Question

The half life of uranium 235 is 700,000,000 years. The half life of uranium 238 is 4.463x10^11 years longer. What is the half life of uranium 238? The answer should be in decimal form

Answer 1

[AI-generated answer — Bot GPT 3.5]

The half life of uranium 238 is equal to the half life of uranium 235 plus the additional length of time, which is 4.463x10^11 years.

Half life of uranium 238 = 700,000,000 years + 4.463x10^11 years

Using scientific notation, we can add these two numbers by aligning the decimal places and adding the numbers:

Half life of uranium 238 = 7.00x10^8 years + 4.463x10^11 years

First, we need to convert 7.00x10^8 years to scientific notation with the same exponent as the other number:

7.00x10^8 years = 7.00x10^8 years x 10^(11-8) = 7.00x10^8 years x 10^3 years

Now we can add the numbers in scientific notation:

Half life of uranium 238 = (7.00x10^8 years x 10^3 years) + 4.463x10^11 years

= 7.00x10^8 years x 10^3 years + 4.463x10^11 years

= (7.00 + 4.463)x10^11 years

= 11.463x10^11 years

Now we can write the final answer in decimal form by moving the decimal point to the left until there is only one digit to the left of the decimal point:

Half life of uranium 238 = 1.1463x10^12 years.