A rescue beacon transmitted location updates as the rational numbers -2.5, -1, 3/4, and 2 along a virtual space number line. Emek and Tara arranged the values in the correct order, compared the distances between the reported positions, and checked which update matched the planned interception point. Their careful reasoning confirmed the safest rescue route through deep space. The rescue spacecraft reached the stranded crew on time, and everyone returned safely to the station.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Convert 3/4 to a decimal and compare all values.
Emek and Tara arranged the beacon locations from smallest to largest. Which order is correct for -2.5, -1, 3/4, and 2?
-2.5, -1, 3/4, 2-1, -2.5, 3/4, 2-2.5, 3/4, -1, 22, 3/4, -1, -2.5Correct! 3/4 equals 0.75, so the values increase as -2.5, -1, 0.75, and 2.
Place the negative numbers first and compare their positions on the number line.
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Hint
Find the distance by subtracting the starting position from the ending position.
The rescue beacon moved from position -2.5 to position 2. What is the integer part of the move?
Correct! The distance is 2 - (-2.5) = 4.5, which contains 4 whole units.
Remember to subtract a negative number by adding its positive value.
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Hint
Compare the distances of each number from zero.
The team checked which position was closest to zero. Which beacon location was closest to zero?
-2.5-13/42Correct! The distance of 3/4 from zero is 0.75, which is the smallest distance.
A number is closer to zero when its absolute value is smaller.
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