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), simply subtract the two numbers:
(1.3 × 108) - (3.8 × 107) = 1.3 × 108 - 3.8 × 107
To subtract these numbers, we need to express them with the same exponent. We can do this by converting (3.8 × 107) to scientific notation:
3.8 × 107 = 0.38 × 108
Now we can subtract the two numbers:
1.3 × 108 - 0.38 × 108 = 0.92 × 108
The final answer is 0.92 × 108, which is option d) 9.2 × 108.