Question

In this problem, you will practice adding, subtracting, multiplying, and dividing
numbers written in scientific notation. For each part, use the following numbers.
3.2x10^4 1.95x10^6 8.03x10^-8 2.56x10^-2 4.82x10^12
a. Choose two of the scientific numbers from the list and add them. Show your
wo

Answer 1

whats the answer

Answer 2

u sure

Answer 3

To add two numbers in scientific notation, we first need to ensure that they have the same exponent. We can choose the numbers \(3.2 \times 10^4\) and \(1.95 \times 10^6\) for this example.

### Step 1: Write both numbers in standard form

1. **Convert \(3.2 \times 10^4\)** to standard form:
\[
3.2 \times 10^4 = 32000
\]

2. **Convert \(1.95 \times 10^6\)** to standard form:
\[
1.95 \times 10^6 = 1950000
\]

### Step 2: Make the exponents the same

We need to express \(3.2 \times 10^4\) in terms of \(10^6\):

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

### Step 3: Add the numbers

Now we can add:

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

### Step 4: Final Result

The sum of \(3.2 \times 10^4\) and \(1.95 \times 10^6\) is:

\[
1.982 \times 10^6
\]

This is the final answer!

Answer 4

The sum of \(3.2 \times 10^4\) and \(1.95 \times 10^6\) in scientific notation is:

\[
1.982 \times 10^6
\]

Answer 5

Let's double-check the calculation step-by-step for clarity.

We are adding:

1. \(3.2 \times 10^4\)
2. \(1.95 \times 10^6\)

### Step 1: Convert both numbers to the same exponent.

To add these numbers, we can express them in terms of \(10^6\).

1. Convert \(3.2 \times 10^4\):
\[
3.2 \times 10^4 = 3.2 \times 10^4 \times \frac{10^2}{10^2} = 3.2 \times 10^6 \times 10^{-2} = 0.032 \times 10^6
\]

2. We keep \(1.95 \times 10^6\) as is.

### Step 2: Now we can add them:

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

### Step 3: Result

So, the final answer is:

\[
1.982 \times 10^6
\]

Thus, the result is verified as correct. Thank you for your patience!