The sun generates about 4×1026 joules of energy every second. There are about 3.15×107 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)
To find the total amount of energy generated by the sun in a year, we need to multiply the energy generated per second (4×10^26 joules) by the number of seconds in a year (3.15×10^7 seconds).
When multiplying numbers in scientific notation, we add their exponents:
(4×10^26) * (3.15×10^7) = (4 * 3.15) * (10^26 * 10^7) = 12.6 * 10^(26+7)
Adding the exponents, we get 26 + 7 = 33.
Therefore, the sun generates approximately 12.6×10^33 joules of energy in a year.
To find the total 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.
Energy generated per second = 4×10^26 joules
Number of seconds in a year = 3.15×10^7 seconds
To find the total energy generated in a year, we multiply these two values:
Total energy generated in a year = (4×10^26 joules) x (3.15×10^7 seconds)
Multiplying the numbers together, we get:
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 find out how many joules 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.
Given:
Energy generated per second = 4 × 10^26 joules
Number of seconds in a year = 3.15 × 10^7
To multiply these numbers, we can apply the rules of scientific notation. The product of the coefficients is obtained by multiplying 4 by 3.15, which gives us 12.6. Since both numbers have a power of 10, we can simplify the powers by adding them together: 26 + 7 = 33.
So, the total number of joules of energy the sun generates in a year is 12.6 × 10^33 joules.
Expressed to the exact decimal place, the answer would be 1.26 × 10^34 joules.