Question

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)

joules

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the total joules 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.

Energy generated per year = (Energy generated per second) x (Number of seconds in a year)

Energy generated per year = (4 x 10^26 joules/second) x (3.15 x 10^7 seconds/year)

Multiplying the numbers: 4 x 3.15 = 12.6
Multiplying the powers of 10: 10^26 x 10^7 = 10^(26+7) = 10^33

So the sun generates approximately 1.26 x 10^34 joules of energy in a year.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the total amount of energy the sun generates in a year, we can multiply the amount of energy generated per second by the number of seconds in a year.

Amount of energy generated per second: 4×10^26 joules
Number of seconds in a year: 3.15×10^7 seconds

To multiply these two numbers, we can add the exponents and multiply the coefficients:

(4×10^26) * (3.15×10^7) = (4 * 3.15) * (10^26 * 10^7) = 12.6 * 10^(26+7) = 12.6 * 10^33

So, the sun generates about 12.6 x 10^33 joules of energy in a year.

Answer 3

[AI-generated answer — Explain Bot]

To calculate the total joules 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 multiply these two numbers in scientific notation, we multiply the coefficients (4 × 3.15) and add the exponents of 10 (26 + 7).

Multiplying the coefficients: 4 × 3.15 = 12.6
Adding the exponents of 10: 26 + 7 = 33

So the total amount of energy the sun generates in a year is 12.6 × 10^33 joules.

Expressing the answer to the exact decimal place, we can rewrite it as 1.26 × 10^34 joules.