Answer :
The sum of 26.5 imes 10⁴ and 9.4 imes 10⁴ is 35.9 imes 10⁴, which is written in scientific notation as 3.59 imes 10^5, making the correct option C.
To determine the sum of 26.5imes 10⁴ + 9.4 imes 10⁴, we can add the numbers since they have the same exponent for the base 10. The sum is 26.5 + 9.4 which equals 35.9.
To write this in scientific notation, we keep it as 3.59 imes 10⁵because we must adjust the decimal place to maintain one non-zero digit to the left, resulting in the exponent increasing by 1. Therefore, the correct answer is C. 3.59 imes 10⁵.
Answer:
[tex]\large\boxed{C.\ 3.59\times10^5}[/tex]
Step-by-step explanation:
[tex]\text{The scientific notation:}\\\\a\cdot10^k,\ \text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}.\\--------------------\\\\\text{We have}\\\\26.5\times10^4+9.4\times10^4=(26.5+9.4)\times10^4=35.9\times10^4\\\\=3.59\times10\times10^4=3.59\times10^5[/tex]