Educ T 118.81.545 HARVARD COLLEGE LIBRARY GIFT OF GEORGE ARTHUR PLIMPTON GREENLEAF'S MATHEMATICAL SERIES. INDUCTIVE COURSE. FIRST LESSONS IN NUMBERS. A BRIEF COURSE IN ARITHMETIC. THE COMPLETE ARITHMETIC. The BRIEF COURSE and the COMPLETE ARITHMETIC are KEY TO THE COMPLETE ARITHMETIC, for Teachers only. COPYRIGHT, 1881, BY HENRY B. MAGLATHLIN. UNIVERSITY PRESS: JOHN WILSON AND SON, CAmbridge. PREFACE. THIS inductive book has been made to meet demands which have grown with the advance of educational ideas. Young pupils, who are expected to finish a course of grammar-school study and who are to be trained in the lower grades to facility and accuracy in the fundamental use of numbers, require training in both oral and written work. While they are too immature to understand the theory and science of numbers, they may be especially benefited by much simple practice. them the book furnishes, what is desirable, much practical work, and little theory. For There are many learners, whose circumstances compel them to leave school at an early age. They have little time to spend on definitions and theory, but want practice. This work will help such to acquire the ability to use numbers and apply them to the ordinary transactions of life. A BRIEF COURSE IN ARITHMETIC. NOTATION AND NUMERATION. 1. A Unit is a single thing, or one; as one book, one slate. 2. A Number is a unit, or a collection of units; as one book, five slates. 3. Arithmetic treats of numbers and their use. 4. Figures are characters used to express numbers. 5. Ten different figures are used in writing numbers: Name. Zero, One, Two. Three, Four, Five, Six, Seven, Eight, Nine. Figure. 0, 1, 2, 3, 4, 5, 6, 7. 8, 9. These figures used alone express the number of units shown by their names. The zero, or cipher, used alone expresses no units. 6. To express numbers larger than nine requires the use of two or more figures. |