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

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

1 answer

Let's perform each of the operations with the given numbers 3.25×107 and 2.5×105:

  1. Addition: 3.25×107+2.5×105

    • To add these, we need to express 2.5×105 in the same power of 10 as 3.25×107: 2.5×105=0.025×107
    • Now, adding: 3.25×107+0.025×107=(3.25+0.025)×107=3.275×107
  2. Division: 3.25×107÷2.5×105

    • Dividing: 3.252.5×1075=1.3×102
  3. Subtraction: 3.25×1072.5×105

    • Using the same conversion as in addition: 3.25×1070.025×107=(3.250.025)×107=3.225×107
  4. Multiplication: 3.25×1072.5×105

    • Multiplying: 3.252.5×107+5=8.125×1012

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

  • 3.25×107+2.5×105 matches 3.275 * 10^7
  • 3.25×107÷2.5×105 matches 1.3 * 10^2
  • 3.25×1072.5×105 matches 3.225 * 10^7
  • 3.25×1072.5×105 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}