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

Lesson 4: Comparing Multi-Digit Numbers Place by Place

In this Grade 4 lesson from Pengi Math Chapter 1, students learn to compare multi-digit numbers by analyzing the value of digits place by place, starting from the greatest place value. They practice recording comparison results using the symbols greater than, equal to, and less than.

Section 1

Comparing Multi-Digit Numbers

Property

To compare two numbers, first check the number of digits. The number with more digits is greater. If they have the same number of digits, compare the digits from left to right, starting with the largest place value, until you find a place where the digits are different.

Examples

Section 2

Recording Multi-Digit Numbers Comparisons

Property

To record the result of a comparison between two numbers, aa and bb, we use the following symbols:

  • a<ba < b means "aa is less than bb".
  • a>ba > b means "aa is greater than bb".
  • a=ba = b means "aa is equal to bb".

Examples

Book overview

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Chapter 1: Place Value Fundamentals and Estimation

  1. Lesson 1

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

  2. Lesson 2

    Lesson 2: Reading and Writing Large Numbers

  3. Lesson 3

    Lesson 3: Representing Multi-Digit Numbers in Different Forms

  4. Lesson 4Current

    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

Comparing Multi-Digit Numbers

Property

To compare two numbers, first check the number of digits. The number with more digits is greater. If they have the same number of digits, compare the digits from left to right, starting with the largest place value, until you find a place where the digits are different.

Examples

Section 2

Recording Multi-Digit Numbers Comparisons

Property

To record the result of a comparison between two numbers, aa and bb, we use the following symbols:

  • a<ba < b means "aa is less than bb".
  • a>ba > b means "aa is greater than bb".
  • a=ba = b means "aa is equal to bb".

Examples

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 2

    Lesson 2: Reading and Writing Large Numbers

  3. Lesson 3

    Lesson 3: Representing Multi-Digit Numbers in Different Forms

  4. Lesson 4Current

    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