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.

He can estimate it by the following method, We can write, 13.8 as 138/10 and 1.42 as 142/100

Answered: Johnny is solving the multiplication…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.5: Multiplication With The Addition-or-subtraction Method

Problem 31P

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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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