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Hermes says the opposite if 9 is 9 since each number is 9 units from zero on the number line. Is Hermes correct? Explain why or why not.

User Kevin McCarpenter
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2 Answers

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Final answer:

Hermes is not correct; the opposite of 9 is -9, as opposites on a number line have the same magnitude but opposite signs.

Step-by-step explanation:

No, Hermes is not correct. When we speak of numbers being positive or negative on a number line, we typically refer to their positions relative to zero. The number 9 is 9 units away from zero on the positive side of the number line. However, the opposite of 9 is not 9; it is actually -9. The opposite of a number refers to its value on the opposite side of the zero point on the number line, reflecting the same magnitude but a different sign.

The rules of mathematics are universal, and understanding the number line is an essential part of arithmetic and number sense. It is important to remember that while both 9 and -9 are indeed 9 units away from zero, they are located in opposite directions on the number line. This concept applies whether you are dealing with basic addition or more complicated mathematical operations; the underlying principles remain the same.

User Luis Lobo Borobia
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16 votes
16 votes

Answer: No

Step-by-step explanation:

9 is not on the opposite side of 0 on the number line compared to 9, since they are the same number.

User James Gentes
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