Math -6 th Grade 30. A student claims that \( -2.4<-3.9 \), and \( |-3.9|<1-2.4 \). Which statement about the sfudent's cl: is true? A The student's claim is correct because -2.4 has more numerical value and more absolute value than -3.9 B The student's claim is correct because -2.4 has more numerical valua but less absolute value than -3.9 . C The student's claim is incorrect because -2.4 has less numerical value and less absoluto value than -3.9 D The student's claim is incorrect because -2.4 has more numerical value but leas absolute value than -3.9 31. Consider the number line.
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The student's claim involves comparing negative numbers, which can be a bit tricky! When looking at -2.4 and -3.9, -2.4 is indeed greater because it is closer to zero on the number line. So, the first part of the claim is incorrect. As for absolute values, |-3.9| is 3.9, and 1 - 2.4 equals -1.4, making the second part of the claim also incorrect since 3.9 is greater than -1.4. So, none of the options seem to state that both parts of the student's claim are incorrect. When comparing negatives, remember that when numbers are further to the left on the number line, they have a smaller value. That's a classic common mistake!