Light travels at an approximate rate of 1.9 X 10^5 mi./sec. Why are about 3.2 X 10^7 seconds in a year. But how many miles does light travel in a year? Write the answer in scientific notation. Expressed the answer to the exact decimal place.
To find the total distance that light travels in a year, we need to multiply the speed of light by the number of seconds in a year.
Given:
Speed of light = 1.9 × 10^5 mi/sec
Number of seconds in a year = 3.2 × 10^7 sec
Distance traveled in a year = Speed of light × Number of seconds in a year
Distance traveled in a year = (1.9 × 10^5 mi/sec) × (3.2 × 10^7 sec)
Multiplying the numbers, we get:
Distance traveled in a year = 6.08 × 10^12 mi
Therefore, light travels approximately 6.08 × 10^12 miles in a year.
To find out how many miles light travels in a year, we need to multiply the speed of light by the number of seconds in a year.
Given:
Speed of light = 1.9 x 10^5 mi./sec
Number of seconds in a year = 3.2 x 10^7 sec
To calculate the distance traveled in a year, we can use the formula:
Distance = Speed x Time
Distance = (1.9 x 10^5 mi./sec) x (3.2 x 10^7 sec)
To multiply the numbers in scientific notation:
Distance = 1.9 x 3.2 x 10^5 x 10^7 = (1.9 x 3.2) x (10^5 x 10^7) = 6.08 x 10^12
Therefore, light travels approximately 6.08 x 10^12 miles in a year.
To find out how many miles light travels in a year, we can multiply the speed of light by the number of seconds in a year. Here's how you can do it:
1. Convert the speed of light from miles per second to miles per year:
- The speed of light is given as 1.9 X 10^5 mi./sec.
- There are about 3.2 X 10^7 seconds in a year.
- Multiply the speed of light by the number of seconds in a year: 1.9 X 10^5 mi./sec. x 3.2 X 10^7 sec/year.
2. Simplify the equation using scientific notation:
- Multiply the coefficients: 1.9 X 3.2 = 6.08.
- Add the exponents: 10^5 x 10^7 = 10^(5+7) = 10^12.
Therefore, the answer in scientific notation is 6.08 X 10^12 miles.
To express the answer to the exact decimal place is a bit tricky, as the number is extremely large. However, if you need the numerical value, you can calculate it as follows:
1 mile is approximately equal to 1.60934 kilometers. Therefore, we need to convert 6.08 X 10^12 miles to kilometers.
- Multiply the number of miles by the number of kilometers in one mile:
- 6.08 X 10^12 miles x 1.60934 km/mile.
- Simplify the equation using scientific notation:
- Multiply the coefficients: 6.08 x 1.60934 ≈ 9.7974912.
- Add the exponents: 10^12 remains the same.
Therefore, the approximate decimal value is 9.7974912 x 10^12 miles.
The average tectonic plate moves at the rate of 0.006 m per year. How many meters wouldn’t move in 2 X 10^6 years? Write the answer in scientific notation, expressed to the exact decimal place.
To find the number of meters that wouldn't move in 2 X 10^6 years, we need to multiply the rate of movement by the number of years.
Given:
Rate of movement = 0.006 m/year
Number of years = 2 X 10^6 years
To calculate the distance that wouldn't move, we can use the formula:
Distance = Rate of movement x Number of years
Distance = 0.006 m/year x 2 X 10^6 years
Multiplying the numbers, we get:
Distance = 0.006 x 2 x 10^6 = 0.012 x 10^6
To express it in scientific notation:
Distance = 1.2 x 10^4 m
Therefore, in 2 X 10^6 years, approximately 1.2 x 10^4 meters wouldn't move.