**
An updated version of this lesson plan is available.
**

This lesson has been archived and replaced. Click on the hyperlink above to access a newer version of the lesson.

# 8. Understand how multiplication and division by 10 relate to place value (C)

Lesson objective: Understand that multiplying a number by 10 shifts the position of its digits one place to the left, and dividing a number by 10 shifts the position of its digits one place to the right.

Students bring prior knowledge of relationship between the digits within a number from 5.NBT.A.1. This prior knowledge is extended to the new topic as students learn that there is a pattern in the way the digits of a number shift when you multiply or divide the number by the powers of 10. A conceptual challenge students may encounter is that the digits of a number shift place values while the decimal point remains in the same position.

The concept is developed through work with base ten blocks and place value chart, which serves as a visual model and supports the idea of the consistency of numerical system.

This work helps students deepen their understanding of operations because they will multiply a number by 10 shifting the position of its digits one place to the left, and divide a number by 10 shifting the position of its digits one place to the right.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they discern the patterns in multiplication and division of a number by the powers of 10.

**Key vocabulary:**

- digit
- power of 10
- product
- quotient
- value of a digit

**Special materials needed:**

- base ten blocks