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Base ten blocks

Base ten blocks, also known as Dienes blocks after popularizer Zoltán Dienes, are a mathematical manipulative used by students to practice counting and elementary arithmetic and develop number sense in the context of the decimal place-value system as a more concrete and direct representation than written Hindu–Arabic numerals. The three-dimensional blocks are made of a solid material such as plastic or wood and generally come in four sizes, each representing a power of ten used as a place in the decimal system: units, longs, flats and blocks. There are also computer programs available that simulate base ten blocks.

Use in mathematics instruction
Base ten blocks are popular in primary-school mathematics instruction, especially with topics that students struggle with such as multiplication. They are used by teachers to model concepts, as well as by students to reinforce their own understanding. Physically manipulating objects is an important technique used in learning basic mathematic principles, particularly at the early stages of cognitive development. The use of base ten blocks, as with other mathematical manipulatives, usually decreases as students move into higher grades. The blocks can be used to teach carrying and borrowing in multi-digit arithmetic via "regrouping" (trading one block for ten of a smaller size, or vice versa). If the magnitude of the blocks is reinterpreted (for instance by taking the 1000-cube block to represent 1), then the blocks can be used to teach decimal fractions. == See also ==
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