rounding decimals worksheet

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The process of converting the infinite loop decimals into a fraction was more complicated and usually required the help of a calculator or other tools. The following is the general rule for converting infinite repeating decimals into fraction forms: 1: Truncated the fraction into a number and then took the module to get a small fraction. For example, for the infinite loop of 1/365249, we can intercept the decimal part into 1, 36524, and 9 and then take the quotient of them to get 1/365249. 2 divided the fraction of a fraction by itself until the quotient was 1 or 0. For example, for the infinite loop fraction 1/365249, we can divide it by 365249 to get the quotient 1/36524, 1/36525, 1/36526, and so on. 3 Multiply the fraction of the loop segment by a number smaller than it until the loop segment no longer appears. For example, for the infinite loop fraction 1/365249, we can multiply it by 365249/365249 to get 1/365250. 4 Multiply the fraction of the loop by a number smaller than it until the loop no longer appears and then convert the result to fraction. For example, for the infinite loop fraction 1/365249, we can multiply it by 365249/365249 to get 1/365250. We can convert it to a fraction of 1/(365249 * 365249). It should be noted that the above rules are only the general method of converting infinite repeating decimals into fraction forms. The specific conversion process may vary according to the position of the repeating fraction, precision requirements, and other factors.

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To convert the pure mixed repeating decimals into a fraction, one needed to transform the decimals so that both the decimals and the repeating decimals could be expressed as a fraction. The specific steps were as follows: 1 determines the length of the repeating fraction. The length of the loop determines whether a fraction can be expressed as a fraction. If the length of the repeating fraction was limited, it could be directly converted into a fraction. If the length of the repeating fraction was infinite, some transformations would be needed. 2. Divide the decimals into basic scores and repeating scores. The basic scores referred to the scores without loop sections, such as 1/2, 3/4, etc. A repeating fraction refers to a fraction that contains a repeating fraction in the decimal part, such as 2/3, 8/10, etc. 3. Turn the cycle points into points. The loop section can be represented by the product of the numerator and the decimal, and then the loop section can be replaced by the part of the base fraction so that the decimal of the fraction is equal to the length of the loop section of the fraction. For example, converting the pure mixed repeating decimals 0666666667 into a fraction can be expressed as: 06666666667 × 2/3 = 13333333334 Where 1333333334 represents the loop score, 2/3 represents the base score. Since the loop segment length is 2, the loop segment needs to be replaced with 1. 06666666667 × 1/2 = 0333333333 This way, the decimals 0666666667 would be converted into a score of 033333334.

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Recurring decimals refer to decimals with a repeating fraction, such as 06666 and 314159265358979323846. If you want to convert such decimals into scores, you can follow the following steps: 1 determines the position of the loop section, that is, the difference between the first number and the last number of the decimal part is usually the number sequence of the decimal part when the two numbers are equal. For example, 06666's repeating period is between the 6th and 7th digits of the decimal part, which means 6-7=1, so it can be expressed as 1/2. 2. The number where the loop section is located and the numbers after it are all omitted, and only the decimals are retained to obtain the fraction form. For example, 06666 could be expressed as 1/2(6/6=2/2=1+1/2). 3. If there are multiple cycles after a certain number in the decimal part, you need to first determine the last cycle and then follow the above steps. For example, the loop section of 314159265358979323846 is between the 26th and 27th digits of the decimal part, which is 26-27=-1. Therefore, you need to first determine whether the last loop section is 1 or-1 and then simplify it accordingly. The method of converting a repeating decimal into a fraction needed to determine the last loop section according to the position of the loop section and then simplify it according to the above steps.