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