The sun generates about 4x10^26 joules energy every second. There are about 3.15x10^7 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
To find 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: 4x10^26 joules
Number of seconds in a year: 3.15x10^7 seconds
Multiply these two numbers:
(4x10^26 joules) * (3.15x10^7 seconds) = (4 * 3.15) * (10^26 * 10^7) = 12.6 * 10^33 joules
Therefore, the sun generates approximately 1.26x10^34 joules of energy in a year.
To find 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.
Given:
Energy generated per second = 4×10^26 joules
Number of seconds in a year = 3.15×10^7 seconds
To calculate the total energy generated in a year, we multiply these two values:
Energy generated in a year = (4×10^26 joules) × (3.15×10^7 seconds)
Using the laws of exponents, we add the exponents when multiplying numbers in scientific notation:
Energy generated in a year = 4×3.15×10^(26+7) joules
Energy generated in a year = 12.6×10^33 joules
Expressing the answer in scientific notation, we can write:
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 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.
The energy generated by the sun per second is 4x10^26 joules.
The number of seconds in a year is 3.15x10^7.
To multiply these two values, we need to multiply the coefficients (4 and 3.15) and add the exponents (26 and 7).
4 * 3.15 = 12.6
10^26 * 10^7 = 10^(26+7) = 10^33
Thus, the total amount of energy generated by the sun in a year is 12.6x10^33 joules.
Expressing our answer in scientific notation to the exact decimal place, we have 1.26x10^34 joules.