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Finding a place value in a terminating decimal is easy. When placing the decimal always remember to place it at the tenth.

Q: How can you use place value to write a terminating decimal as a fraction with a power of ten in the deminator?

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non-terminatind decimal: a decimal numeral that does not end in an infinite sequence ofzeros ( contrasted with terminating decimal). terminating decimal: a decimal numeral in which, after a finite number of decimalplaces, all succeeding place values are 0, as 1 / 8 = 0.125 (contrasted with nonterminating decimal).

To get the decimal, divide the numerator of the fraction by the denominator. If the decimal runs to more than one place, then you have to round it to one decimal place.

A decimal number is one in which the place value of each digit is ten times the place value of the digit to its right. (... , thousands, hundreds, tens, units, tenths, hundredths, ... ) A decimal point is used to separate the units from the tenths. If a number in decimal form has non-zero digits after the decimal point then it is a decimal fraction. [There is one esoteric exception: if the decimal point is followed by an infinite string of 9s, then it is not a decimal fraction.] Thus 37.6 is a decimal fraction 0.6 is a decimal fraction 0.00000063 is a decimal fraction 37 is not a decimal fraction. 37.0 is not a decimal fraction. 37.999... recurring is no a decimal fraction [it is in fact = 38].

Third to the right of the decimal point

There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is (10d - 1)*10c, which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.

Related questions

A terminating decimal representation.

Okay. This If You Are Looking For A Example Of Terminating And Repeating Decimal You Came To The Right Place :] Example For Terminating Decimal 1/7= 0.142857 Example For Repeating Decimal 1/3= 0.33..

non-terminatind decimal: a decimal numeral that does not end in an infinite sequence ofzeros ( contrasted with terminating decimal). terminating decimal: a decimal numeral in which, after a finite number of decimalplaces, all succeeding place values are 0, as 1 / 8 = 0.125 (contrasted with nonterminating decimal).

Rational Numbers are any number that can be written in fraction form .This includes integers, terminating decimals, and repeating decimals as well as fractions. A decimal number can be written in rational numbers depending on the place value of the decimal point.

For terminating decimals, yes - the place value of the digit farthest to the right (furthest after the decimal point) is the denominator. Don't forget to simplify the fraction (if possible).

To get the decimal, divide the numerator of the fraction by the denominator. If the decimal runs to more than one place, then you have to round it to one decimal place.

The square root of 389 is an irrational number. It has a non-terminating, non-repeating decimal representation. As a result, having found a close estimate, a decimal fraction with one more digit after the decimal place will always be closer. The roots are approx +-/ 19.72

A decimal number is one in which the place value of each digit is ten times the place value of the digit to its right. (... , thousands, hundreds, tens, units, tenths, hundredths, ... ) A decimal point is used to separate the units from the tenths. If a number in decimal form has non-zero digits after the decimal point then it is a decimal fraction. [There is one esoteric exception: if the decimal point is followed by an infinite string of 9s, then it is not a decimal fraction.] Thus 37.6 is a decimal fraction 0.6 is a decimal fraction 0.00000063 is a decimal fraction 37 is not a decimal fraction. 37.0 is not a decimal fraction. 37.999... recurring is no a decimal fraction [it is in fact = 38].

Third to the right of the decimal point

There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is (10d - 1)*10c, which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.

There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.

There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.