In this problem, you will practice adding, subtracting, multiplying, and dividing numbers written in scientific notation. For each part, use the following numbers.

Question

3.2×104
1.95×10^6

Choose two of the scientific numbers from the list and add them. Show your work.

Answer 1

To add the numbers \(3.2 \times 10^4\) and \(1.95 \times 10^6\), we first need to express both numbers in the same power of 10.

Step 1: Convert \(3.2 \times 10^4\) to the same power of 10 as \(1.95 \times 10^6\).

Since \(10^6\) is a greater power of 10 than \(10^4\), we can convert \(3.2 \times 10^4\) as follows:

\[ 3.2 \times 10^4 = 3.2 \times 10^4 \times \frac{10^2}{10^2} = 3.2 \times 10^6 \times 10^{-2} = 0.032 \times 10^6 \]

Step 2: Now we can add \(0.032 \times 10^6\) and \(1.95 \times 10^6\).

\[ 0.032 \times 10^6 + 1.95 \times 10^6 = (0.032 + 1.95) \times 10^6 \]

Step 3: Calculate the sum.

\[ 0.032 + 1.95 = 1.982 \]

Therefore,

\[ (0.032 + 1.95) \times 10^6 = 1.982 \times 10^6 \]

Final Result

The result of adding \(3.2 \times 10^4\) and \(1.95 \times 10^6\) is

\[ \boxed{1.982 \times 10^6} \]