What ratio of two integers provides the value of the constant pi to 100 digits accuracy?
One possible answer is 314159265358979323846264338327950288419716939937510 5820974944592307816406286208998628034825342117068/10^99
The digits of pi are not periodic. Pi is an irrational constant, and if its digits were periodic, it could be expressed as a ratio of constant integers, meaning it would be rational.
It is claimed that pi, to 39 digits provides a level of accuracy sufficient to "draw" a circle the size of a hydrogen atom at the far end of the known universe. However, few cosmological constants are known t anything approaching that level of accuracy.
Which is greater the greatest whole number with five digits or the least whole number with 6 digits?
Integers of 6 digits are normally greater than integers of 5 digits
Usually a digit is a value from 0 to 9.
The sum of all the digits of all the positive integers that are less than 100 is 4,950.
Why is the size of a decimal number not necessarily determined by the number of decimal places notated?
Digits after (to the right of) the decimal point contribute to the accuracy of the number, not its magnitude (or size). So only the digits to the left of the decimal point contribute to the magnitude. Digits after (to the right of) the decimal point contribute to the accuracy of the number, not its magnitude (or size). So only the digits to the left of the decimal point contribute to the magnitude. Digits after (to… Read More
First, separate the negative and positive integers (put them into two separate groups). If there is a zero, you can put it in its own group - or put it into the same group with the positive integers. Negative integers come first, then zero, then positive integers. For positive integers: An integer with less digits comes before an integer with more digits. For integers with the same number of digits, look at the first digit… Read More
4 digits - representing 16 integers.
The digits of a value which can be used with accuracy with other values. ie- you have two measurements, 13.6mg and 15.716mg. The most digits you can use are 3, because 13.6 has an accuracy of 3 digits. If you used 5 digits, accuracy would be limited because you do not know/have the 4th and 5th digits of the first value. When a a significant digit is followed by an exact 5, round to the… Read More
Because the extra digits are just clutter suggesting a spurious level of accuracy.
pi is an irrational number and one characteristic of irrational numbers is that their decimal representation is neither terminating nor recurrent. This is also true for any other base for counting (other than pi itself). Also, pi is a transcendental number and so cannot be represented as a sum of algebraic operation on integers. Although the value of pi has been calculated to an accuracy of over a trillion digits, only 40 digits are required… Read More
It is possible, but for a totally absurd degree of accuracy.
either irrational numbers, integers, integers, rational numbers, or whole numbers
The answer is 28 054
It depends on the number of digits accuracy required. Round off to: 3 digits: 12.426 2 digits: 12.43 1 digit: 12.4 Round number: 12
Find the sum of the digits in the smallest positive integers that is divisible by 2 and 4 and 6 and 10 and 12 and 14?
The sum of the digits is 6.
Counting all integers from 1 to 238 inclusive, there are 606 digits between these two numbers.
It is 0 and 1.0=OFF AND 1=ON.
Eight - all nonzero integers are significant.
There are 120 of them.
Billions are integers and so there will be no decimal points or digits after it.
Three of them.
83333 83000 if only allowed two digits of accuracy
The sum of all the the integers between 1 and 2008 (2 through 2,007) is 2,017,036.
None. By definition, 1-digit integers cannot have two digits!
Assuming the full stops are thousand separators, the answer is 4 significant digits. However, integers ending in zero are ambiguous.
All digits all part of the set of integers.
There are none.
They are 13.
There are 125 of them.
A 2 digit number that is the product of 2 consecutive integers and the sum of its digits is greater than the product of the digits both digits are even?
The 2-digit number must be 20, because it is the only 2-digit number whose sum of its two even digits, 2 + 0 = 2, is greater than the product of its two even digits, 2 x 0 = 0. Moreover, 20 is a product of the two consecutive integers 4 and 5.
Integers with trailing 0s are ambiguous. There are at least two significant digits but, if the number is known to be accurate to the nearest integer, there are 4
When dealing with very small or very larger number what step would you take to improve the accuracy of calculations?
Make sure you have enough significant digits, depending on the desired accuracy.
One. Although integers ending in 0 are ambiguous. If the number is known to be accurate to the nearest ten, for example, then there are 3 significant digits.
Every number from 100 to 999 inclusive !
Five. Zeros that are after the decimal and are after nonzero integers are always significant.
0.12 Or 102 if you do not want to include non integers.
Integers ending in 0 are ambiguous. The answer is 2 or 3.
There are 21.
as many as needed to satisfy the accuracy needed.
If the trailing 0s are indicators of the degree of accuracy, then none. If not, then 4.
Integers divisible by 8 have their last 3 digits divisible by 8. So: 2934829387957008 is divisible by 8 because the last three digits are divisible by 8 (008 / 8 = 1). 2348012934801298304400 is also (400 / 8 = 50). 123006 is not (006 / 8 = 0.75).
3, but possibly 4. Integers ending in 0 are always ambiguous.
There are 20.
Neither. The number of digits after the decimal point is a measure of the accuracy, not magnitude.
3. trailing zeros give scale but are not significant as values of accuracy
Yes, pi is known with very high accuracy (to thousands of decimal digits). However, it is not possible to express it precisley using any finite number of decimal digits.
precision is the total number of bits or digits in the representation of a number. accuracy is the number of correct bits or digits in a number. Given a certain representation on a computer, all numbers stored in that representation will have the same precision; however the accuracy of different numbers will vary, depending on the source and on the calculations done on them.
How correct an answer is. The accuracy obtained from calculations depends on using bug-free computer chips as well as the quality of the input. Contrast with precision, which refers to the number of digits, or exactness, in an answer.