Q:

How do you use a place value table when teaching math?

A:

Place value tables are used to help determine the place of a one digit as part of a whole number. They are also used to learn to write a standard whole number with correct comma placement. Additionally, place value tables teach students how to write numbers in expanded forms.

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Place value tables can account for whole numbers reaching into the trillions. They are designed to be read left to right, with the larger numbers coming first, and its categories — trillions, millions, thousands and ones — are broken into separate distinctions of hundreds, tens and ones. There is a blank row between the category and subcategory rows where the number in question can be written.

When using a place value table to help determine the place of one digit, simply write the number in the blank row. Only one digit can fit in any block. For example, when writing the number 2,564, the number 2 is placed in the one thousand's section.

To teach writing numbers in standard form, a number is derived from a word problem. The number is written into the correct spots on the place value table, and the division between the categories indicates where commas are placed to achieve correct standard form.

Numbers can be inserted into a place value table to determine their expanded form. The expanded form of the number includes the representation of each place and its value expressed with words instead of numbers. For example, the number 200,000,000 would be written as two hundred millions.

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