Scientific Computations Worksheets Grade 8

1. A rectangular solar panel array is arranged in a grid with 4 rows and 5 columns. Each panel measures 1.8 × 10² cm by 9 × 10¹ cm. If the panels are placed edge-to-edge with no gaps, what is the total area covered by the array in square centimeters? Express your answer in scientific notation.
2. Olivia's solar farm generates 7.5 × 10⁶ watts of power. If each household requires 1.5 × 10³ watts, how many households can the farm power?
3. Mason is designing a rectangular garden in the shape of a grid for a science project. The garden is divided into 8 rows and 12 columns of identical square plots. Each plot has a side length of 2.5 × 10² millimeters. What is the total area of the entire garden in square millimeters? Express your answer in scientific notation.

…and 4 more problems

1. A rectangular solar farm is arranged in a grid pattern with 2.5 × 10² panels along the length and 4.8 × 10² panels along the width. Each individual panel measures 1.2 meters by 2.0 meters. If the panels are placed edge-to-edge with no gaps, what is the total area covered by the solar farm in square meters? Express your answer in scientific notation.
2. A research satellite is studying distant galaxies. It detects a star cluster approximately 4.2 × 10^18 kilometers away. The satellite's camera has a resolution that can distinguish objects separated by 7.5 × 10^14 kilometers. What is the maximum number of distinct resolution units between Earth and this star cluster? Express your answer in scientific notation.
3. Noah's factory produces 7.2 × 10⁹ microchips per year. Each microchip has a mass of 8.5 × 10⁻⁶ grams. What is the total mass of microchips produced in one year?

…and 3 more problems

1. A research lab is studying nanotechnology. They create nanoparticles that are each 8.4 × 10⁻⁹ meters in diameter. If they arrange these nanoparticles in a straight line to create a nanoscale circuit that is 1.68 × 10⁻⁴ meters long, how many nanoparticles are needed? Express your answer in scientific notation.
2. Lena is an environmental scientist studying microplastic pollution in a large lake. She estimates there are approximately 8.4 × 10^12 microplastic particles in the lake, which has a volume of 7.5 × 10^10 cubic meters. What is the average concentration of microplastic particles per cubic meter of water? Express your answer in scientific notation.
3. Noah is an astronomer studying a newly discovered asteroid. The asteroid has a mass of 6.1 × 10^16 kilograms and is traveling at a speed of 1.6 × 10^4 meters per second. What is the kinetic energy of the asteroid in joules? (Kinetic energy = 1/2 × mass × speed^2) Express your answer in scientific notation.

…and 4 more problems