Show that a fraction r = a/b in lowest terms has a finite decimal expansion if and

Question:

Show that a fraction r = a/b in lowest terms has a finite decimal expansion if and only if
b = 2n5m for some n,m ≥ 0.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction to graph theory

ISBN: 978-0131437371

2nd edition

Authors: Douglas B. West

See More Books

Question Posted: May 03, 2016 02:28 AM

See More Questions

In 1919, physicist Alfred Betz argued that the maximum efficiency of a wind turbine is around 59%. If wind enters a turbine with speed v1 and exits with speed v2, then the power extracted is the...
Show that the range spaces and null spaces of powers of linear maps t: V V form descending V R(t) R(t2) . . . and ascending {} N (t) N (t2) . . . chains. Also show that if k is such that R(tk)...
Reduce each fraction to lowest terms. 95/125
Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than...
Marcus Company assembles products from a group of interconnecting parts. The company produces some of the parts and buys some from outside vendors. The vendor for Part X has just increased its price...
Explain potential sources of conflict in performance management at both a systemic and individual level. LO3
An important part of management is dealing with people. Where is the human touch in any of the techniques described in this chapter? LO.1
On January 1, 2008, a machine was purchased for $900,000 by Tom Young Co. The machine is expected to have an 8-year life with no salvage value . It is to be depreciated on a straight-line basis. The...
Exact Photo Service purchased a new color printer at the beginning of 2018 for $38,700. The printer is expected to have a four-year useful life and a $1,548 salvage value. The expected print...
Imogen runs the Manor Park Hotel in Powys, Wales. She purchased the 50-bedroom hotel 10 years ago. She is wondering if the business is trading as well as it could be and would like a report stating...
Prove that the only function whose graph is symmetric with respect to both the y-axis and the origin is the function f (x) = 0.
A function f (x) is symmetric with respect to the vertical line x = a if f (a x) = f (a + x). (a) Draw the graph of a function that is symmetric with respect to x = 2. (b) Show that if f (x) is...
Understand the key elements of downsizing and organisational restructuring?
In the circuit shown below, IE = 120 mA, a = 0.99, a2 = 0.98. Assuming that both transistors are in the active state, answer the following questions: 1. Find IC, IB, IE, IC, and Ic. 2. Find the...
Find the open intervals where the function is concave upward or concave downward. Find any inflection points. f(x)=-(x+1)6 Find any critical numbers for f and then use the second derivative test to...
Worked Example A two-dimensional incompressible flow is expressed by the velocity functions: u = -2xy y = y = x 1 w=0 Find the pressure field p(x, y) when the pressure at the origin (x=o, y=o) is p.....
The following information is available for Blue Spruce Corp. for 2022. Cash used to purchase treasury stock Cash dividends paid $111,592 50,576 Cash paid for interest Net income 51,968 1,077,176...
3 4pts Foam k MA C L H W F A box is transported by a truck. Suddenly, the driver uses the brakes and applies 100 N deceleration force to the box. The weight of the box is 20 Kg and its dimensions are...
Punting is arguably more popular in Cambridge and Oxford than in any other region of the United Kingdom. During the warmer seasons, it is common to see rivers filled with puntsflat-bottomed boats...
d) For die casting processes: 1. What are the most common metals processed using die casting and discuss why other metals are not commonly die casted? 2. Which die casting machines usually have a...
For the limit illustrate Definition 8 by finding values of N that correspond to Îµ = 0.5 and Îµ = 0.1. v4x2 +1 lim
(a) How large do we have to take so that 1/x2 (b) Taking r = 2 in Theorem 5, we have the statement Prove this directly using Definition 7. lim
Use Definition 8 to prove that 1/x = 0. lim
Bought an old van for 4000 from Peters promising to pay laterwhat is the transactions
Company has a following trade credit policy 1/10 N45. If you can borrow from a bank at 9,5% annual rate, would it be beneficial to borrow money and pay off invoices earlier?
Given the following exchange rates, which of the multiple-choice choices represents a potentially profitable inter-market arbitrage opportunity? 129.87/$1.1226/$0.00864/ 114.96/ B $0.8908/ (C)...

Show that a fraction r = a/b in lowest terms has a finite decimal expansion if and

Question:

Step by Step Answer:

Suppose r has a finite decimal expansion Then there exists an ...View the full answer

Introduction to graph theory

Students also viewed these Calculus questions