explain the relationship between multiplying and dividing by 10, 100 and 1000 and moving the decimal point to the left or to the right

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23-03-2016
Mathematics

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explain the relationship between multiplying and dividing by 10, 100 and 1000 and moving the decimal point to the left or to the right

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Аноним Аноним · Answer 1 · 2016-03-24T18:43:29+01:00

Examples:
1) Multiplying (for 10 , 100, 1000 always moving to the right)
  12.45*10=124.5*10   Moving to the right (1 "step")
  37.321*100=3732.1   Moving to the right (2 "steps")
  1.56789*1000=15678.9   Moving to the right (3 "steps")
2) Dividing (for 10 , 100, 1000 always moving to the left)
  56.89/10= 5.689 Moving to the left (1 "step")
234.98/100=2.3498 Moving to the left (2 "steps")
78956.67/1000=78.95667 Moving to the left (3 "steps")