Give the example of place value of base ten

Chemistry

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Answer

Thamani ya nafasi (place value) katika mfumo wa namba wa base ten inamaanisha kwamba thamani ya kila tarakimu katika namba inategemea nafasi yake. Kila nafasi inawakilisha nguvu ya 10.

Kwa mfano, tuchukue namba 345:

  • Tarakimu 5 iko katika nafasi ya mamoja (ones place), ambayo inawakilisha 5×100=5×1=55 \times 10^0 = 5 \times 1 = 5.
  • Tarakimu 4 iko katika nafasi ya makumi (tens place), ambayo inawakilisha 4×101=4×10=404 \times 10^1 = 4 \times 10 = 40.
  • Tarakimu 3 iko katika nafasi ya mamia (hundreds place), ambayo inawakilisha 3×102=3×100=3003 \times 10^2 = 3 \times 100 = 300.

Kwa hiyo, namba 345 inaweza kuandikwa kama:

300+40+5=345300 + 40 + 5 = 345

Huu ni mfano wa thamani ya nafasi katika base ten.

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