Thousand Million Billion Trillion

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!

No. 104-117 contain also the Regents bulletins.

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.