In this unit, students will further their understanding of the relationship between the values of the digits within a number. Students will understand that when they multiply or divide a number with a decimal by the power of 10, the digits shift place values. This unit deepens students’ understanding of reading and writing decimals, now including thousandths. Later work in the base-ten system relies on the meaning and properties of operations as well as comparing decimals.

**Key Concepts:**

- In numbers, digits represent \({1 \over 10}\) of what they represent in the place to the left.
- When the place value extends to thousandths, the structure does not change.
- Multiplying a number by a given power of 10 shifts the position of its digits that many places to the left, and dividing a number by a power 10 shifts the position of its digits that many places to the right.

**Prior Knowledge Needed:**

- Recognize that in a multi-digit whole number, a digit in a given place represents ten times as much as the digit in the place to its right. (Grade 4, Unit 4; 4.NBT.A.1)
- Use decimal notation for fractions with denominators 10 or 100. (Grade 4, Unit 4; 4.NBT.C.6 )

**Units on the Horizon:**

- Compare and round decimals (Grade 5, Unit 6: 5.NBT.A.3b, 5.NBT.A.4)

## Lessons in this unit have been temporarily archived as they undergo maintenance work.

## Lessons