Ufumbuzi - Uzidishaji mrefu
Maelezo kwa hatua
1. Andika upya namba kutoka juu hadi chini kulingana na mkono wa kulia
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
2. Zidisha namba kutumia njia ya uzidishaji mrefu
Anza kwa kuzidisha digit moja (5) ya kuzidisha 365 kwa kila digit ya kuzidiwa 215,000,000, kuanzia kulia kwenda kushoto.
Zidisha tarakimu ya moja (5) ya multiplicator na nambari mahali pa moja ya thamani:
5×0=0
Andika 0 kwenye mahali pa moja.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | |||||||||||
Zidisha tarakimu ya moja (5) ya multiplicator na nambari mahali pa kumi ya thamani:
5×0=0
Andika 0 kwenye mahali pa kumi.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | ||||||||||
Zidisha tarakimu ya moja (5) ya multiplicator na nambari mahali pa mia ya thamani:
5×0=0
Andika 0 kwenye mahali pa mia.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | 0 | |||||||||
Zidisha tarakimu ya moja (5) ya multiplicator na nambari mahali pa alfu ya thamani:
5×0=0
Andika 0 kwenye mahali pa alfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | 0 | 0 | ||||||||
Zidisha tarakimu ya moja (5) ya multiplicator na nambari mahali pa makumi ya maelfu ya thamani:
5×0=0
Andika 0 kwenye mahali pa makumi ya maelfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | 0 | 0 | 0 | |||||||
Zidisha tarakimu ya moja (5) ya multiplicator na nambari mahali pa mamia ya maelfu ya thamani:
5×0=0
Andika 0 kwenye mahali pa mamia ya maelfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | 0 | 0 | 0 | 0 | ||||||
Zidisha tarakimu ya moja (5) ya multiplicator na nambari mahali pa mamilioni ya thamani:
5×5=25
Andika 5 kwenye mahali pa mamilioni.
Kwa sababu matokeo ni zaidi ya 9, beba 2 kwenye mahali pa makumi ya mamilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
5 | 0 | 0 | 0 | 0 | 0 | 0 | |||||
Zidisha digit ya moja (5) ya kuzidisha na namba kwenye thamani ya nafasi ya makumi ya mamilioni na ongeza namba iliyochezeshwa (2):
5×1+2=7
Andika 7 kwenye mahali pa makumi ya mamilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
Zidisha tarakimu ya moja (5) ya multiplicator na nambari mahali pa mamia ya mamilioni ya thamani:
5×2=10
Andika 0 kwenye mahali pa mamia ya mamilioni.
Kwa sababu matokeo ni zaidi ya 9, beba 1 kwenye mahali pa bilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
1 | 2 | ||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1,075,000,000 ni bidhaa sehemu ya ya kwanza.
Endelea kwa kuzidisha digit kumi (6) ya kuzidisha (365) kwa kila digit ya kuzidiwa (215,000,000), kuanzia kulia kwenda kushoto.
Kwa sababu digit (6) iko mahali pake kumi, tunasogeza matokeo ya sehemu kwa nafasi 1 kwa kuweka sifuri 1.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | |||||||||||
Zidisha tarakimu ya kumi (6) ya multiplicator na nambari mahali pa moja ya thamani:
6×0=0
Andika 0 kwenye mahali pa kumi.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | ||||||||||
Zidisha tarakimu ya kumi (6) ya multiplicator na nambari mahali pa kumi ya thamani:
6×0=0
Andika 0 kwenye mahali pa mia.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | |||||||||
Zidisha tarakimu ya kumi (6) ya multiplicator na nambari mahali pa mia ya thamani:
6×0=0
Andika 0 kwenye mahali pa alfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | ||||||||
Zidisha tarakimu ya kumi (6) ya multiplicator na nambari mahali pa alfu ya thamani:
6×0=0
Andika 0 kwenye mahali pa makumi ya maelfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | |||||||
Zidisha tarakimu ya kumi (6) ya multiplicator na nambari mahali pa makumi ya maelfu ya thamani:
6×0=0
Andika 0 kwenye mahali pa mamia ya maelfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | 0 | ||||||
Zidisha tarakimu ya kumi (6) ya multiplicator na nambari mahali pa mamia ya maelfu ya thamani:
6×0=0
Andika 0 kwenye mahali pa mamilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | |||||
Zidisha tarakimu ya kumi (6) ya multiplicator na nambari mahali pa mamilioni ya thamani:
6×5=30
Andika 0 kwenye mahali pa makumi ya mamilioni.
