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Place Value with Decimals

Use place-value ideas and visual models to read, compare, and round decimals through thousandths.

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Beginner 15–20 minutes Number & Operations in Base Ten
Number & Operations in Base Ten Page 13 of 15
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At a Glance

Place Value with Decimals
Binder SectionNumber & Operations in Base Ten
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesNone
Essential Question

How can place value and a clear model help us read, compare, and round decimals through thousandths?

Visual Model
4Thousands 3Hundreds 2Tens 7Ones

4,327 = 4,000 + 300 + 20 + 7

Goals

Learning Targets

  • I can name the value of each digit.
  • I can choose a place-value model or strategy that fits the problem.
  • I can solve and check my answer.
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Interactive Vocabulary

Reveal one step at a time

Worked Examples

Example 1

Compare 4.307 and 4.37

1

Align the decimal points and compare equal places.

Notice and correct

Common Misconceptions

Reading a digit without naming its place

Say both the digit and its value.

Misaligning places

Line up equal place values, especially decimal points.

Regrouping without explaining the trade

State which 10 smaller units become 1 larger unit.

Skipping a reasonableness check

Estimate before or after calculating.

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Warm-Up Guided Independent Challenge
1
Quick Start

Warm-Up

Warm-up 1

Directions: Use a quick place-value model. Label what each digit or quantity means.

Write six and forty-two hundredths as a decimal.

Build the number by place valueUse the picture to organize what you know before you solve.

Choose how you want to work or answer.

2
We Do

Guided Practice

Guided 1

Directions: Follow each step. Build or draw the model, write the calculation, and explain each place-value move.

Round 8.746 to the nearest tenth.

Plan your solutionRecord what you know, choose a model or rule, and solve without revealing the final answer.
What do Iknow?Which rulefits?What must Ifind?

Choose how you want to work or answer.

3
You Do

Independent Practice

Independent 1

Directions: Choose a model or algorithm, show your work, and enter your final answer.

Order 0.58, 0.508, and 0.85 from least to greatest.

Organize 0.58 by place valueUse the picture to organize what you know before you solve.

Choose how you want to work or answer.

4
Stretch Your Thinking

Challenge & Real-World Practice

🧩 Challenge

Write three different decimals that round to 5.24 to the nearest hundredth.

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Success Criteria

Before you begin, I can…

  • I can explain the value of a digit using correct vocabulary.
  • I can use a model and an efficient calculation strategy.
  • I can check whether my answer is reasonable.
1
Question 1

Why must digits be aligned when adding?

2
Question 2

What does regrouping mean?

3
Question 3

Which check is useful after calculating?

4
Question 4

A digit one place to the left is how many times the value?

5
Question 5

Why use a visual model?

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Next Lesson: Multi-Digit Multiplication and Division → Back to Binder Topics

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