[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-551053-105":59,"doc-detail-551053-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","grade-6-place-value-worksheet-decimals-in-expanded-notation","Grade 6 Place Value Worksheet - Decimals in Expanded Notation","","This Grade 6 mathematics worksheet provides comprehensive practice on expressing numbers with decimals in expanded notation. The document features twelve specific problems that require students to decompose multi-digit integers and their corresponding decimal components—such as tenths, hundredths, and thousandths—into their multiplicative values. By providing both the original problems and their detailed solutions, the worksheet serves as a rigorous self-assessment tool or instructional guide for developing foundational numeracy and place value understanding in middle school students. The exercises systematically cover various place values up to the hundred-thousands place and down to the thousandths place, reinforcing the mathematical structure of the decimal system through consistent, repeated practice in algebraic-style expansion. This structured approach helps learners visualize the contribution of each digit to the total value of a number, fostering precision and conceptual clarity in arithmetic 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is the objective of this Grade 6 worksheet?","Question",{"text":112,"@type":113},"The primary objective is to help students practice writing numbers containing decimals in expanded notation, where each digit is multiplied by its respective place value.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the numbers in this worksheet structured?",{"text":117,"@type":113},"The numbers range from thousands to hundred-thousands, including decimal components extending to the thousandths place, requiring students to expand both integer and fractional parts.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the document provide solutions for the problems?",{"text":121,"@type":113},"Yes, the document includes a comprehensive answer key that lists the expanded notation for each of the twelve problems provided in the 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notation.  \nExample: 42.89 = 4 x 10 + 2 x 1 + 8 x 0.1 + 9 x 0.01  \n1) 96,108.91   2) 5,041 .660   3) 75,394.80   4) 7,678.737   5) 8,274.727   6) 159,838.5   7) 85,322.35   8) 30,248.74   9) 69,683.91   10) 619,909.8   11) 4,586.192    \n12) 9,311 .849    \nDecimals in expanded notation  \nGrade 6 Place Value Worksheet  \nWrite the numbers in expanded notation.  \nExample: 42.89 = 4 x 10 + 2 x 1 + 8 x 0.1 + 9 x 0.01  \n1) 96,108.91 9 × 10000 + 6 × 1000 + 1 × 100 + 8 × 1 + 9 × 0.1 + 1 × 0.01   \n2) 5,041 .660 5 × 1000 + 4 × 10 + 1 × 1 + 6 × 0.1 + 6 × 0.01   \n3) 75,394.80 7 × 10000 + 5 × 1000 + 3 × 100 + 9 × 10 + 4 × 1 + 8 × 0.1   \n4) 7,678 .737  7 × 1000 + 6 × 100 + 7 × 10 + 8 × 1 + 7 × 0.1 + 3 × 0.01 + 7 × 0.001   \n5) 8,274 .727  8 × 1000 + 2 × 100 + 7 × 10 + 4 × 1 + 7 × 0.1 + 2 × 0.01 + 7 ×  \n0.001   \n6) 159,838 .5  1 × 100000 + 5 × 10000 + 9 × 1000 + 8 × 100 + 3 × 10 + 8 × 1  \n + 5 × 0.1   \n7) 85,322 .35  8 × 10000 + 5 × 1000 + 3 × 100 + 2 × 10 + 2 × 1 + 3 × 0.1 + 5  × 0.01   \n8) 30,248 .74  3 × 10000 + 2 × 100 + 4 × 10 + 8 × 1 + 7 × 0.1 + 4 × 0.01   \n9) 69,683 .91  6 × 10000 + 9 × 1000 + 6 × 100 + 8 × 10 + 3 × 1 + 9 × 0.1 + 1  × 0.01   \n10) 619,909 .8  6 × 100000 + 1 × 10000 + 9 × 1000 + 9 × 100 + 9 × 1 + 8 × 0.1  \n11) 4,586 .192  4 × 1000 + 5 × 100 + 8 × 10 + 6 × 1 + 1 × 0.1 + 9 × 0.01 + 2 × 0.001   \n12) 9,311 .849  9 × 1000 + 3 × 100 + 1 × 10 + 1 × 1 + 8 × 0.1 + 4 × 0.01 + 9 ×  \n0.001","cbCaikH5iGgHRdmm","https://ap.wps.com/l/cbCaikH5iGgHRdmm","pdf",58816,"English","# Decimals in Expanded Notation\n## Practice Problems\n## Answer Key","[{\"question\":\"What is the objective of this Grade 6 worksheet?\",\"answer\":\"The primary objective is to help students practice writing numbers containing decimals in expanded notation, where each digit is multiplied by its respective place value.\"},{\"question\":\"How are the numbers in this worksheet structured?\",\"answer\":\"The numbers range from thousands to hundred-thousands, including decimal components extending to the thousandths place, requiring students to expand both integer and fractional parts.\"},{\"question\":\"Does the document provide solutions for the problems?\",\"answer\":\"Yes, the document includes a comprehensive answer key that lists the expanded notation for each of the twelve problems provided in the worksheet.\"}]","Grade 6 Place Value Worksheet - Decimals in Expanded Notation | PDF"]