The discussion revolves around comparing the value of (4/3)^4 with the value of π, specifically examining how many decimal places they agree upon. The scope includes mathematical reasoning and calculations related to the precision of these values.
Participants express disagreement regarding the accuracy of the initial claim about the agreement of (4/3)^4 with π, with some asserting it agrees to one decimal place while others question the calculations. The discussion remains unresolved regarding the initial claim.
There are limitations regarding the clarity of the original problem statement and the assumptions made about the calculations. The precision of the values and the context of their comparison are not fully established.
Is there a typo in this? The calculation seems to give a result that is not accurate at all.RTCNTC said:The value of the irrational number π, correct to ten decimal places (without rounding) is 3.1415926535. By using your calculator, determine to how many decimal places does the quantity (4/3)^4 agree with π.
topsquark said:Is there a typo in this? The calculation seems to give a result that is not accurate at all.
[math]\left ( \frac{4}{3} \right ) ^4 \approx 3.1605[/math]
You can take it from there.
-Dan
Couldn't you have just done this? Using a calculator, as the problem says, (4/3)^4= 3.1604938271604938271604938271605. That "agrees with π" to one decimal place ("3.1") since it differs in the second decimal place ("6" instead of "4").RTCNTC said:The value of the irrational number π, correct to ten decimal places (without rounding) is 3.1415926535. By using your calculator, determine to how many decimal places does the quantity (4/3)^4 agree with π.