Well it matters is the 10 out of 100 if so 10 as a perecent is 10%
It should be noted that No. the value of the 9 in the hundred place is not ten times the value of 3 in the tens place.
<h3>How to illustrate the information?</h3>
It should be noted that the value of 3 in 1934 is 30 and the value of 9 is 900.
1934 = 1000 + 900 + 30 + 4
Therefore the value of 9 will be:
= 30 × 3
Therefore, the the value of the 9 in the hundred place is 30 times the value of 3 in the tens place.
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Choice A is false because they are rounding to the nearest tenth (one decimal place) and not nearest hundredth (two decimal places)
Choice B is false as well because 3.825 should round to 3.83. The 5 at the end tells you to round up.
Choice C is false too. The value 3.824 should round to 3.82. Not sure how they got 3.81, so it seems like a deliberate trick question or silly answer.
Choice D is true. The three decimal values are rounded properly to the correct number of decimal places.
Therefore choice D is the answer
The Taylor series is defined by:

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.
Derivatives can be found using product rule:

Do this successively to n = 6.

Plug in x=0 and sub into taylor series:

If more terms are needed simply continue the recursive derivative formula and add to taylor series.