aqyaaya - 13 ivayaya - gainat kxaa - saatvaim gaatamk aaor gaat

AQyaaya - 13ivaYaya - gaiNatkxaa - saatvaIM

GaataMk AaOr Gaat

ivaYaya-saUcaIoGaataMk @yaa

hOoGaat evaM

AaQaaro]dahrNaoAByaasa

GaataMk @yaa hObahut baD,I saM#yaaAaoM kao

pZ,naa bahut mauiSkla haota hO.[na saM#yaaAaoM kao pZ,nao ko ilae hma Gaat ka p`yaaoga krto hOM.

Gaat evaM

AaQaar

1,00,000

= 10x10x10x10x10

=105

yaha^M 10 AaQaar (Base) hO AaOr 5 GaataMk (Power) khlaata hO.

yaa 10 kI 5vaIM Gaat pZ,a jaata hO.

]dharNa 1256 kao 2 kI Gaat maoM

vyakt kIijae.

256 =2x2x2x2x2x2x2x2

hma kh sakto hOM ik 256 =28

]dharNa 2kaOna saa AMk baD,a hO

23 yaa 32

23 =2x2x2 =8

32 =3x3 =9

At: 23 < 32

]dharNa 3128 kao 2 kI Gaat maoM

vyakt kIijae.

128 =2x2x2x2x2x2x2

hma kh sakto hOM ik 128 =27

]dharNa 4kaOna saa AMk baD,a hO

28 yaa 82

28 =2x2x2x2x2x2x2x2 =256

82 =8x8 =64

At: 28 > 82

]dharNa 5a4b2 kao p`saairt $p maoM

ilaiKe.

=(axaxaxa) x (bxb)

=a x a x a x a x b x b

GaataMkaoM ko

inayama

1. ek hI AaQaar vaalao GaataMkaoM ka gauNana

2. ek hI AaQaar vaalao GaataMkaoM ka ivaBaajana

3. ek Gaat kI Gaat laonaa4. samaana GaataMkaoM vaalaI GaataoM

ka gauNana5. samaana GaataMkaoM vaalaI GaataoM

ka ivaBaajana

ek hI AaQaar vaalao GaataMkaoM ka

gauNana23 x 22 maoM AaQaar samaana hO. At: gauNaa krto samaya [na kI Gaat ka yaaoga haota hO.At: 23 x 22 =23+2

23 x 22 =(2x2x2) x (2x2)

=2x2x2x2x2

=32

Qyaana idijae.

23 x 32 maoM AaQaar samaana nahIM hO.At: gauNaa krto samaya [na kI Gaat ka yaaoga nahIM haogaa.

ek hI AaQaar vaalao GaataMkaoM ka

ivaBaajana24/22 maoM AaQaar samaana hO. At: Baaga krto samaya [na kI Gaat ka GaTa haota hO.At:

25/22 = 25-2

25 x 22 =(2x2x2x2x2) / (2x2)

= 2x2x2x2x2

2x2

= 2x2x2

= 8

ek Gaat kI Gaat laonaa(23)

2 ka Aqa- hO 23 ka svayaM sao

dao baar gauNaa hao jaanaa.

At: 23 x 23 =23+3

@yaaMoik am x an=am+n haota hO.

=23+3 =26

Aqaa-t 23x2

samaana GaataMkaoM vaalaI GaataoM ka

gauNana

23 x 33 maoM GaataMk samaana hO. yaha^M GaataoM ko AaQaar iBanna

hO.23 x 33 =(2x2x2) x (3x3x3)

=(2x3) x (2x3) x (2x3)

=6x6x6

= 63

6 AaQaaraoM 2 AaOr 3 ka gauNanafla hO.

samaana GaataMkaoM vaalaI GaataoM sao

ivaBaajana

AByaasa

AByaasa 1GaataMkaoM ko

inayamaaoM ka

p`yaaoga kr ko hla kIijae.

34 x 33

a3 x a3

(53)2/ 53

(210/ 27)x 22

AByaasa 2ir@t sqaana Baire.105 maoM AaQaar hO AaOr Gaat hO.

23 x 33 maoM samaana nahIM hO.

AaQaar samaana haonao pr gauNaa krto

samaya Gaat ka haota hO.

(23)2

ka Aqa- hO 23 ka svayaM sao baar

hao jaanaa.

AByaasa 2ir@t sqaana Baire.105 maoM AaQaar 10 hO AaOr Gaat 5 hO.

23 x 33 maoM AaQaar samaana nahIM hO.

AaQaar samaana haonao pr gauNaa krto

samaya Gaat ka yaaoga haota hO.

(23)2

ka Aqa- hO 23 ka svayaM sao dao baar

gauNaa hao jaanaa.

Qanyavaad