GRADE 5 Region 3 Nelia D. Bamba – Pampanga Magdalena P. Garcia – Angeles City Region 4 Gundalina C. Gonzales – Batangas Gerlie Ilagan – Quezon Consuelo Caringal – Batangas National Capital Region (NCR) Emma S. Makasiray – Pasig/San Juan Ester A. Santiago – Valenzuela Milagros Juakay – Pasig/San Juan Lucia Almazan – Manila Julie La Guardia – Valenzuela Bureau of Elementary Education (BEE) Federico L. Reyno Noemi B. Aguilar Project Staff Teresita G. Inciong – Director IV Merlita A. Nolido – Chief, Curriculum Development Division Mirla R. Olores – Asst. Chief, Curriculum Development Division Virginia T. Fernandez – Project Coordinator EXECUTIVE COMMITTEE Edilberto C. de Jesus – Secretary, Department of Education Juan Miguel M. Luz – Undersecretary for Finance and Administration Fe A. Hidalgo – Undersecretary for Programs and Projects Ferdinand S. Bergado Ma. Cristina C. Capellan Emilene Judith S. Sison Julius Peter M. Samulde Roy L. Concepcion Myrna D. Latoza Eric S. de Guia – Illustrator Consultants Fr. Bienvenido F. Nebres, SJ – President, Ateneo de Manila University Ms. Carmela C. Oracion – Principal, Ateneo de Manila University High School Ateneo de Manila University Grace Uy Support Staff
Printed in the Philippines. ISBN – 971-92775-4-8
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TABLE OF CONTENTS
Introduction............................................................................................................................. vii Matrix .................................................................................................................................. vii-xviii I. WHOLE NUMBERS A. Comprehension of Whole Numbers Reading and Writing Numbers through Billions