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Complex Mathematical Calculations: Natural Numbers, Radicals, and Quotients, Schemes and Mind Maps of Mathematics

Mathematics

A series of mathematical calculations involving natural numbers, radicals, and quotients. It includes examples of dividing and finding the highest common factor (HCF) and lowest common multiple (LCM) of numbers. The document also covers the concept of rational and irrational numbers.

Typology: Schemes and Mind Maps

2021/2022

Uploaded on 01/01/2022

emran-khan-2 🇮🇳

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Kgal

Uitters

Natral

Nwmbers

(N): 1,2,3,1..

hale

Numbeu

0,1,2,3,

Tdagus (z):

-2-,0,',2,

Radisnal

Numbus

Ca):

-2,

0,,2.

uvadianal Numkus CID:

J5,

J3, 5

Raal

Numbe»

(R:

Lemhinatisn

)and

(T)

No.

Uun

.4:

qiwn positte

intageous

And

the

ist

uuauu

intugis

and

atisang

+ , oZr<b. (Eurlid's

Oivision

umuma)

Easamplu

3+1

Dividand

Dhian

Qualind

Runainder

Partial preview of the text

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Kgal Uitters

Natral Nwmbers (N): 1,2,3,1..

hale Numbeu ): 0,1,2,3,

Tdagus (z): -2-,0,',2,^ -

Radisnal (^) Numbus Ca): (^) -2, , 0,,2.

uvadianal Numkus CID: J5, J3, 5

Raal Numbe» (R: Lemhinatisn of (9 )and(T) No.

Uun .4: qiwn positte intageous a And b,

the ist (^) uuauu (^) intugis (^) and (^) atisang a (^) bq + , (^) oZr<b. (Eurlid's Oivision (^) umuma)

Easamplu

3X 3+

12 3 X4 +

Dividand Dhian x Qualind + Runainder

The undamotal Tuwam ithmetic

Theoum .2 CEundamotal Tuwm Authutic): Ewuy

Campesite numbe Can be opussed (Jactars

asapuadut Gpmus, ad us Jartousation

ds Luniqa, Qpat m the wder in whih

h pim actans acwi,

Exampla 5' Sonsidu^ dha^ numatn^ 4,^ whae^ 'n^ is^ a^ natuwal

man. Chack whaten thua is any vaus n

an uohich ands with hu dizit Ja

Aaluklon tan^ 4"^ to end^ ith^ RH,^ thwe^ wauld^ b^ A

pimaackax o 5. But by the Eundamuntol 2 m dudunebic Th ant be an valua n do t last digit gns an

ixtampla 6 Eind dhe-LCN and HCE 6and 20 b

pima 0ctorisatian mathad Banaactarisakion 6ond 20

Xution

213

20 -2/x 2 x

HCF2 LCM = 2 X2 x23X

Karmae'Notce, 12 X^120 #^ HCF^ XLCM^ 20,^ thethe^ psodutDsuaduct

oe nuwiheus js^ nat^ squal o^ he^ paducl hur HCE^ and^ LCM,

Ratisonal And Iatianal Numbs

Radisnal Ne (^) tional

7 San^ ba^ pssd in^ Carnat be arprssad

umoharu (^) p and (^) ir (^) um. Juntager Aud.

Asumu (^) that a 2C Cwhue^ Cis^ a^ pntas) BAquakion (

2b a

2b2-(2c)

2b-^2 Hc^2

2 b-2c = 2

b

'2 dividas b 2 2 als0 divides b

'2 is A camma atkn sa and b

a ond b 0ra notcophim numbes

which ontuadict the Jal that Ji s a Lation umbe

N ia a (^) ivatianal numb Ranu eroyad

Thegrum5 Lat i ba a ualianal numbu whe darimal

opansian tuuninates.^ han^ x^ SLan^ Jbe^ AKpruaed

An tho cam , whe p and Au topime,

-nd the pima actaruatan 8 heha

laun 25",^ whea^ n,m^ ae^ nan^ negadiua^ indeqos

ThearunlG Lat^ x-^ ha^ a^ uatianal^ numbe,^ uh^ thal 3he pima' artinakon^ i^ dheun 25 n^ m whoe n, m Aw nan-hegativa irtegs Then (^) Jas a docimal^ pasian which tauminate

Uhaaanl ut a-2 Jbo a Jutiana nunmb, ach hat e

ma aktoiaken nat othe aum

25,wha n,m aru nan- nLgctivo intugpa. Than

hgx o dacimal^ panaion waich is^ nan touminading supeaina Csecuwung).