1 / 16

Decimals

Decimals. Decimal form can be obtained from Fraction by Division. Convert the denominator into 10 or power of 10 and write Equivalent Fraction. Mili -Unit– 1/1000 Mili - Kilo – 1/1 Million Centi –Kilo –1/ 1 Lac Unit-Kilo-- 1/1000. Unit- Mili – 1000 Kilo- Mili – 1 Million

maryperez
Télécharger la présentation

Decimals

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Decimals

  2. Decimal form can be obtained from Fraction by Division Convert the denominator into 10 or power of 10 and write Equivalent Fraction Mili-Unit– 1/1000 Mili- Kilo – 1/1 Million Centi –Kilo –1/ 1 Lac Unit-Kilo-- 1/1000 Unit-Mili – 1000 Kilo-Mili – 1 Million Kilo-Centi –1 Lac Kilo-Unit--1000

  3. Terminating Decimals Non-Terminating Decimals Non-Terminating Repeating Decimals 1/3,2/7,25/12 Non- Terminating Non-Repetitive Decimal 22/7 , Bring the Fraction into it’s LOWEST FORM To Find for Non- Terminating Decimals- observe prime factors of the denominator. If 2 and 5 are the prime factors of the denominator– The Fraction must be terminating If in addition any other prime number is a factor of Denominator –It’s non terminating (even if it may include 2 or 5 as prime factors ) Eg- 1/16 (T) ; 1/40(T) 1/14 (NT) : 1/70 (NT)

  4. CONVERSION OF TERMINATING DECIMALS INTO RATIONAL NUMBERS 1.2= 1.2X10/10 =12/10=6/5 – Mixed 0.2=0.2X10/10= 2/10 1.23= 1.23X100/100= 123/100-Mixed 0.567 = 0.567X1000/1000= 567/1000 OPERATION OF DECIMAL NUMBERS Addition Subtraction Multiplication Division

  5. Multiplication of Decimals Division of Decimals – Make the Denominator an Integer using Equivalent Fraction

  6. Repetitive Non Terminating Decimals to Fraction

  7. COVERT Take – 0.333333333333 =X 10 X = 3.333333333 9X= 10 X- X = 3.333333 – 0.333333 = 3 X =3/9=1/3

  8. Convert 0.444… into a fraction Let x= 0.444… Since the recurring decimal has a one-digit pattern we multiply this expression by 10 10x= 4.444… x= 0.444… 9x= 0 0 4. 0 ... 4 9 x= 4 9 0.444… =

  9. Convert 0.363636… into a fraction Let x= 0.363636… Since the recurring decimal has a two-digit pattern we multiply this expression by 100 100x= 36.3636… x= 0.3636… 99x= 0 0 0 36. 0 ... 4 11 36 99 = x= 4 11 0.363636… =

  10. Convert 0.411411411… into a fraction Let x= 0.411411411… Since the recurring decimal has a three-digit pattern we multiply this expression by 1000 1000x= 411.411411… x= 0.411411… 999x= 0 0 0 0 411. 0 0 ... 137 333 411 999 = x= 137 333 0.411411411… =

  11. Convert 0.3777… into a fraction Let x= 0.3777… Since the recurring decimal has a one-digit pattern we multiply this expression by 10 10x= 3.777… x= 0.377… 9x= 0 0 3. 4 ... 17 45 34 90 3.4 9 = = x= 17 45 0.3777… =

  12. Convert 1.01454545… into a fraction Let x= 1.01454545… Since the recurring decimal has a two-digit pattern we multiply this expression by 100 100x= 101.454545… x= 1.014545… 99x= 4 0 0 0 100. 4 0 ... 10044 9900 2511 2475 100.44 99 = = x= 279 275 0.01454545… =

  13. 5 11 5 11 It is worth noting a pattern in some recurring decimals: 107 999 4 9 31 99 0.107107… = 0.444… = 0.313131… = 23 999 7 9 8 99 0.023023… = 0.777… = 0.080808… = 163 999 5 9 37 99 3.163163… = 2.555… = 1.373737… = 3 2 1 This might save a bit of work when converting: “write as a decimal” x9 45 99 0.454545… = = x9

More Related