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Progressions for the Common CoreState Standards in Mathematics (draft)c The Common Core Standards Writing Team21 April 2012 Draft, 4/21/2012, comment 5, Number andOperations in Base TenOverviewStudents work in the base-ten system is intertwined with their workon counting and cardinality, and with the meanings and propertiesof addition, subtraction, multiplication, and division. Work in thebase-ten system relies on these meanings and properties, but alsocontributes to deepening students understanding of base-ten system is a remarkably efficient and uni-form system for systematically representing all numbers. Using onlythe ten digits0,1,2,3,4,5,6,7,8,9, every number can be repre-sented as a string of digits, where each digit represents a value thatdepends on its place in the string. The relationship between valuesrepresented by the places in the base-ten system is the same forwhole numbers and decimals: the value represented by each placeis always10 times the value represented by the place to its imme-diate right.
Progressions for the Common Core State Standards in Mathematics (draft) c The Common Core Standards Writing Team 21 April 2012 Draft, 4/21/2012, comment at commoncoretools.wordpress.com. 1
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