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 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.