Question
Use either \( < \) or \( > \) for \( \square \) to write a true statement. \( -\frac{1}{7} \square-\frac{1}{2} \)
Ask by Bartlett Huff. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( -\frac{1}{7} > -\frac{1}{2} \)
Solution
To compare the two numbers, note that:
• -1/7 is approximately -0.142857
• -1/2 is -0.5
Since -0.142857 is greater than -0.5, we have
-1/7 > -1/2
So the correct symbol is ">"
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To create a true statement, we need to compare the two negative fractions: \( -\frac{1}{7} \) and \( -\frac{1}{2} \). Since both fractions are negative, the fraction with the smaller absolute value is actually the larger number. The absolute value of \( -\frac{1}{7} \) is \( \frac{1}{7} \) and the absolute value of \( -\frac{1}{2} \) is \( \frac{1}{2} \). Since \( \frac{1}{7} < \frac{1}{2} \), it follows that \( -\frac{1}{7} > -\frac{1}{2} \). So, the statement would be: \( -\frac{1}{7} > -\frac{1}{2} \).