Lesson 3 Thousandths in Expanded Form

    • Let’s represent thousandths.

Warm-up Which One Doesn’t Belong: Different Ways to Express a Decimal Number

Which one doesn’t belong?

Activity 1 Expanded Form

Problem 1

  1. Explain or show why the shaded region represents .

    Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. 41 squares shaded. 1 square partitioned into 10 rows, 9 shaded.

  2. What decimal number represents the shaded region?

Problem 2

  1. Shade the grid to represent .

    Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. No squares shaded. 

  2. Write the number  in decimal form.

Problem 3

Mai says that the decimal 0.105 represents . Do you agree with Mai? Explain or show your reasoning.

Activity 2 Decimal Numbers in Numerous Ways

Represent each number in as many ways as you can.

  1. Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. 74 squares shaded. 1 square partitioned into 10 rows, 2 shaded.

  2. Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. No squares shaded.

  3.  one hundred thirty-six thousandths

    Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. No squares shaded.

  4. Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. No squares shaded.

Practice Problem

Problem 1

Write the decimal 0.418 as a fraction, in words, and in expanded form.