The sun generates about 4 x 10^26 joules of energy every second. There are about 3.15 x 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.
To find the total amount of energy generated by the sun in a year, we need to multiply the energy generated every second by the number of seconds in a year.
Amount of energy generated every second: 4 x 10^26 joules
Number of seconds in a year: 3.15 x 10^7 seconds
Multiplying these two numbers, we get:
4 x 10^26 joules/sec * 3.15 x 10^7 sec = 12.6 x 10^(26+7) joules
Simplifying the exponent, we have:
12.6 x 10^33 joules
Therefore, the sun generates about 1.26 x 10^34 joules of energy in a year.
To calculate the amount of energy generated by the sun in a year, we need to multiply the energy generated every second by the number of seconds in a year.
The energy generated by the sun every second is 4 x 10^26 joules. The number of seconds in a year is 3.15 x 10^7 seconds.
To multiply these two numbers, we can multiply the base numbers (4 x 3.15) and add the exponents (10^26 x 10^7).
4 x 3.15 = 12.6
10^26 x 10^7 = 10^(26 + 7) = 10^33
Putting these results together, we get 12.6 x 10^33 joules.
Since we want to express the answer to the exact decimal place, we can write it as 1.26 x 10^34 joules.
To find the total amount of 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.
Given:
Energy generated by the sun per second = 4 x 10^26 joules
Number of seconds in a year = 3.15 x 10^7 seconds
To find the total energy generated in a year:
Total energy = (Energy generated per second) x (Number of seconds in a year)
Total energy = (4 x 10^26 joules) x (3.15 x 10^7 seconds)
Now, let's perform the multiplication:
Total energy = (4 x 3.15) x (10^26 x 10^7) joules
Total energy = 12.6 x 10^(26+7) joules
Total energy = 12.6 x 10^33 joules
In scientific notation, the answer is 1.26 x 10^34 joules.