Unit 16: Whole-Number Arithmetic Fluency

Day 2 of 30

Understand place value through millions

3-5Mathematics

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Learning Objective

Students will be able to understand place value through millions.

Today's Lesson

In this lesson, we'll explore how to understand place value through millions. Mathematical thinking develops logical reasoning and problem-solving abilities.

Place value means the value of a digit depends on its position in the number. In the number 23, the "2" is in the tens place (worth 20), and the "3" is in the ones place (worth 3). So 23 = 20 + 3. This system helps us write any number, no matter how large, using just ten digits: 0-9.

As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.

Take notes on key points and make connections to what you've already learned in previous lessons.

Key Terms
Problem

A mathematical question requiring analysis and solution

Solution

The result obtained by solving a problem

Activities
Instructions
1. Review the example problems for understand place value through millions. 2. Identify the steps and strategies used. 3. Work through practice problems independently. 4. Compare solutions with a partner.
Materials Needed
  • Notebook
  • Calculator (if needed)
  • Graph paper
Practice Problems
1

In the number 3,456, what is the value of the 4?

Hint: The 4 is in the hundreds place.
2

Write 2 thousands, 3 hundreds, 5 tens, 8 ones as a number.

Hint: Put each digit in its place.
3

What number has 7 in the tens place and 2 in the ones place?

Hint: The number is in the 70s.

Teaching Tip

For this age group: Balance direct instruction with collaborative activities. Allow students to explain their thinking and make connections to prior knowledge when exploring understand place value through millions.

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