The sun generates about 4 * 10 ^ 26 joules of energy every second. There are about 3.15 * 10 ^ 7 seconds in a year. About how many joules of energy does the sun generate in a year? Write the answer in scientific notation. Express the answer to the exact decimal place. (1 point) joules
To find the total energy generated by the sun in a year, we need to multiply the energy generated per second by the number of seconds in a year.
Energy generated per second = 4 * 10^26 joules
Number of seconds in a year = 3.15 * 10^7 seconds
Total energy generated in a year = (4 * 10^26 joules) * (3.15 * 10^7 seconds)
To multiply numbers in scientific notation, we multiply the coefficients and add the exponents:
Total energy generated in a year = 4 * 3.15 * 10^(26+7) joules
Simplifying the multiplication:
Total energy generated in a year = 12.6 * 10^(26+7) joules
Adding the exponents:
Total energy generated in a year = 12.6 * 10^33 joules
Expressing the answer in scientific notation:
Total energy generated in a year = 1.26 * 10^34 joules
Therefore, the sun generates approximately 1.26 * 10^34 joules of energy in a year.
To calculate the total amount of energy the Sun generates in a year, we need to multiply the amount of energy generated per second by the number of seconds in a year.
Amount of energy generated per second = 4 * 10^26 joules
Number of seconds in a year = 3.15 * 10^7 seconds
The total energy generated in a year can be found by multiplying these two values together:
Total energy generated = (4 * 10^26 joules) * (3.15 * 10^7 seconds)
To get the answer in scientific notation, we need to multiply the coefficients and add the exponents:
Total energy generated = (4 * 3.15) * (10^26 * 10^7) joules
= 12.6 * 10 ^ 33 joules
Therefore, the Sun generates about 1.26 * 10^34 joules of energy in a year.
To calculate the amount of energy the sun generates in a year, we need to multiply the energy generated per second by the number of seconds in a year. Let's break down the calculation step by step:
1. Start with the energy generated per second: 4 * 10^26 joules.
2. Multiply this value by the number of seconds in a year: 4 * 10^26 joules * 3.15 * 10^7 seconds.
3. Applying the product rule for exponents, we can simplify the calculation: 4 * 3.15 * 10^(26 + 7) joules.
4. Multiply the numerical values: 4 * 3.15 = 12.6.
5. Add the exponents: 26 + 7 = 33.
6. Convert the result to scientific notation: 1.26 * 10^34 joules.
Therefore, the sun generates approximately 1.26 * 10^34 joules of energy in a year.