# 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.

### 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.