While guiding a survey spacecraft through a crowded orbital corridor, Emek and Tara monitored a digital number line showing waypoint coordinates. The next checkpoints were labeled -2, -0.5, 1/4, and 1.8. Before activating the autopilot, they carefully placed each value in its correct position on the number line, comparing the fractions, decimals, and integers. The correctly ordered waypoints produced a safe flight path, allowing the spacecraft to avoid nearby satellites and reach its destination without incident.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Convert fractions and decimals to comparable forms if needed.
Emek and Tara need to place the waypoint coordinates -2, -0.5, 1/4, and 1.8 from smallest to largest on the number line. Which order is correct?
-2, -0.5, 1/4, 1.8-0.5, -2, 1.8, 1/41/4, -0.5, -2, 1.8-2, 1/4, -0.5, 1.8Correct! The values increase from -2 to -0.5 to 1/4 (0.25) to 1.8.
Compare the values carefully by considering their positions on the number line.
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Hint
Find the distance between the two points by subtracting the smaller value from the larger value.
The spacecraft moved from the waypoint -2 to the waypoint 1.8. What is the integer part of the distance between these two coordinates?
Correct! The distance is 1.8 - (-2) = 3.8, but the integer answer requested is the whole number part: 3.
Check the difference between the two coordinates carefully.
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Hint
Look at the positions of the numbers on the number line.
Which statement about the waypoint coordinates is true?
1/4 is greater than 1.8-0.5 is greater than -2-2 is greater than 01.8 is less than 1/4Correct! -0.5 is to the right of -2, so it is greater.
Remember that numbers farther to the right on a number line are greater.
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