Geraldo multiplies the decimals 0.84 x 0.55 using a calculator and gets the answer 0.462. He is puzzled because he knows the algorithm for multiplying these would be to take the numbers 84 and 55, multiply them, and move the decimal over four places. However, here the decimal is only moved over three places. Is this an example where the "rule" is incorrect? Explain how to help Geraldo understand this problem.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Geraldo multiplies the decimals 0.84 x 0.55 using a calculator and gets the answer 0.462. He is puzzled because he knows the algorithm for multiplying these would be to take the numbers 84 and 55, multiply them, and move the decimal over four places. However, here the decimal is only moved over three places. Is this an example where the "rule" is incorrect? Explain how to help Geraldo understand this problem.

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