5.5 Place Value Patterns and Decimal Operations

Unit Goals

  • Students build from place value understanding in grade 4 to recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and $\frac{1}{10}$ of what it represents in the place to its left. They use this place value understanding to round, compare, order, add, subtract, multiply, and divide decimals.

Section A Goals

  • Compare, round and order decimals through the thousandths place based on the value of the digits in each place.
  • Read, write, and represent decimals to the thousandths place, including in expanded form.

Section B Goals

  • Add and subtract decimals to the hundredths using strategies based on place value.

Section C Goals

  • Multiply decimals with products resulting in the hundredths using place value reasoning and properties of operations.

Section D Goals

  • Divide decimals with quotients resulting in the hundredths using place value reasoning and properties of operations.
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Glossary Entries

  • area

    The number of square units that cover a flat figure without gaps or overlaps.


  • cubic unit
    A unit cube with side lengths that are standard measurement units that is used to measure volume.

  • rectangular prism
    A solid figure which has six faces that are rectangles.

  • unit cube
    A cube whose sides are 1 unit long, used to measure volume.

  • volume
    The number of unit cubes that fill a solid figure without gaps or overlap.