Given the 2 numbers below, drag and match the correct answer for each operation shown.(2 points)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
​3.25×107​ +2.5×105
3.25×107÷2.5×105
3.25×107−2.5×105
3.25×107⋅×2.5×105
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1.3 * 10^2
3.275 * 10^7
8.125 * 10^12
3.225 * 10^7

Answer 1

Let's perform each of the operations with the given numbers \(3.25 \times 10^7\) and \(2.5 \times 10^5\):

1. Addition: \(3.25 \times 10^7 + 2.5 \times 10^5\)

   • To add these, we need to express \(2.5 \times 10^5\) in the same power of 10 as \(3.25 \times 10^7\): \[ 2.5 \times 10^5 = 0.025 \times 10^7 \]
   • Now, adding: \[ 3.25 \times 10^7 + 0.025 \times 10^7 = (3.25 + 0.025) \times 10^7 = 3.275 \times 10^7 \]

2. Division: \(3.25 \times 10^7 \div 2.5 \times 10^5\)

   • Dividing: \[ \frac{3.25}{2.5} \times 10^{7-5} = 1.3 \times 10^2 \]

3. Subtraction: \(3.25 \times 10^7 - 2.5 \times 10^5\)

   • Using the same conversion as in addition: \[ 3.25 \times 10^7 - 0.025 \times 10^7 = (3.25 - 0.025) \times 10^7 = 3.225 \times 10^7 \]

4. Multiplication: \(3.25 \times 10^7 \cdot 2.5 \times 10^5\)

   • Multiplying: \[ 3.25 \cdot 2.5 \times 10^{7+5} = 8.125 \times 10^{12} \]

Now, matching the results to the given responses for the operations:

• \(3.25 \times 10^7 + 2.5 \times 10^5\) matches 3.275 * 10^7
• \(3.25 \times 10^7 \div 2.5 \times 10^5\) matches 1.3 * 10^2
• \(3.25 \times 10^7 - 2.5 \times 10^5\) matches 3.225 * 10^7
• \(3.25 \times 10^7 \cdot 2.5 \times 10^5\) matches 8.125 * 10^{12}

So the answers should be matched as follows:

1. Addition: 3.275 * 10^7
2. Division: 1.3 * 10^2
3. Subtraction: 3.225 * 10^7
4. Multiplication: 8.125 * 10^{12}