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How do you turn a decimal to its simplest form then into a fraction?
To convert a decimal to a faction in its simplest form depends on the decimal: 1) If it is a terminating decimal, place the decimal over a 1 followed by the same number of 0s as digits in the decimal and then divide top and bottom by common factors until their only common factor is 1 - these divisions can be done in one step by dividing by their highest common factor. Every digit after the decimal point counts, including zeros between the decimal point and the first non-zero number. eg 0.75 has 2 digits after decimal point → 0.75 = 75/100 = 15/20 (divide by common factor 5) = 3/4 (divide by common factor 5); it can be done in one step by dividing by 25: 75/100 = 3/4 - divide by hcf(75, 100) = 25. eg 0.02 also has 2 digits after the decimal point → 0.02 = 02/100 = 2/100 = 1/50. 2) If it is a repeating decimal, place the repeating digits over the same number of 9s as the number of repeating digits and simplify as above. eg 0.242424... has 2 repeating digits (24) → 0.242424... = 24/99 = 8/33 eg 0.027027027... has 3 repeating digits (027) → 0.027027027... = 027/999 = 27/999 = 1/37 3) If it has a number of non-repeating digits before repeating digits, then a combination of 1 and 2 is used: put the non-repeating digits over a 1 followed by the same number of 0s as the number of digit, add the fraction formed by the repeating digits over the same number of 9s as the repeating digits followed by the same number of 0s as in the first fraction, and simplify the result. eg 0.08333... has 2 digits (0.08) followed by 1 repeating digit (3) → 0.08333... = 08/100 + 3/900 = 72/900 + 3/900 = 75/900 = 1/12 4) Any non-terminating, non-repeating decimal is irrational and cannot be converted into a fraction. eg √2 (= 1.41421...) cannot be represented as a fraction; eg π (= 3.14159...; pi - the ratio of a circle's circumference to its diameter) cannot be represented as a fraction.
Number system consists of how many digits?
The number system we commonly used, known as the decimal system, has 10 digits (0 to 9). It is possible to use other number systems, with a different number of digits. Any numbering system based on the same principle (the principle of place-value) must use 2 or more digits.
How do you turn a decimal into a fraction?
To convert a simple decimal into a fraction, you have to go through three steps. First count the number of digits to the right of the decimal. That number will be the power of ten in the denominator. Then you'll simply place the digits in the numerator over that denominator and you're done. Let's do a few. .4 (0.4) has one digit right of the decimal. That means 101 will be in the denominator. That's 10. Now take the 4 and put it on top, and you have 4/10 for your fraction. .82 has two digits right of the decimal. That means 102 will be in the denominator. That's 100. Put the 82 over the top, and you have 82/100 for your fraction. .603 has three digits right of the decimal. That means 103 will be in the denominator. That's 1000. Put the 603 on top, and you'll have 603/1000 for your fraction. .0075 has four digits right of the decimal. That means 104 will be in the denominator. That's 10000. Put the 75 on top, and you'll have 75/10000 for your fraction. (Note that there are only two digits in the decimal, and that's all we need in the fraction.) put it over a denominator that is used when saying it ex .1= 1 / 10 = one tenth I'm going to assume you mean how; .1 is one tenths 1/10 .01 is one hundredths so 1/100 .001 is one thousandths so 1/1000 .0001 is one ten-thousandths so 1/10,000 and so on
852 digits used to number the pages of a book how many numbered pages does the book have?
There are exactly 320 pages in 852 digits.
What is the value of pi of 25 decimal place?
Oh, dude, you're really testing my math skills here. The value of pi to 25 decimal places is 3.14159265358979323846264... but like, who really needs that many decimal places anyway? Just remember it's around 3.14 and you're good to go.
