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A billion inches. A million years. A trillion words. A thousand galaxies. Mapping our world with big numbers.
"This picture book is one in a gazillion."--Jane O'Connor, the New York Times-bestselling author of the Fancy Nancy series Did you know that the earth is covered in three trillion trees? And that seven billion people weigh about the same as ten quadrillion ants? Our world is full of constantly changing numbers, from a hundred billion trillion stars in space to thirty-seven billion rabbits on Earth. Can you imagine that many of anything? The playful illustrations from New York Times-bestselling artist Isabel Greenberg and the friendly, straightforward voice of author Seth Fishman illuminate some of the biggest numbers in the universe--a hundred billion trillion stars--and the smallest--one unique and special YOU. Here is a book for story time, for science time, for math time, for bedtime, and all the times in between. Perfect for curious children, classrooms eager for STEM content, and readers who have devoured Ada Twist, Scientist and How Much Is a Million?
How long would it take to count to a billion without stopping? How many pizzas could a million dollars buy? Big numbers-- like millions, billions, and trillions-- are hard to visualize. In this book, the dynamic duo of David A. Adler and Edward Miller illustrate and explain these huge numbers in a lighthearted, easy-to-imagine way. Whether it's a trillion pieces of popcorn, a billion dollars, or even bigger numbers, the concrete examples in Millions, Billions, & Trillions, laid out in simple, kid-friendly language and bright, cartoony illustrations, will help young readers make sense of large values and develop a sense of scale. From the masterful team of David A. Adler-- a former math teacher-- and Edward Miller comes another great introduction to mathematical concepts for young readers. Don't miss their other collaborations, including Squares, Rectangles, and Other Quadrilaterals, Money Math, Place Value, and Let's Estimate!
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
How can an old man and his wife select one cat from a choice of millions and trillions.
"Numbers are often intimidating, confusing, and even deliberately deceptive--especially when they are really big. The media loves to report on millions, billions, and trillions, but frequently makes basic mistakes or presents such numbers in misleading ways. And misunderstanding numbers can have serious consequences, since they can deceive us in many of our most important decisions, including how to vote, what to buy, and whether to make a financial investment. In this short, accessible, enlightening, and entertaining book, leading computer scientist Brian Kernighan teaches anyone--even diehard math-phobes--how to demystify the numbers that assault us every day. With examples drawn from a rich variety of sources, including journalism, advertising, and politics, Kernighan demonstrates how numbers can mislead and misrepresent. In chapters covering big numbers, units, dimensions, and more, he lays bare everything from deceptive graphs to speciously precise numbers. And he shows how anyone--using a few basic ideas and lots of shortcuts--can easily learn to recognize common mistakes, determine whether numbers are credible, and make their own sensible estimates when needed. Giving you the simple tools you need to avoid being fooled by dubious numbers, Millions, Billions, Zillions is an essential survival guide for a world drowning in big--and often bad--data"--Jacket
Praise for BLUEPRINT TO A BILLION "A wonderful, well thought out analysis of entrepreneurship and leadership of a growth company." —Howard Lester, Chairman, Williams-Sonoma, Inc. "If you dream about growing your business to a billion, this is a fascinating down-to-earth study that you must read. Apply the seven essential principles to your business and you are off and running. Learn about strategy, growth, leadership, team building, and a whole lot more." —Joe Scarlett, Chairman of the Board, Tractor Supply Company "Blueprint to a Billion is a well-researched and thoughtfully written book that quantifies the growth pattern of America's highest growth companies." —Professor John Quelch, Senior Associate Dean, Harvard Business School "Eighty percent of the top-performing stocks in the last twenty years were small entrepreneurial companies that had an IPO in the prior eight years. Blueprint to a Billion tells you the seven key things these innovators did in common to become America's greatest growth companies." —William J. O'Neil, Chairman and Founder Investor's Business Daily, www.investors.com "Thomson has written a masterful work that will catalyze, empower, inspire, motivate, and illuminate entrepreneurs, investors, and policymakers. The world needs this book and will profit from it in manifold ways." —David M. Darst, Managing Director, Individual Investor Group Chief Investment Strategist, Morgan Stanley
Mathscape 7 offers clear advice for all students with step-by-step instruction for each exercise. These are graded as Introductory, Consolidation and Further Application, making the mathematics accessible to all students.Although written for stage 4 of the 7-10 syllabus in NSW it is a popular resource in other states.Mathscape 7 offers comprehensive coverage of the syllabus. It treats the outcomes of the Working Mathematically strand as an implicit part of every activity. Additionally, the
The first book in an all-new space adventure!
Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.