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We have been learning that numbers can be represented on a place value chart using base ten blocks. Generally, we organize the blocks so that we can easily recognize and say the number. This involves grouping ones into tens, tens into hundreds and so on, so that no place has more than 9 blocks in it. That is the case with the top chart in the problem below. We see 3 thousands, 3 hundreds, 3 tens and 3 ones, so we say three thousand three hundred thirty three (3333). This does not mean, however, that numbers can't be represented differently. The bottom chart, for example, shows 3333 as well. 1 hundred was changed into 10 tens and 1 ten has become 10 ones. This is known as regrouping, and the ability to construct and deconstruct numbers in this way is important as we move toward solving problems involving addition, subtraction, multiplication and division.
The button below the picture will take you to a link. It is an activity that challenges students to recognize different ways to represent the same number. Try a few together and see how you do! |
AuthorMr. Long Archives
March 2019
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