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What can be used to signify the repeating digits in a repeating decimal?
Wiki User
∙ 8y ago
The re are two ways:
Ellipses = "..."
A dot above the repeating string.
Wiki User
∙ 8y ago
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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.
How many three even digit numbers by using 12457 if each digit is used once?
None, because you do not have three even digits. None, because you do not have three even digits. None, because you do not have three even digits. None, because you do not have three even digits.
What can be used to signfy the realeating digits in a reapting decimal?
Usually a dot or a dash is put on top of the repeating digit to show that it is recurring
Why do you multiplied by a power of 10 when writing a repeating decimal as a rational number?
Multiplying by ten to the power k moves the decimal point k places to the right. If the repeating sequence comprises n digits and you multiply by 10n then the decimal point is moved n places to the right and the positions of the repeating sequence relative to the decimal point is not changed. This allows you to subtract the one repeating decimal expression from the other and get a terminating decimal which can then be used as the numerator of the ratio.
Is 0.123456789101112123456789101112 a repeating decimal?
As written it is a terminating decimal. However, if the digits 123456789101112 keep on repeating after the amount written (normally it would be written with a dot over the first 1 and the last 2; as that is impossible here, to show repeating an ellipsis (three dots) could be used, as in: 0.123456789101112123456789101112... to show that it goes on) then it is a repeating decimal.
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.
What happens when you are dividing decimals by whole numbers and you get a remainder?
Assuming by "decimals" you mean a number which has digits after a decimal point, then there is no remainder. You can append lots of zeros after the digits after the decimal point without changing the value of the number, and so you can continue the division after the non-zero decimal digits have been used up. eg 12.3 ÷ 2 gets to 6.1 and you think you have a remainder of 1, but you can append a zero to the 12.3 to get 12.30 without changing its value and now the division can continue to get: 12.30 ÷ 2 = 6.15 If the division does not terminate but ends with one or more digits repeating you can either indicate the repeating digit(s) by a dot over the first and last repeating digits (or over the digit if it is a single repeating digit), or round the answer to an appropriate number of decimal places - the question may tell you which to do.
How do you know when to put the bar on a repeating decimal?
The bar is only used for repeating decimals. If it is repeating, you can use it.
What word is used to signify the decimal point in a number?
The word used to signify a decimal point in a number is "point". For example, 3.14 written out would be three point one four.
What is used to represent a repeating decimal?
A repeating decimal is represented by a horizontal line over the repeating part.So for example .3255555555..... would be __.3255and .33333333..... would be __.33
What is a bar notation used to represent in math?
It represents a repeating decimal
Why is the addition of two repeationg decimals not equal to a repeating decimal?
It isn't?0.16... + 0.6... = 0.83.... (1/6 + 2/3 = 5/6)0.285714... + 0.428571... = 0.714285... (2/7 + 3/7 = 5/7)0.142857... + 0.16... = 0.3095238... (1/7 + 1/6 = 13/42)As it is difficult to use the normal dot notation, in the above examples, I've used bold-italic to show the repeating digits of the decimal. For example, 0.142857... means the decimal repeats the 6 digits 142857 forever, that is 0.142857142857142857142857...; 0.3095238... means the 6 digits 095238 repeat forever, that is 0.3095238095238095238...)
How do you do decimal word form?
The number before the decimal point is written in word form without suing "and". Next an "and is used where the decimal point appears. Then the number after the decimal point is written out in word form (again, without using "and"). Finally, the inverse power of ten is written and this is based on the number of digits after the decimal point.For 1 digit: tenths 2 digits: hundredths 3 digits: thousandths 4 digits: ten thousandths 5 digits: hundred thousandths 6 digits: millionths and so on.
What is anouther name for a repeating decimal?
To my knowledge there is no single word. Although, generally speaking, the word 'recurring' is used instead of 'repeating'. Hope that helps.
