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Answer :
To determine which pair of numbers are not opposites, we need to understand that opposite numbers have the same magnitude (absolute value) but different signs.
Let's look at each pair:
1. |7| and -7:
- The absolute value of 7 is 7.
- The numbers 7 and -7 have the same magnitude but different signs, so they are opposites.
2. 17 and |-17|:
- The absolute value of -17 is 17.
- The numbers 17 and 17 do not have different signs (they are both positive), so they are not opposites.
3. 17 and -17:
- These numbers have the same magnitude (17) but different signs (positive and negative), so they are opposites.
4. 71 and -71:
- These numbers have the same magnitude (71) but different signs, so they are opposites.
Therefore, the pair 17 and |-17| are not opposites because they do not have different signs.
Let's look at each pair:
1. |7| and -7:
- The absolute value of 7 is 7.
- The numbers 7 and -7 have the same magnitude but different signs, so they are opposites.
2. 17 and |-17|:
- The absolute value of -17 is 17.
- The numbers 17 and 17 do not have different signs (they are both positive), so they are not opposites.
3. 17 and -17:
- These numbers have the same magnitude (17) but different signs (positive and negative), so they are opposites.
4. 71 and -71:
- These numbers have the same magnitude (71) but different signs, so they are opposites.
Therefore, the pair 17 and |-17| are not opposites because they do not have different signs.
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