Find the difference between (1.3 × 108) and (3.8 × 107). Write the final answer in scientific notation.
a −2.5 × 101
b 2.5 × 10−1
c 9.2 × 107
d 9.2 × 108
To find the difference between (1.3 × 108) and (3.8 × 107), we subtract the two numbers:
(1.3 × 108) - (3.8 × 107) = 1.3 × 108 - 3.8 × 107
To subtract these numbers, we need to have the same exponent. So, let's change (3.8 × 107) to scientific notation with the same exponent as (1.3 × 108), which is 8:
3.8 × 107 = 0.38 × 108
Now we can subtract the two numbers:
(1.3 × 108) - (0.38 × 108) = (1.3 - 0.38) × 108 = 0.92 × 108
Therefore, the difference between (1.3 × 108) and (3.8 × 107) is 0.92 × 108.
In scientific notation, this is represented as 9.2 × 107.
So, the final answer is c) 9.2 × 107.