A communication network around an asteroid field began failing when several relay satellites drifted from their assigned positions. Emek and Tara studied a control display showing the required locations as the rational numbers -1.5, -3/4, 0, and 2.25. They compared the fractions, decimals, and integers to place each relay in the correct order along the orbital number line. Once every satellite matched its assigned position, communication signals passed smoothly across the mission, and contact with every spacecraft was restored.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Change -3/4 into a decimal to compare it with -1.5.
Emek and Tara need to order the relay positions from smallest to largest. Which order is correct for -1.5, -3/4, 0, and 2.25?
-1.5, -3/4, 0, 2.25-3/4, -1.5, 0, 2.250, -3/4, -1.5, 2.25-1.5, 0, -3/4, 2.25Correct! -1.5 is less than -0.75, and both are less than 0 and 2.25.
Compare all values by placing them on the same number line.
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Hint
Find the difference between the final position and the starting position.
The relay at position -1.5 moved to position 2.25. What is the integer part of the move?
Correct! The movement is 2.25 - (-1.5) = 3.75, which is 3 whole units.
Subtract the starting position from the final position to find the distance moved.
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Hint
Convert -3/4 to a decimal and compare the two negative numbers.
The team compared the relay positions -3/4 and -1.5. Which statement is true?
-3/4 is smaller than -1.5-3/4 and -1.5 are equal-3/4 is greater than -1.5-1.5 is greater than 0Correct! -3/4 equals -0.75, which is greater than -1.5.
Remember that for negative numbers, the value closer to zero is greater.
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