Let's choose \( 3.2 \times 10^4 \) and \( 1.95 \times 10^6 \) for addition.
Step 1: Rewrite the numbers with the same power of ten
Since \( 1.95 \times 10^6 \) has a higher exponent, we can convert \( 3.2 \times 10^4 \) to have the same exponent of \( 10^6 \).
To convert \( 3.2 \times 10^4 \): \[ 3.2 \times 10^4 = 3.2 \times 10^4 \times \frac{10^2}{10^2} = 3.2 \times 10^6 \times 10^{-2} = 0.032 \times 10^6 \]
Step 2: Add the numbers
Now we can add the two numbers: \[ 0.032 \times 10^6 + 1.95 \times 10^6 = (0.032 + 1.95) \times 10^6 = 1.982 \times 10^6 \]
Step 3: Result
The result of adding \( 3.2 \times 10^4 \) and \( 1.95 \times 10^6 \) is: \[ 1.982 \times 10^6 \]