Place Value

There are two ways to have students consolidate their understanding of place value: explicitly and implicitly.

Explicitly teaching place value has students group material in groups of ten and a hundred, and make the connection to standard notation and expanded form. For example, “I made 5 groups of ten beans with 4 left over, so that’s 10, 20, 30, 40, 50 and 4 more, so 54”.

Implicitly teaching place value uses number splitting on the decades in addition and subtraction, or multiplication and division in later years. Some research suggests the standard algorithms for addition and subtraction actually decrease students’ understanding of place value.

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