To determine which of the options correctly shows a rational number plotted on a number line, let's analyze each one.
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First option:
- The number line goes from negative 20 to negative 10. The value \(-\frac{39}{2}\) is \(-19.5\), which is indeed plotted to the right of \(-20\), so this is correct.
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Second option:
- The number line goes from negative 10 to positive 4. The value of \(-6.5\) is correctly plotted halfway between \(-6\) and \(-7\), not between \(-6\) and \(-4\) (which would place it incorrectly). Therefore, this is incorrect.
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Third option:
- The number line goes from negative 6 to positive 2. The value \(-\frac{1}{2}\) (which is -0.5) is plotted 1 space to the right of 0, which is also incorrect, as it should be to the left of 0. Thus, this is incorrect.
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Fourth option:
- The number line goes from negative 5 to positive 3. The value \(-2.5\) is plotted halfway between \(-2\) and \(-3\), which is correct.
Based on this analysis, the first and fourth options are correct; however, the first option does not have any errors. So, both options 1 and 4 show rational numbers plotted correctly, data from which cannot solely ascertain one correct answer provided.
Since this is often a straightforward task, can conclude:
- The first option is correct for \(-\frac{39}{2}\) plotted as \(-19.5\) correct on that number line range.
- The fourth option is also correct for where \(-2.5\) is half between \(-2\) and \(-3\).
Based on your question scenario, if you need to pick one correct representation, consider the first option.
1 answer