Kwa sababu matokeo ni zaidi ya 9, beba 3 kwenye mahali pa mamia ya mamilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
3 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
Zidisha digit ya kumi (6) ya kuzidisha na namba kwenye thamani ya nafasi ya makumi ya mamilioni na ongeza namba iliyochezeshwa (3):
6×1+3=9
Andika 9 kwenye mahali pa mamia ya mamilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
3 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |||
Zidisha tarakimu ya kumi (6) ya multiplicator na nambari mahali pa mamia ya mamilioni ya thamani:
6×2=12
Andika 2 kwenye mahali pa bilioni.
Kwa sababu matokeo ni zaidi ya 9, beba 1 kwenye mahali pa mabilioni kumi.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
1 | 3 | ||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
12,900,000,000 ni bidhaa sehemu ya ya pili.
Endelea kwa kuzidisha digit mia (3) ya kuzidisha (365) kwa kila digit ya kuzidiwa (215,000,000), kuanzia kulia kwenda kushoto.
Kwa sababu digit (3) iko mahali pake mia, tunasogeza matokeo ya sehemu kwa nafasi 2 kwa kuweka sifuri 2.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 |
Zidisha tarakimu ya mia (3) ya multiplicator na nambari mahali pa moja ya thamani:
3×0=0
Andika 0 kwenye mahali pa mia.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 |
Zidisha tarakimu ya mia (3) ya multiplicator na nambari mahali pa kumi ya thamani:
3×0=0
Andika 0 kwenye mahali pa alfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 |
Zidisha tarakimu ya mia (3) ya multiplicator na nambari mahali pa mia ya thamani:
3×0=0
Andika 0 kwenye mahali pa makumi ya maelfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 |
Zidisha tarakimu ya mia (3) ya multiplicator na nambari mahali pa alfu ya thamani:
3×0=0
Andika 0 kwenye mahali pa mamia ya maelfu.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 | 0 |
Zidisha tarakimu ya mia (3) ya multiplicator na nambari mahali pa makumi ya maelfu ya thamani:
3×0=0
Andika 0 kwenye mahali pa mamilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
Zidisha tarakimu ya mia (3) ya multiplicator na nambari mahali pa mamia ya maelfu ya thamani:
3×0=0
Andika 0 kwenye mahali pa makumi ya mamilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Zidisha tarakimu ya mia (3) ya multiplicator na nambari mahali pa mamilioni ya thamani:
3×5=15
Andika 5 kwenye mahali pa mamia ya mamilioni.
Kwa sababu matokeo ni zaidi ya 9, beba 1 kwenye mahali pa bilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
1 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Zidisha digit ya mia (3) ya kuzidisha na namba kwenye thamani ya nafasi ya makumi ya mamilioni na ongeza namba iliyochezeshwa (1):
3×1+1=4
Andika 4 kwenye mahali pa bilioni.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
1 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
4 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Zidisha tarakimu ya mia (3) ya multiplicator na nambari mahali pa mamia ya mamilioni ya thamani:
3×2=6
Andika 6 kwenye mahali pa mabilioni kumi.
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
1 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
6 | 4 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
64,500,000,000 ni bidhaa sehemu ya ya tatu.
3. Ongeza bidhaa sehemu
Hatua 1075000000+12900000000+64500000000=78475000000 za muda mrefu za kuongeza zinaweza kuonekana hapa
Thamani ya mahali | mabilioni kumi | bilioni | mamia ya mamilioni | makumi ya mamilioni | mamilioni | mamia ya maelfu | makumi ya maelfu | alfu | mia | kumi | moja |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
+ | 6 | 4 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
7 | 8 | 4 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 |
Suluhisho ni: 78,475,000,000
Tulifanyaje?
Tafadhali tuache maoni yako.Kwa nini kujifunza hii
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