Ordering Negative Fractions and Mixed Numbers Using Inequality Symbols
To compare two negative fractions (or a negative fraction and a negative integer), locate both values on a number line and determine which lies farther to the right. The number farther right is the greater one. For example, using the number line below:
- because is to the right of . Although is a smaller magnitude than , being closer to zero makes it the larger (less negative) value.
- because is to the left of . The mixed number lies farther from zero than , making it the smaller value.
- because is to the left of . Both fractions lie between and , but is farther from zero.
- because is to the right of . Since , it lies farther left than .
A key insight when ordering negative numbers: the value with the smaller absolute value (closer to zero) is actually the greater number. This reversal from the positive-number pattern is a common source of confusion.
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Ordering Negative Fractions and Mixed Numbers Using Inequality Symbols
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