Final answer:
The sum of 5.3x10^5 and 3.8x10^4 is found by expressing both numbers with the same exponent, adding them, and expressing the sum in proper scientific notation, which is 5.68x10^5. The correct answer is B. 5.68x10^5.
Step-by-step explanation:
To find the sum of 5.3×105 and 3.8×104, you should first express both numbers with the same exponent for ten to simplify the addition. The number with the smaller exponent can be rewritten:
3.8×104 = 0.38×105
Now, add the numbers with the same exponent:
5.3×105 + 0.38×105 = (5.3 + 0.38) ×105
This equals 5.68×105, which is the sum in proper scientific notation.
Therefore, the correct answer is B. 5.68×105.