1.34472 x 1099 (rounded to 6 sig. figures)
You can figure this out using simple formulas in a spreadsheet program such as Excel.
1070066266382758936764980584457396885083683896632151665013235203375314520604694040621889147582489792657804694888177591957484336466672569959512996030461262748092482186144069433051234774442750273781753087579391666192149259186759553966422837148943113074699503439547001985432609723067290192870526447243726117715821825548491120525013201478612965931381792235559657452039506137551467837543229119602129934048260706175397706847068202895486902666185435124521900369480641357447470911707619766945691070098024393439617474103736912503231365532164773697023167755051595173518460579954919410967778373229665796581646513903488154256310184224190259846088000110186255550245493937113651657039447629584714548523425950428582425306083544435428212611008992863795048006894330309773217834864543113205765659868456288616808718693835297350643986297640660000723562917905207051164077614812491885830945940566688339109350944456576357666151619317753792891661581327159616877487983821820492520348473874384736771934512787029218636250627816
there is 116 ones in the 1000 digits of pi. heres a site with the answer http://www.eveandersson.com/pi/precalculated-frequencies
The first 1000 digits of pi are 3.1415926535897932384626433832795028841971693993751058209749445923 0781640628620899862803482534211706798214808651328230664709384460 9550582231725359408128481117450284102701938521105559644622948954 9303819644288109756659334461284756482337867831652712019091456485 6692346034861045432664821339360726024914127372458700660631558817 4881520920962829254091715364367892590360011330530548820466521384 1469519415116094330572703657595919530921861173819326117931051185 4807446237996274956735188575272489122793818301194912983367336244 0656643086021394946395224737190702179860943702770539217176293176 7523846748184676694051320005681271452635608277857713427577896091 7363717872146844090122495343014654958537105079227968925892354201 9956112129021960864034418159813629774771309960518707211349999998 3729780499510597317328160963185950244594553469083026425223082533 4468503526193118817101000313783875288658753320838142061717766914 7303598253490428755468731159562863882353787593751957781857780532 171226806613001927876611195909216420198
1000
3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481...
Since there are 3 digits after the decimal, divide by 1000 (103):925 / 1000Then see if you can simplify.Since there are 3 digits after the decimal, divide by 1000 (103):925 / 1000Then see if you can simplify.Since there are 3 digits after the decimal, divide by 1000 (103):925 / 1000Then see if you can simplify.Since there are 3 digits after the decimal, divide by 1000 (103):925 / 1000Then see if you can simplify.
There are 116 1s in the first 1000 digits of pi.
there is 116 ones in the 1000 digits of pi. heres a site with the answer http://www.eveandersson.com/pi/precalculated-frequencies
There are 2892 digits.
1100
The first 1000 digits of pi are 3.1415926535897932384626433832795028841971693993751058209749445923 0781640628620899862803482534211706798214808651328230664709384460 9550582231725359408128481117450284102701938521105559644622948954 9303819644288109756659334461284756482337867831652712019091456485 6692346034861045432664821339360726024914127372458700660631558817 4881520920962829254091715364367892590360011330530548820466521384 1469519415116094330572703657595919530921861173819326117931051185 4807446237996274956735188575272489122793818301194912983367336244 0656643086021394946395224737190702179860943702770539217176293176 7523846748184676694051320005681271452635608277857713427577896091 7363717872146844090122495343014654958537105079227968925892354201 9956112129021960864034418159813629774771309960518707211349999998 3729780499510597317328160963185950244594553469083026425223082533 4468503526193118817101000313783875288658753320838142061717766914 7303598253490428755468731159562863882353787593751957781857780532 171226806613001927876611195909216420198
4
Find the greatest product of five consecutive digits in the 1000-digit number.7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450
#include<iostream> unsigned fib (unsigned term, unsigned a=0, unsigned b=1) { if (term<1) return a; return fib (--term, a+b, a); } int main() { std::cout << "Fibonacci (1000th term): " << fib (1000) << std::endl; }
1000
Look at the number 1000 and the number 11. Will 11 go into a number made of just the first digit of 1000 (which is 1). The answer is no, so you try to see if 11 will go into a number made of the first two digits of 1000 (which is 10). The answer is no, so try to see if 11 will go into a number made of the first three digits of 1000 (which is 100). The answer is yes. It goes 9 times. So write 99 below the first three digits of 1000. Subtract 99 from the 100 just above it. Remember the quotient is so far 9. Subtract 99 from the 100 just above it (the first three digits of 1000). You get a remainder of 1. Now bring down the last zero of 1000 and tack it to the right of the 1. You see a 10. Can 11 go into 10. No. So add a zero to the right of the quotient you already have to make it 90. For every digit you bring down from the original number you have to account for it in the quotient, whether it is zero or not. There are no more digits in 1000 so the last 10 you had is the remainder.
2625
3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481...