Absolute Value Worksheets Grade 6

1. Maria is tracking the altitude of a submarine during a research mission. The submarine starts at sea level (0 meters). It first descends to -250 meters to study deep-sea life. Then it ascends 180 meters to avoid a strong current. Finally, it descends another 120 meters to reach its target location. What is the total distance the submarine traveled from its starting point, considering only the magnitude of the movements?
2. |−2400 + 1600| − |−350 + 150| = ?
3. Aroha is a deep-sea explorer piloting a submersible. She starts at sea level (0 meters). First, she descends 1,250 meters to investigate a hydrothermal vent. Then, she ascends 480 meters to observe a school of fish. Finally, she descends another 340 meters to reach an ancient shipwreck. What is the total vertical distance Aroha's submersible traveled during this mission?

…and 4 more problems

1. Tane is monitoring the altitude of his paraglider during a flight. He starts at a launch point that is 145 meters above sea level. First, he climbs up another 213 meters to catch a thermal. Then, he descends 189 meters to avoid some clouds. Finally, he climbs up another 97 meters to reach a stable altitude. What is the total vertical distance Tane traveled during this part of his flight?
2. Noah is a pilot for a hot air balloon company. He takes tourists on scenic rides. During one ride, the balloon starts at ground level (0 meters). First, it ascends 1,200 meters to give passengers a great view of the mountains. Then, to avoid some low clouds, it descends 450 meters. Later, it ascends another 700 meters to catch a favorable wind. What is the total vertical distance the balloon traveled during the ride?
3. Isabella is a marine biologist studying the movements of a deep-sea research submersible. The submersible starts at sea level (0 meters). On its first dive, it descends to -1350 meters to observe a hydrothermal vent. Then it ascends 870 meters to study a layer of plankton. Finally, it descends another 420 meters to reach a deep ocean trench. What is the total distance the submersible traveled vertically during this mission?

…and 4 more problems

1. Liam is tracking the daily temperature changes in his city. On Monday morning, it was -3°C. By afternoon, the temperature rose by 8°C. Then overnight, it dropped by 5°C. What was the final temperature on Tuesday morning?
2. Hana is a geologist studying the elevation changes along a hiking trail in a volcanic region. The trail starts at an elevation of 0 meters (sea level). The first section of the trail descends 340 meters into a crater. The next section ascends 175 meters to a ridge. The final section descends another 265 meters to a lava tube entrance. What is the total vertical distance Hana travels along the entire trail, considering only the magnitude of each movement?
3. Liam is monitoring the temperature in a science lab freezer. At 8:00 AM, the temperature was -15°C. By noon, it had warmed to -3°C. What was the absolute value of the temperature change from 8:00 AM to noon?

…and 4 more problems