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(1)) Xavier climbs 9 feet up into an apple tree. What integer represents the direction and how far he will climb to get back down to the ground? What does the integer 0 represent in this situation? The integer climb down. The integer 0 represents Xavier's

Ask by Burgess Washington. in the United States
Feb 26,2025

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Answer

The integer representing the climb down is -9, and the integer 0 represents Xavier's position at ground level.

Solution

To solve this problem, we need to analyze the situation step by step. 1. **Understanding the Climb Up**: - Xavier climbs 9 feet up into the apple tree. This can be represented by the positive integer \( +9 \). The positive sign indicates that he is moving upwards. 2. **Climbing Down**: - To get back down to the ground, Xavier needs to descend the same distance he climbed. Therefore, the integer that represents the distance he will climb down is \( -9 \). The negative sign indicates a downward movement. 3. **Understanding the Integer 0**: - The integer \( 0 \) represents the ground level in this situation. It indicates that Xavier is at the starting point or the reference point from which he climbed up or down. In summary: - The integer representing the climb down is \( -9 \). - The integer \( 0 \) represents Xavier's position at ground level.

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Beyond the Answer

To climb back down from the apple tree, Xavier will need to descend 9 feet, which can be represented by the integer -9. This negative value conveys the downward movement away from the ground level. The integer 0 in this situation represents ground level—it's the point where Xavier's height becomes neutral, neither above nor below the ground. So if he’s sitting at 9 feet up and drops down to 0, it’s like saying he’s returned to home base!

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