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Place Value: Key to Making Sense of Numbers. EDN 322. Four characteristics of our Hindu-Arabic Number System. Place value – The position of the digit represents its value Base of ten – Base meaning a collection.
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Four characteristics of our Hindu-Arabic Number System • Place value – The position of the digit represents its value • Base of ten – Base meaning a collection. • Use of zero – A symbol for zero exists and allows us to represent symbolically the absence of something. • Additive property – Numbers can be summed with respect to place value
Modeling • Hands-on experience with manipulatives (models) is essential in establishing and developing the concept of place value. All models are based on groups of 10. • Proportional models • Nonproportional models
Developing Place Value • Counting and Patterns • Regrouping and Renaming • Estimation and Rounding