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A TV show had 5.6 x 105 viewers in the first week and 4.1 x 105 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation.

User Auraham
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Final answer:

The average number of viewers for the TV show over the two weeks is 4.85 x 10^5 when calculated and expressed in scientific notation.

Step-by-step explanation:

To find the average number of viewers over the two weeks for the TV show, we first add the viewers from each week and then divide by 2. The given numbers of the viewers are in scientific notation:

First week viewers: 5.6 x 105

Second week viewers: 4.1 x 105

Adding these numbers gives us:

(5.6 x 105) + (4.1 x 105) = 9.7 x 105

We then divide by 2 to find the average:

(9.7 x 105) / 2 = 4.85 x 105

So, the average number of viewers over the two weeks, expressed in scientific notation, is 4.85 x 105.