Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137442812
Author: Sybilla Beckmann
Publisher: PEARSON+
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Textbook Question
Chapter 8.6, Problem 10P
Carl’s calculator displays only 10 digits. Carl punches some numbers and some operations on his calculator and shows you his calculator’s display: 0.034482758. Carl has to figure out whether the number whose first 9 digits behind the decimal point are displayed on his calculator is rational or irrational.
a. If you had to make a guess, what would you guess about Carl’s number: Do you think it is rational or irrational? Why?
b. Find a fraction of whole numbers whose first nine digits behind the decimal point in its decimal representation agree with Carl’s calculator’s display. (You do not have to put the fraction in simplest form.)
c. What if Carl’s number was actually 0.034483758003448375800034483758000034483758..
where the pattern of putting in more and more zeros before a block of 34483758 continues forever? In that case, is Carl’s number rational or irrational? Why?
d. Without any knowledge of how Carl got his number to display on his calculator, is it possible to say for sure whether or not it is rational? Explain.
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Chapter 8 Solutions
Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
Ch. 8.1 - Johnny says that 3 is a multiple of 6 because you...Ch. 8.1 - Manuela is looking for all the factors of 90. So...Ch. 8.1 - Show how to find all the factors of the following...Ch. 8.1 - a. Write a word problem such that solving your...Ch. 8.1 - a. Write a problem about a realistic situation...Ch. 8.1 - Solve problems (a) and (b), and determine whether...Ch. 8.1 - a. If A and how are answer, B are counting numbers...Ch. 8.1 - * If A, B, and C are counting numbers and both A...Ch. 8.2 - Describe a way that the children in Mrs. Verner’s...Ch. 8.2 - Explain why an odd counting number can always be...
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