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Recognize tenths in models

A tenth is one of ten equal parts of a whole, written as 110\frac{1}{10} or 0.10.1; models such as partitioned wholes, decimal grids, and number lines show that tenths describe both part–whole relationships and positions between whole numbers. The understanding includes identifying and interpreting several tenths, while distinguishing equal tenths from unequal parts and recognizing that tenths are not hundredths or more finely subdivided decimals.

Detailed Explanation: Recognize tenths in models

A tenth is one of 1010 equal parts of a whole.

If one whole is divided into 1010 equal parts, each part is:

110=0.1\frac{1}{10}=0.1

Example

A rectangle is divided into 1010 equal parts. 44 parts are shaded.

  1. Check the parts.
    There are 1010 equal parts, so each part is one tenth.

  2. Count the shaded parts.
    44 parts are shaded.

  3. Write the amount as a fraction.
    The shaded amount is:

410\frac{4}{10}
  1. Write the amount as a decimal.
    Four tenths is:

0.40.4

So, the model shows four tenths, or 410\frac{4}{10}, or 0.40.4.

Remember: the parts must be equal. If the whole is split into parts of different sizes, those parts are not all tenths.

Learn by doing: Recognize tenths in models

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Decimal Concept Image - Picture to Decimal - Tenths


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