At a space research zone, tracking platforms were marked with integer positions above and below the central station at 0. A fast meteor triggered sensors at platforms 7, -4, -11, and 2, but the readings arrived out of order. Luna, Emek, and Nova needed to reconstruct its path before aiming the observation system. Luna arranged the positions from least to greatest: -11, -4, 2, 7. Emek noticed that the meteor had moved 7 position units from -11 to -4, then 6 units from -4 to 2, and finally 5 units from 2 to 7. Nova used the ordered readings to predict that the meteor was continuing toward greater positions. The team aimed the station's telescope in that direction, and moments later the meteor appeared exactly where they expected.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Compare the number of position units between each pair.
The meteor triggered sensors at -11, -4, 2, and 7. Which pair of sensor positions are closest together on the number line?
-11 and -4-4 and 22 and 7-11 and 7Correct. The distance from 2 to 7 is 5 units, which is the smallest of these distances.
Not quite. Find the distance between the two positions in each choice and compare the results.
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Hint
Add the distances from -11 to -4, from -4 to 2, and from 2 to 7.
Starting at the first ordered reading, -11, the meteor reached the final reading at 7 by moving through -4 and 2. How many position units did it travel altogether along this path?
Correct. The meteor traveled 7 + 6 + 5 = 18 position units altogether.
Check each part of the path separately, then add the three distances.
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Hint
Compare -7 with the two negative positions already in the list.
A new sensor reading of -7 arrives. Where should Luna place -7 in the ordered list -11, -4, 2, 7?
Before -11Between -4 and 2Between 2 and 7Between -11 and -4Correct. Since -11 < -7 < -4, the new reading belongs between -11 and -4.
Not quite. On a number line, -7 is greater than -11 but less than -4.
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