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.
To find the total energy generated by the sun in a year, we multiply the energy generated per second (4×10^26 joules) by the number of seconds in a year (3.15×10^7 seconds).
(4×10^26 joules/second) × (3.15×10^7 seconds/year) = 12.6×10^33 joules/year
Since 12.6 is between 10 and 100, we can write the answer in scientific notation as:
1.26×10^34 joules/year
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.
The amount of energy the sun generates per second is given as 4×10^26 joules.
The number of seconds in a year is given as 3.15×10^7.
To multiply these two numbers in scientific notation, we can multiply the coefficients and add the exponents:
(4×10^26) * (3.15×10^7) = (4 * 3.15) * (10^26 * 10^7) = 12.6 * 10^33 joules
The answer, expressed in scientific notation to the exact decimal place, is 1.26 × 10^34 joules.
To find out how many joules of energy the sun generates in a year, we can multiply the energy generated per second by the number of seconds in a year.
The energy generated per second is 4×10^26 joules.
The number of seconds in a year is 3.15×10^7.
Now, to multiply these two numbers, we can simply multiply the coefficients and add the exponents:
(4×10^26) × (3.15×10^7) = (4 × 3.15) × (10^26 × 10^7) = 12.6 × 10^33
Since the question asks for the answer in scientific notation and to the exact decimal place, we can write the answer as:
1.26 × 10^34 joules