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

1 answer

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.