Pure Recurring Decimal
Definition of Pure recurring decimal:
A decimal in which all the digits in the decimal part are repeated is called a pure recurring decimal.
A few solved problems are explained step-by-step with detailed explanation.
Worked-out example of pure recurring decimal:
(a) 5/3
= 1.666........
For, 5/3 when 5 is divided by 3, the quotient is 1.666.... and the digit 6 is repeating.
For instance, 1.666666 ......... can also be written as 1.6
Alternatively, we can write it by placing a dot above the repeating digit 6 in the quotient.
Therefore, 5/3 is a pure recurring decimal.
(b) 1/37
= 0.027027........
For, 1/37 when 1 is divided by 37, the quotient is 0.027027.... and the digits 027 are repeating.
For instance, 0.027027........ can also be written as 0.027
Alternatively, we can write it by placing a dot above the repeating digits 027 in the quotient.
Therefore, 1/37 is a pure recurring decimal.
(c) 9/37
= 0.243243......
For, 9/37 when 9 is divided by 37, the quotient is 0.243243....and the digits 243 are repeating.
For instance, 0.243243....... can also be written as 0.243
Alternatively, we can write it by placing a dot above the repeating digits 243 in the quotient.
Therefore, 9/37 is a pure recurring decimal.
● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules - Involving Decimals
● 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
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● Simplify Decimals Involving Addition and Subtraction Decimals
● Multiplying Decimal by a Decimal Number
● Multiplying Decimal by a Whole Number
● Dividing Decimal by a Whole Number
● Dividing Decimal by a Decimal Number
7th Grade Math Problems
From Pure recurring Decimal to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Perimeter of a Square | How to Find the Perimeter of Square? |Examples
Apr 25, 24 05:34 PM
We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square. We know that all the sides of a square are equal. Perimete… -
Perimeter of a Triangle | Perimeter of a Triangle Formula | Examples
Apr 25, 24 05:13 PM
We will discuss here how to find the perimeter of a triangle. We know perimeter of a triangle is the total length (distance) of the boundary of a triangle. Perimeter of a triangle is the sum of length… -
Perimeter of a Rectangle | How to Find the Perimeter of a Rectangle?
Apr 25, 24 03:45 PM
We will discuss here how to find the perimeter of a rectangle. We know perimeter of a rectangle is the total length (distance) of the boundary of a rectangle. ABCD is a rectangle. We know that the opp… -
Dividing 3-Digit by 1-Digit Number | Long Division |Worksheet Answer
Apr 24, 24 03:46 PM
Dividing 3-Digit by 1-Digit Numbers are discussed here step-by-step. How to divide 3-digit numbers by single-digit numbers? Let us follow the examples to learn to divide 3-digit number by one-digit nu… -
Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry
Apr 24, 24 03:45 PM
Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…