Learn on PengiPengi Math (Grade 5)Chapter 1: Palace Value and Powers of 10

Lesson 4: Representing Decimals in Multiple Forms

In this Grade 5 Pengi Math lesson from Chapter 1: Place Value and Powers of 10, students learn to represent decimals in standard, expanded, unit, and word forms. They practice decomposing decimals into place value parts and connecting decimal representations to their equivalent fraction forms. This multi-form approach helps students understand the value of each digit in a decimal number.

Section 1

Representing Multi-Digit Decimals in Various Forms

Property

A number's value can be decomposed into the sum of its place value parts and composed back into standard form. These different representations (standard, expanded, unit, and word form) are all equivalent ways to express the same quantity.

Examples

Book overview

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Chapter 1: Palace Value and Powers of 10

  1. Lesson 1

    Lesson 1: Extending Place Value to Decimals

  2. Lesson 2

    Lesson 2: Representing Numbers Using Powers of 10

  3. Lesson 3

    Lesson 3: Multiplying and Dividing Whole Numbers by Powers of 10

  4. Lesson 4Current

    Lesson 4: Representing Decimals in Multiple Forms

  5. Lesson 5

    Lesson 5: Equivalent, Comparing, and Ordering Decimals

  6. Lesson 6

    Lesson 6: Rounding Decimals to Any Place

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Representing Multi-Digit Decimals in Various Forms

Property

A number's value can be decomposed into the sum of its place value parts and composed back into standard form. These different representations (standard, expanded, unit, and word form) are all equivalent ways to express the same quantity.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 1: Palace Value and Powers of 10

  1. Lesson 1

    Lesson 1: Extending Place Value to Decimals

  2. Lesson 2

    Lesson 2: Representing Numbers Using Powers of 10

  3. Lesson 3

    Lesson 3: Multiplying and Dividing Whole Numbers by Powers of 10

  4. Lesson 4Current

    Lesson 4: Representing Decimals in Multiple Forms

  5. Lesson 5

    Lesson 5: Equivalent, Comparing, and Ordering Decimals

  6. Lesson 6

    Lesson 6: Rounding Decimals to Any Place