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. 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. Mere is a park ranger tracking the elevation of a hiking trail. The trail starts at the visitor center at 0 meters. Hikers first descend to a river that is 240 meters below the visitor center. Then they climb up to a lookout that is 160 meters above the river. Finally, they descend 80 meters to reach a campsite. What is the total vertical distance (magnitude) the hikers travel from the visitor center to the campsite?

…and 3 more problems

1. Charlotte is a mountain climber tracking her vertical position during an expedition. She starts at base camp, which is at 0 meters elevation. She climbs up 1420 meters to reach a ridge. Then she descends 780 meters into a valley to set up a shelter. Finally, she climbs back up 1050 meters to reach a summit. What is the total vertical distance Charlotte traveled during her climb, considering only the magnitude of each movement?
2. Emma is a marine biologist studying the migration of sea turtles. She uses a submersible to track them underwater. She starts at sea level (0 meters). First, she descends 1375 meters to observe a deep-sea turtle. Then, she ascends 823 meters to follow a group of jellyfish. Finally, she descends another 549 meters to reach a coral reef. What is the total vertical distance Emma's submersible traveled during this journey?
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 3 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. |−3400 + 2600| − |−1800 ÷ 12| = ?
3. Emma is exploring a cave system. She starts at an elevation of 0 meters at the entrance. She descends 45 meters to reach an underground river, then climbs up 20 meters to a dry ledge, and finally descends another 35 meters to the deepest chamber. What is the total vertical distance Emma traveled during her descent and ascent, considering only the magnitude of each movement?

…and 5 more problems