Math and Arithmetic
Algebra

# What is the sum of the first 144 decimal digits of pi?

434445 ###### 2011-03-14 17:58:18

Pi to 144 decimal places is written thus:

3.14159265358979323846264338327950288419716939937510

58209749445923078164062862089986280348253421170679

82148086513282306647093844609550582231725359

The sum of these first 144 decimal digits (after the decimal point) is 666.

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## Related Questions That means the number itself is divisible by three. the sum of the digits in 144, for example, is 9. 144 divided by 3 is 48. The sum of the digits in 21 is 3. 21 divided by 3 is 7.If the number is an even number and the sum of the digits is divisible by 3, the number is also divisible by 6. 144 is even and the sum of the digits is divisible by 3, so 144 is also divisible by 6. 144/6 = 24. And finally, if the sum is divisible by 9, the number itself is also divisible by 9. 27 is an example of this. 9046. 20 ÷ 11 = 1.81... With the 81 repeating forever. So the sum of the first 2011 digits is the first digit plus the next 2010 digits which are "81" repeated 1005 times. Sum = 1 + (8 + 1) x 1005 = 9046 Rounded to five significant figures, 18/593 = 0.030354. The full decimal expansion of this sum has 592 recurring decimal digits. Count the numbers of digits after the decimal points (DP) in the two numbers.Add these numbers together.Calculate the product, including any trailing 0s.Place the DP so that the number of digits after the DP is the same as the sum of the digits after the DP (step 2).Thus, for 15.38 * 0.0045The first number has 2 digits after the DP, the second has 4, so sum of digits after DP is 2+4 = 6.1538*0045 = 69210.The answer must have 6 digits after the DP so you need to insert a 0 after the DP to make it .069210 which can then be simplified to .06921 -- If you accept 4-digit numbers with 'zero' as the first digit, thenthere are 24 possibilities, and their sum is 119,988 .-- If the first digit can't be a 'zero', then there are 18 possibilities,and their sum is 115,992 .Note: I didn't repeat any digits.-- If you allow repeated digits, and accept leading zeros, then there are 256 possibilities,and their sum is 1,279,872.-- If you allow repeated digits but not leading zeros, then there are only 192 possibilities,and their sum is 1,247,904. You do not need to align decimal points when multipylng. You multiply the two numbers ignoring the decimal point but ensuring that any trailins 0s are present. The number of digits after the decimal point in the answer is the sum of the number of digits after the decimal points in the two multiplicands. When using front-end estimation, we add or subtract the front digits, and then adjust for a more accurate estimation by estimating the sum of the digits to the right of the decimal point.

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