Multi-Digit Multiplication
A volcano erupts and shoots 23 rocks into the air. If this happens 4 times, how many rocks were ejected total?
23×4= 92 rocks
A volcano spews 96 cubic meters of lava. If it flows into 8 different streams, how many cubic meters flow in each stream?
96÷8=12 cubic meters per stream
A volcano's crater is 3/4 filled with lava. What fraction is empty?
1−3/4=1/4
A volcano is 3,000 meters tall. How many kilometers is this?
3,000 meters=3 kilometers
A volcano erupts for 15 minutes in the morning and 22 minutes in the afternoon. How many total minutes did it erupt?
15+22=37 minutes
Mount Fuji has 12 different hiking trails. If each trail is visited by 45 hikers per day, how many total hikers visit the trails daily?
12×45=540 hikers
Emergency services have 145 rescue kits to distribute equally among 5 evacuation centers. How many kits does each center receive, and how many are left over?
145÷5=29 kits per center with 0 left over (29 R0)
Scientists predict that 2/5 of the magma chamber will erupt. If another 1/5 erupts unexpectedly, what total fraction erupted?
2/5+1/5=3/5
Scientists measure volcanic gas at 8 liters per minute. How many milliliters is this per minute?
8 liters=8,000 milliliters
An emergency shelter has 234 bottles of water. Evacuees drink 178 bottles on the first day. How many bottles remain?
234−178=56 bottles
A volcano monitoring station records seismic activity 24 hours per day. If they detect 138 small tremors each hour, how many tremors are detected in one day?
24×138= 3,312 tremors
A volcanic island has 2,847 residents who need to evacuate on boats. Each boat holds 6 people. How many boats are needed?
2,847÷6=474 R3, so 475 boats are needed (must round up)
A volcanic island is 7/8 mile long. A lava flow covers 3/8 mile of the island. How much of the island remains uncovered?
7/8-3/8 = 4/8 = 1/2 mile
A lava flow travels 4 kilometers in one hour. How many meters did it travel?
4 kilometers=4,000 meters
A volcano monitoring team works in shifts. There are 6 scientists per shift, and they work 4 shifts per day. If they do this for 5 days, how many total scientist-shifts occurred?
6×4×5=120 scientist shifts
During a volcanic eruption, ash spreads over 256 square miles. If the ash layer is 17 inches deep on average, what is the product of these two measurements?
256×17= 4,352
Scientists collect 5,632 rock samples from a volcano. They want to divide them equally into 9 storage containers. How many samples go in each container, and how many are left over?
5,632÷9= 625 R7 (625 samples per container with 7 left over)
Compare these fractions using <, >, or =: The evacuation zone covers 5/6
of the area, while the danger zone covers 3/4 of the area.
5/6 > 3/4 (because 5/6=10/12 and 3/4=9/12)
A volcanic rock weighs 6 kilograms. Scientists need to know the weight in grams. What is the weight in grams?
6 kilograms=6,000 grams
Mount Kilauea erupted and destroyed 427 homes. Mount Pinatubo's eruption destroyed 3 times as many homes. How many homes did Mount Pinatubo's eruption destroy? How many total homes were destroyed by both eruptions?
Mount Pinatubo: 427×3=1,281 homes
Total: 427+1,281=1,708 homes
Scientists place 425 sensors around a volcano. Each sensor costs $238. What is the total cost of all sensors?
425×238=$101,150
A volcano releases 8,456 tons of ash over 7 days. What is the average amount of ash released per day? Express your answer with a remainder.
8,456÷7=1,208 tons per day (1,208 R0)
A volcano releases 3/10 of its total lava on Monday and 2/5 on Tuesday. What fraction of the total lava was released over these two days?
3/10 + 2/5 = 3/10 + 4/10 = 7/10
The temperature inside a volcano is 1,200 degrees Celsius. The perimeter of the crater is 850 meters. If you convert the perimeter to kilometers, what is the measurement?
850 meters=0.85 kilometers
A volcanic ash cloud travels 1,856 kilometers over 8 hours. Scientists need to know the average distance traveled per hour. They also want to know how far it would travel in 12 hours at the same rate. Solve both parts.
Average per hour: 1,856÷8=232 kilometers per hour
Distance in 12 hours: 232×12=2,784 kilometers