Math 8A Unit 4 Study Guide

12. The average plate tectonic plate moves at the rate of 0.006 meter 3 * 10 ^ 6 per year. How many meters would it move in years? Write the answer in scientific notation, expressed to the exact decimal place

1 answer

To find the total distance the plate tectonic plate moves in years, we need to multiply the rate by the number of years.

Rate: 0.006 meter 3 * 10 ^ 6 per year

Let's assume we want to find the distance it moves in 5 years.

Distance = Rate * time

Distance = (0.006 meter 3 * 10 ^ 6 per year) * (5 years)

To multiply these numbers, we can multiply the coefficients (0.006 * 5) and add the exponents (3 + 6):

Distance = 0.030 meter * 10 ^ (3 + 6) per year

Simplifying the exponent:

Distance = 0.030 meter * 10 ^ 9 per year

The answer, in scientific notation, is 0.030 * 10^9 meters per year.