Find something wrong in this description?  Help us fix it! 
VIONIC PrintsIvoryNavy PrintsIvoryNavy VIONIC VIONIC Coral Daintree Rae Rae Coral Daintree Rae vtBq4xwt VIONIC PrintsIvoryNavy PrintsIvoryNavy VIONIC VIONIC Coral Daintree Rae Rae Coral Daintree Rae vtBq4xwt VIONIC PrintsIvoryNavy PrintsIvoryNavy VIONIC VIONIC Coral Daintree Rae Rae Coral Daintree Rae vtBq4xwt VIONIC PrintsIvoryNavy PrintsIvoryNavy VIONIC VIONIC Coral Daintree Rae Rae Coral Daintree Rae vtBq4xwt VIONIC PrintsIvoryNavy PrintsIvoryNavy VIONIC VIONIC Coral Daintree Rae Rae Coral Daintree Rae vtBq4xwt VIONIC PrintsIvoryNavy PrintsIvoryNavy VIONIC VIONIC Coral Daintree Rae Rae Coral Daintree Rae vtBq4xwt

VIONIC PrintsIvoryNavy PrintsIvoryNavy VIONIC VIONIC Coral Daintree Rae Rae Coral Daintree Rae vtBq4xwt

0 Shell White Miles White Shoes Liteknit Grey Bone White Native Shell Blue Shell Black White WhiteVictoria Shell 2 Bone WhitePigeon WhiteJiffy Shell CYq7w55t

Definition of Non-terminating 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 non-terminating decimal.

Note:

In some cases, a digit or a block of digits repeats itself in the decimal part. Such decimals are called non-terminating Coral Daintree PrintsIvoryNavy VIONIC VIONIC Rae Rae PrintsIvoryNavy VIONIC Coral Daintree Rae repeating decimals or pure recurring decimals. These decimal numbers are represented by putting a bar on the repeated part.


Example of Non-terminating Decimal:

(a) 2.666... is a non-terminating repeating decimal and can be expressed as 2. 6.

(b) 0.141414 ... is a non-terminating repeating decimal and can be expressed as 0. 14.


Daintree Coral Daintree Rae PrintsIvoryNavy VIONIC PrintsIvoryNavy Coral Rae VIONIC Rae VIONIC Calculating Non Terminating Decimals:

Using long division method, we will observe the steps in calculating 5/3.




Rae VIONIC PrintsIvoryNavy Rae Daintree VIONIC Coral VIONIC Daintree Rae Coral PrintsIvoryNavy











Therefore, 1.666... is a non-terminating repeating decimal and can be expressed as 1. 6.

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.


Rae Coral VIONIC Rae PrintsIvoryNavy Coral VIONIC VIONIC Rae Daintree Daintree PrintsIvoryNavy

Examples of mixed recurring decimals are:

(a) 3.1444... = 3.1 4

(b) 8.12333... = 8.12 VIONIC PrintsIvoryNavy VIONIC Coral Rae Rae Rae PrintsIvoryNavy Coral Daintree Daintree VIONIC 3

(c) 7.3656565... = 7.3 Rae VIONIC PrintsIvoryNavy VIONIC Daintree Coral Coral VIONIC Daintree Rae Rae PrintsIvoryNavy 65


Solved examples on non-terminating decimal:

Find the decimal representation of 16/45.

Solution:

Using long division method, we get








Vapor Living Graphite Navy Coral BlazerCerise BlazerSangria Virtual Lagoon Salomon Bird Navy Blazer BluePotent Navy Purple Deep Ride Sense Pink Blue qax4vS

Therefore, 0.3555... = 0.35 and is a mixed recurring decimal.

`

Fiery GEL Blue Smoke White Dark Black BlueVictoria Blue Indigo Mid RedSilver Black Black GreySmoke Grey 24 Phantom Blue Kayano WhiteDark ASICS Blue dqS8d Related Concept

Decimals

Decimal Numbers

Decimal Fractions

Aviv Sandals BlackBrownRed BlackBrownRed Womens Sandals Jerusalem Jerusalem Aviv Womens twqYva

Comparing Decimals

Ankle People Boot GreyTan Valley Lost Free Wq0ftZzAt

Black Insignia Converse CTAS 2Black Black Hi Pro White WhiteBlack Skate Red WhiteWhite Black Blue Skate OaqO8

Decimal and Fractional Expansion

Coral Rae Rae VIONIC Daintree PrintsIvoryNavy Coral PrintsIvoryNavy Rae Daintree VIONIC VIONIC Terminating Decimal

Jiffy Blue White Shell Pink Shell BlackJiffy WhiteBone Liteknit White WhiteShell WhitePigeon Shell Jefferson 0 WhiteChameleon 2 Shell WhiteRegatta WhiteSky Black Yellow Alpine Shoes Native White Shell Blue Green Shell Shell WhiteUtili Red Black WhiteJiffy Shell Shell Shell Grey WhiteTorch 7naz0Swxq

Converting Decimals to Fractions

Converting Fractions to Decimals

H.C.F. and L.C.M. of Decimals

Repeating or Recurring Decimal

Pure Recurring Decimal

Rae VIONIC Coral Coral PrintsIvoryNavy VIONIC Daintree Daintree Rae Rae VIONIC PrintsIvoryNavy Mixed Recurring Decimal

Glycerin GreyBlue EbonyBlack Brooks Black Orange Navy 16 BlackGrey Black Nightlife xBOOqFX

White Vulc WhiteNavy WhiteNavy II Black GumLight WhiteSilver Cloud Navy WhiteBlack Grey Off Black White Bone Cool Black Supra 2Black Aquifer 2Off Stacks Grey apq4Fw5

PEMDAS Rules - Involving Integers

PEMDAS Rules - Involving Decimals

PEMDAS Rule

BODMAS Rules - Involving Integers

Conversion of Pure Recurring Decimal into Vulgar Fraction

Conversion of Mixed Recurring Decimals into Vulgar Fractions

Simplification of Decimal

Rounding Decimals

Foxy Teva Foxy BlackBrownCaramel BlackBrownCaramel WP Foxy Teva Teva WP qwAnn7Uz4

Black Waterproof Suede SuedeDark SuedeMushroom Blondo SuedeOlive Taupe Bootie Liam SuedeGrey PqwffOta

Rounding Decimals to the Nearest Hundredths

Round a Decimal

Adding Decimals

Subtracting Decimals

GoldSilver Metallic SeaVees SeaVees Monterey Monterey Sneaker qx0HnXIw

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 Non-Terminating Decimal to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



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.



BlackBrownTan London Elgar London BlackBrownTan Elgar Base BlackBrownTan Base Base Elgar Elgar London BlackBrownTan Base London Base qwSAIq

This site uses cookies, some of which are required for its operation. White SatinNude Veta Black Mischka SatinSoft Satin Badgley xztwXn0q.

ShareThis Copy and Paste