[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-456710-105":59,"doc-detail-456710-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","4th-grade-place-value-and-operations-with-whole-numbers","4th Grade - Place Value and Operations with Whole Numbers","","Grade 4 mathematics textbook pages introduce Place Value and Operations with Whole Numbers under a California Common Core Standards framework. It covers essential questions and learning outcomes such as using place value to compare, add, subtract, and estimate with whole numbers, comparing and ordering whole numbers, rounding strategies, and recognizing connections between adding different-digit numbers. The content also includes chapter structures, mid-chapter checkpoints, vocabulary support, and problem-solving with addition and subtraction.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/4th-grade-place-value-and-operations-with-whole-numbers/456710/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/4th-grade-place-value-and-operations-with-whole-numbers/456710.png","ImageObject",300,407,{"name":92,"@type":93},"cksankcs","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-16","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What essential skills are addressed in the Place Value and Operations unit?","Question",{"text":112,"@type":113},"Students learn to use place value to compare, add, subtract, and estimate whole numbers, along with strategies for comparing, ordering, and rounding.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which topics appear in the early chapters of this unit?",{"text":117,"@type":113},"The table of contents lists place value relationships, reading and writing numbers, comparing and ordering numbers, rounding numbers, and then adding and subtracting whole numbers.",{"name":119,"@type":110,"acceptedAnswer":120},"How is chapter learning organized in this textbook section?",{"text":121,"@type":113},"Chapters include overviews with essential questions, vocabulary support, mid-chapter checkpoints, and chapter review/test pages.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},456710,1791073739,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},3985747882755,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","4th Grade  \n© Houghton Mifflin Harcourt Publ ishing Company • Cover and Title Image Credits: (fg) Allen’s Hummingbird  \nMade in the United States Text printed on 100% recycled paper  \n©Eric Lo/Fl ickr/Getty Images; ( bg) Lake Tahoe ©Rachid Dahnoun/Aurora Open/Corbis  \nCopyright © 2015 by Houghton Mifﬂin Harcourt Publishing Company  \nAll rights reserved. No part of the material protected by this copyright may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, broadcasting or by anyother information storage and retrieval system, without written permission of the copyright owner unless such copying is expressly permitted by federal copyright law.  \nOnly those pages that are speciﬁcally enabled by the program and indicated by the presence of the print icon may be printed and reproducedin classroom quantities by individual teachers using the corresponding student’s textbook or kit as the major vehicle for regular classroom instruction.  \nCommon Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Ofﬁcers. All rights reserved.  \nThis product is not sponsored or endorsed by the Common Core State Standards Initiative of the National Governors Association Center for Best Practices and the Council of Chief State School Ofﬁcers.  \nHOUGHTON MIFFLIN HARCOURT and the HMH Logo are trademarksand service marks of Houghton Mifﬂin Harcourt Publishing Company. You shall not display, disparage, dilute or taint Houghton Mifﬂin Harcourt trademarks and service marks or use any confusingly similar marks, or use Houghton Mifﬂin Harcourt marks in such a way that would misrepresent the identity of the owner. Any permitted use of Houghton Mifﬂin Harcourt trademarks and service marks inures to the beneﬁt of Houghton Mifﬂin Harcourt Publishing Company.  \nAll other trademarks, service marks or registered trademarks appearing on Houghton Mifﬂin Harcourt Publishing Company websites are the trademarks or service marks of their respective owners.  \n© Houghton Mifflin Harcourt Publ ishing Company • Image Credits: ( bg) ©Randall J Hodges/Supe rStock/Co r bis ; ( l ) ©Al l Canada Photos/Getty  \nImages ; (c) ©Mark Mi r ro r/Shutte rstock ; ( r) ©Joseph Sohm/Visions of America/Corbis  \nDear Students and Families,  \nWelcome to California Go Math!, Grade 4! In this exciting mathematics program, there are hands-on activities to do and real-world problems to solve. Best of all, you will write your ideas and answers right in your book. In California Go Math!, writing and drawing on the pages helps you think deeply about what you are learning, and you will really understand math!  \nBy the way, all of the pages in your California Go Math! book are made using recycled paper. We wanted you to know that you can Go Green with California Go Math!  \nSincerely,  \nThe Authors  \nMade in the United States  \nText printed on 100% recycled paper  \nAuthors  \nJuli K. Dixon, Ph.D.  \nProfessor, Mathematics Education University of Central Florida Orlando, Florida  \nMatthew R. Larson, Ph.D.  \nK-12 Curriculum Specialist for  \nMathematics Lincoln Public Schools Lincoln, Nebraska  \nEdward B. Burger, Ph.D.  \nPresident, Southwestern University Georgetown, Texas  \nMartha E. Sandoval-Martinez  \nMath Instructor El Camino College Torrance, California  \nSteven J. Leinwand  \nPrincipal Research Analyst American Institutes for  \nResearch (AIR) Washington, D.C.  \nContributor  \nRena Petrello  \nProfessor, Mathematics Moorpark College  \nMoorpark, CA  \nEnglish Language Learners Consultant  \nElizabeth Jiménez  \nCEO, GEMAS Consulting  \nProfessional Expert on English Learner Education  \nBilingual Education and Dual Language Pomona, California  \n© Houghton Mifflin Harcourt Publ ishing Company • Image Credits: ( bg) ©Jeff Oishan/Getty Images; (t) ©Ma rk Ka r rass/Co r bis ; ( b) ©Al lan Ve rnon/ Fl ickr/Getty Images  \nPlace Value and Operations with Whole Numbers  \nCritical A","cbCaihTQjegQJU4X","https://ap.wps.com/l/cbCaihTQjegQJU4X","pdf",55763982,603,"English","# Place Value and Operations with Whole Numbers\n## Project: Food in Space\n## Place Value, Addition, and Subtraction to One Million\n## Show What You Know\n## Vocabulary Builder\n## Chapter 1 Review/Test\n## Chapter 1 Overview\n## Chapter 2 Overview\n## Multiply by 1-Digit Numbers\n## Add Whole Numbers\n## Subtract Whole Numbers","[{\"question\":\"What essential skills are addressed in the Place Value and Operations unit?\",\"answer\":\"Students learn to use place value to compare, add, subtract, and estimate whole numbers, along with strategies for comparing, ordering, and rounding.\"},{\"question\":\"Which topics appear in the early chapters of this unit?\",\"answer\":\"The table of contents lists place value relationships, reading and writing numbers, comparing and ordering numbers, rounding numbers, and then adding and subtracting whole numbers.\"},{\"question\":\"How is chapter learning organized in this textbook section?\",\"answer\":\"Chapters include overviews with essential questions, vocabulary support, mid-chapter checkpoints, and chapter review/test pages.\"}]","4th Grade - Place Value and Operations with Whole Numbers | PDF",1790746765,1520]