Definition of Nonterminating Decimal:
While expressing a fraction in the decimal form, when we perform division we get some remainder. If the division process does not end i.e. we do not get the remainder equal to zero; then such decimal is known as nonterminating decimal.
Note:
In some cases, a digit or a block of digits repeats itself in the decimal part. Such decimals are called nonterminating SAS SAS BlackSilver TMV TMV repeating decimals or pure recurring decimals. These decimal numbers are represented by putting a bar on the repeated part.
Example of Nonterminating Decimal:
(a) 2.666... is a nonterminating repeating decimal and can be expressed as 2. 6.BlackSilver SAS TMV TMV SAS Calculating Non Terminating Decimals:
Using long division method, we will observe the steps in calculating 5/3.
• In some cases at least one of the digits after the decimal point is not repeated and some digit/digits are repeated, such decimals are called mixed recurring decimals.
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Examples of mixed recurring decimals are:
(a) 3.1444... = 3.1 4Solved examples on nonterminating decimal:
Find the decimal representation of 16/45.
Solution:
Using long division method, we get
Therefore, 0.3555... = 0.35 and is a mixed recurring decimal.
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● Decimal and Fractional Expansion
● TMV TMV BlackSilver SAS SAS Terminating Decimal
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● SAS BlackSilver TMV TMV SAS Mixed Recurring Decimal
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● PEMDAS Rules  Involving Integers
● PEMDAS Rules  Involving Decimals
● BODMAS Rules  Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
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● Rounding Decimals to the Nearest Hundredths
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● Multiplying Decimal by a Decimal Number
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● Dividing Decimal by a Whole Number
● Dividing Decimal by a Decimal Number
7th Grade Math Problems
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