Near a moon base, Nova, Luna, and Emek searched for a supply capsule drifting past platforms marked with integers. Two sensors disagreed: one reported the capsule at -13, while another reported 13. Both positions were 13 units from the central platform at 0, so distance alone could not identify the correct reading. Luna checked an earlier reliable report showing the capsule at -8. Emek remembered that the capsule had been moving toward smaller integers, away from zero on the negative side. If that direction continued, -13 made sense, but 13 would require the capsule to pass through zero and reverse the pattern of its readings. Nova sent the recovery craft toward platform -13. A final sensor detected the capsule at -15, confirming their reasoning, and the team recovered the supplies safely.

Challenges

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Challenge 1 of 5

Challenges

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Challenge 1 of 4
Hint
Think about the number of units between each position and 0, regardless of direction.
One sensor reported -13 and another reported 13. Which statement best explains why the team could not decide which reading was correct using distance from 0 alone?
-13 is farther from 0 because it is negative13 is farther from 0 because it is positive-13 and 13 are both 13 units from 0-13 and 13 are on the same side of 0
Correct. The two positions are on opposite sides of 0 but are the same distance from 0.
Not quite. Separate a number's direction from its distance to 0.
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Hint
Count the number of spaces between -8 and -15 on the number line.
The earlier reliable reading placed the capsule at -8, and the final sensor detected it at -15. How many position units did the capsule move if it traveled directly from -8 to -15?
Correct. The positions -8 and -15 are 7 units apart.
Check the distance between -8 and -15. Distance is always counted as a nonnegative number of units.
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Hint
Use both the earlier position -8 and the stated direction toward smaller integers.
Suppose a student says, "The reading 13 was more likely than -13 because 13 is greater than -8." Which response best identifies the student's mistake using the capsule's direction of motion?
The student is correct because greater integers are always reached next.The student should choose 13 because positive positions are closer to the station.The student should choose -13 only because negative numbers are always farther from 0.The student ignored that the capsule was moving toward smaller integers, so a position smaller than -8 fits the motion.
Correct. Since the capsule was moving toward smaller integers, -13 is consistent with its direction of motion.
Not quite. Compare -13 and 13 with -8, and use the fact that the capsule was moving toward smaller integers.
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Kayıp İkmal Kapsülü
TR
ARC_G06_NUM_02_STORY_03
Kayıp İkmal Kapsülü
The Lost Supply Capsule
EN
ARC_G06_NUM_02_STORY_03
The Lost Supply Capsule