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Understanding Expanded Notation for Decimal Numbers

In this lesson, you will learn how to read and write decimal numbers to the thousandths in expanded notation using base ten blocks. The value of a digit depends on its position within a number, so you can find the value by multiplying the digit by its place value. You will discover how to express numbers in expanded notation as the sum of the values of each digit, such as breaking down 2.486 into 2 + 0.4 + 0.08 + 0.006. By the end of this lesson, you will have a solid understanding of representing decimal numbers in expanded notation.

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Understanding Expanded Notation for Decimal Numbers

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  1. How do you represent decimal numbers in expanded notation?

  2. In this lesson you will learn how to read and write numbers to the thousandths in expanded notation by using base ten blocks.

  3. The value of a digit depends upon its position in a number. You can find the value of a digit by multiplying it by its place. 3, 3, 3, 3, 3, 8 8 0 8 8 0 0 4 4 4 0 1 0 0 1 (3 x 1,000) + (8 x 100) + (4 x 10) + (1 x 1)

  4. A number can be written in expanded notation by writing an expression that shows the sum of the values of each digit. 2.486 2.486 2.486 2.486 2.486 2 + 0.4 + 0.08 + 0.006 8 x 0.01 6 x 0.001 2 x 1 4 x 0.1

  5. A number can be written in expanded notation by writing an expression that shows the sum of the values of each digit. 4.032 4.032 4.032 4.032 4.032 1 1 1,000 100 4 + + 2 3 4 x 1 2 x 3 x 1,000 100

  6. In this lesson you have learned how to read and write numbers to the thousandths in expanded notation by using base ten blocks.

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