Multiply in Scientific Notation Quick Check

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Question
A sugar cube has a volume of about 4.9 ml. What is the total volume in milliliters of 1.5×106
sugar cubes?(1 point)
Responses

7.35×105
ml
7.35 times 10 superscript 5 baseline ml

7.35×106
ml
7.35 times 10 superscript 6 baseline ml

0.735×107
ml
0.735 times 10 superscript 7 baseline ml

7.35×107
ml
7.32 times 10 superscript 7 baseline ml
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1 answer

To find the total volume of 1.5 × 10^6 sugar cubes, we need to multiply the volume of one sugar cube by the number of cubes:

  1. The volume of one sugar cube is 4.9 mL.
  2. The number of sugar cubes is 1.5 × 10^6.

Now we calculate the total volume:

\[ \text{Total Volume} = \text{Volume of one cube} \times \text{Number of cubes} = 4.9 , \text{mL} \times (1.5 \times 10^6) \]

Breaking it down step-by-step:

  1. First, perform the multiplication of the numbers: \[ 4.9 \times 1.5 = 7.35 \]

  2. Now combine this result with the power of ten: \[ 7.35 \times 10^6 , \text{mL} \]

Thus, the total volume in milliliters of 1.5 × 10^6 sugar cubes is:

7.35 × 10^6 mL.

So the correct response is:

7.35×106 ml.