Final answer:
The sum of (3.012 x 10⁻⁸) and (4 x 10⁻⁸), with the same exponent, is found by adding the coefficients, resulting in (7.012 x 10⁻⁸).
Step-by-step explanation:
To calculate the sum of (3.012 x 10⁻⁸) and (4 x 10⁻⁸), we first ensure that the exponents are the same, which they are. Then, we simply add the coefficients (the numbers in front of the ten to the power of something).
So, we add 3.012 and 4:
- 3.012
- + 4.000
- ________
- = 7.012
Now, we take our new coefficient and put it back with the exponent:
(7.012 x 10⁻⁸)
Therefore, the sum of (3.012 x 10⁻⁸) + (4 x 10⁻⁸) is 7.012 x 10⁻⁸.