She incorrectly said that the absolute value of -13.5 is less than the absolute value of -124 How do you know that \( |-135|>|-124| \) ? What mistake might Chelsea have made? How do you know that \( |-135|>|-124| \) ? A. The number -135 is located to the left of -124 on a number line. B. The distance from -135 to zero is less than the distance from -124 to zero C. The distance from -135 to zero is greater than the distance from -124 to zero. D. The number -135 is located to the right of -124 on a number line. Help me solve this View an example Get more help - Review Progress Westion 4
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To understand Chelsea's mistake, it’s essential to grasp how absolute values work. Absolute value measures the distance of a number from zero without considering its sign. So, the absolute values are calculated as follows: \( |-13.5| = 13.5 \) and \( |-12.4| = 12.4 \). This clearly shows that 13.5 is greater than 12.4. Chelsea might have confused the signs or miscalculated the absolute values due to the negative signs or perhaps transposing the digits accidentally. In her confusion, she likely compared the wrong values, leading to an incorrect conclusion about their absolute values. The correct answer to your question is C: The distance from -135 to zero is greater than the distance from -124 to zero. This confirms that \( |-135| > |-124| \).