Learn on PengiPengi Math (Grade 4)Chapter 1: Place Value Fundamentals and Estimation

Lesson 2: Reading and Writing Large Numbers

In this Grade 4 Pengi Math lesson, students learn to read and write large numbers using periods and commas to separate and name place value groups. They analyze the value of specific digits based on their position within a number and explore unbundling as a model for understanding division by 10. This lesson is part of Chapter 1: Place Value Fundamentals and Estimation.

Section 1

Name large numbers using periods and commas

Property

Large numbers are read by grouping digits into periods of three, starting from the right, with commas separating each period. Each period has a name (e.g., million, thousand). Read the number within each period from left to right, followed by its name, omitting the name for the ones period.

123Millions,456Thousands,789Ones \underbrace{123}_{\text{Millions}} , \underbrace{456}_{\text{Thousands}} , \underbrace{789}_{\text{Ones}}

Examples

  • The number 452,198452,198 is read as "four hundred fifty-two thousand, one hundred ninety-eight". You read the number in the thousands period (452452) and then the number in the ones period (198198).

Section 2

Write Whole Numbers from Words

Property

We will now reverse the process and write a number given in words as digits.

How to use place value to write a whole number:

  1. Identify the words that indicate periods (e.g., million, thousand). Remember the ones period is never named.
  2. Draw three blanks for each period to help visualize the places. Separate periods with commas.
  3. Name the number in each period and place the digits in the correct place value position, using zeros as placeholders where necessary.

Examples

  • 'Twenty-seven million, five hundred three thousand, ninety-one' is written as 27,503,09127,503,091. Notice the zeros used as placeholders.
  • 'Eight billion, forty-two million, six hundred thousand, two hundred five' is written as 8,042,600,2058,042,600,205.
  • 'Ninety-four thousand, fifty-three' is written as 94,05394,053.

Book overview

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

Continue this chapter

Chapter 1: Place Value Fundamentals and Estimation

  1. Lesson 1

    Lesson 1: The Base-Ten System's Ten-Times Relationship

  2. Lesson 2Current

    Lesson 2: Reading and Writing Large Numbers

  3. Lesson 3

    Lesson 3: Representing Multi-Digit Numbers in Different Forms

  4. Lesson 4

    Lesson 4: Comparing Multi-Digit Numbers Place by Place

  5. Lesson 5

    Lesson 5: Comparing and Ordering Numbers in Various Forms

  6. Lesson 6

    Lesson 6: Rounding Multi-Digit Numbers to Any Place Value

  7. Lesson 7

    Lesson 7: Estimation for Sums, Differences, and Reasonableness

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Name large numbers using periods and commas

Property

Large numbers are read by grouping digits into periods of three, starting from the right, with commas separating each period. Each period has a name (e.g., million, thousand). Read the number within each period from left to right, followed by its name, omitting the name for the ones period.

123Millions,456Thousands,789Ones \underbrace{123}_{\text{Millions}} , \underbrace{456}_{\text{Thousands}} , \underbrace{789}_{\text{Ones}}

Examples

  • The number 452,198452,198 is read as "four hundred fifty-two thousand, one hundred ninety-eight". You read the number in the thousands period (452452) and then the number in the ones period (198198).

Section 2

Write Whole Numbers from Words

Property

We will now reverse the process and write a number given in words as digits.

How to use place value to write a whole number:

  1. Identify the words that indicate periods (e.g., million, thousand). Remember the ones period is never named.
  2. Draw three blanks for each period to help visualize the places. Separate periods with commas.
  3. Name the number in each period and place the digits in the correct place value position, using zeros as placeholders where necessary.

Examples

  • 'Twenty-seven million, five hundred three thousand, ninety-one' is written as 27,503,09127,503,091. Notice the zeros used as placeholders.
  • 'Eight billion, forty-two million, six hundred thousand, two hundred five' is written as 8,042,600,2058,042,600,205.
  • 'Ninety-four thousand, fifty-three' is written as 94,05394,053.

Book overview

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

Continue this chapter

Chapter 1: Place Value Fundamentals and Estimation

  1. Lesson 1

    Lesson 1: The Base-Ten System's Ten-Times Relationship

  2. Lesson 2Current

    Lesson 2: Reading and Writing Large Numbers

  3. Lesson 3

    Lesson 3: Representing Multi-Digit Numbers in Different Forms

  4. Lesson 4

    Lesson 4: Comparing Multi-Digit Numbers Place by Place

  5. Lesson 5

    Lesson 5: Comparing and Ordering Numbers in Various Forms

  6. Lesson 6

    Lesson 6: Rounding Multi-Digit Numbers to Any Place Value

  7. Lesson 7

    Lesson 7: Estimation for Sums, Differences, and Reasonableness