Johnny is solving the multiplication problem 13.8 × 1.42 by multiplying longhand. Ignoring the decimal points, Johnny gets 19596, and now he must figure out where the decimal point goes. Johnny doesn’t yet know the rule about adding the number of places behind the decimal points in 13.8 and 1.42. Explain how Johnny can use reasoning about the sizes of the numbers to determine where the decimal point should go in his answer.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Johnny is solving the multiplication problem 13.8 × 1.42 by multiplying longhand.

  • Ignoring the decimal points, Johnny gets 19596, and now he must figure out where the decimal point goes.
  • Johnny doesn’t yet know the rule about adding the number of places behind the decimal points in 13.8 and 1.42.

Explain how Johnny can use reasoning about the sizes of the numbers to determine where the decimal point should go in his answer.

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