Learn on PengiSaxon Math, Intermediate 4Chapter 1: Lessons 1–10, Investigation 1

Lesson 4: Place Value, Activity Comparing Money Amounts

In this Grade 4 lesson from Saxon Math Intermediate 4, students learn place value for three-digit numbers by using $100, $10, and $1 bill manipulatives to identify the ones, tens, and hundreds places. Students practice writing and comparing money amounts such as $203 and $230 to understand how a digit's position determines its value. The lesson connects the base-ten number system to real-world money, helping students recognize place value in numbers up to the hundreds place.

Section 1

📘 Place Value

New Concept

The value of each place is determined by its position.

What’s next

Next, you’ll use diagrams and money manipulatives to build and compare three-digit numbers, putting the power of place value into practice.

Section 2

Place Value

Property

The value of each digit in a number is determined by its position. A number like 324324 has a digit in the ones place, the tens place, and the hundreds place.

Examples

In the number 523523, the 55 represents 55 hundreds, the 22 represents 22 tens, and the 33 represents 33 ones.
The number 489489 can be shown as 44 hundred-dollar bills, 88 ten-dollar bills, and 99 one-dollar bills.
The number 617617 is composed of a 66 in the hundreds place, a 11 in the tens place, and a 77 in the ones place.

Explanation

Think of it like building with money! A one-dollar bill is different from a ten-dollar bill. A digit’s position tells you if you are dealing with ones, tens, or hundreds. It is all about location, location, location!

Section 3

The Power of Zero

Property

A zero in a number acts as a placeholder, indicating that there is no value in that specific place. For example, the zero in 203203 dollars represents an absence of tens.

Examples

The amount 203203 dollars means you have 22 hundred-dollar bills and 33 one-dollar bills, with 00 ten-dollar bills.
The amount 230230 dollars means you have 22 hundred-dollar bills and 33 ten-dollar bills, with 00 one-dollar bills.
Therefore, 230230 dollars is greater than 203203 dollars because three tens are more valuable than three ones.

Explanation

Zero is a superhero that holds a spot open! In 203203, it shouts, “No tens here!” But in 230230, it declares, “No ones!” This humble hero ensures all other digits stay in their rightful places.

Section 4

Identifying Digit Places

Property

To identify a digit's place value, count its position from the right. The sequence is ones, then tens, then hundreds. The third position from the right is always the hundreds place.

Examples

In the number 753753, the digit 77 is in the third position from the right, which is the hundreds place.
In the number 6565, the digit 66 is in the second position from the right, making it the tens place.
In the number 623623, the digit 66 is in the third position from the right, so it is in the hundreds place.

Explanation

It is like finding your seat in a theater! The first seat on the right is 'ones,' the next is 'tens,' and the third is 'hundreds.' Just count from the right to discover each digit's mighty value.

Book overview

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

Continue this chapter

Chapter 1: Lessons 1–10, Investigation 1

  1. Lesson 1

    Lesson 1: Review of Addition

  2. Lesson 2

    Lesson 2: Missing Addends

  3. Lesson 3

    Lesson 3: Sequences

  4. Lesson 4Current

    Lesson 4: Place Value, Activity Comparing Money Amounts

  5. Lesson 5

    Lesson 5: Ordinal Numbers, Months of the Year

  6. Lesson 6

    Lesson 6: Review of Subtraction

  7. Lesson 7

    Lesson 7: Writing Numbers Through 999

  8. Lesson 8

    Lesson 8: Adding Money

  9. Lesson 9

    Lesson 9: Adding with Regrouping

  10. Lesson 10

    Lesson 10: Even and Odd Numbers

  11. Lesson 11

    Lesson 11: Investigation 1 Number Lines, Activity Drawing Number Lines

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

📘 Place Value

New Concept

The value of each place is determined by its position.

What’s next

Next, you’ll use diagrams and money manipulatives to build and compare three-digit numbers, putting the power of place value into practice.

Section 2

Place Value

Property

The value of each digit in a number is determined by its position. A number like 324324 has a digit in the ones place, the tens place, and the hundreds place.

Examples

In the number 523523, the 55 represents 55 hundreds, the 22 represents 22 tens, and the 33 represents 33 ones.
The number 489489 can be shown as 44 hundred-dollar bills, 88 ten-dollar bills, and 99 one-dollar bills.
The number 617617 is composed of a 66 in the hundreds place, a 11 in the tens place, and a 77 in the ones place.

Explanation

Think of it like building with money! A one-dollar bill is different from a ten-dollar bill. A digit’s position tells you if you are dealing with ones, tens, or hundreds. It is all about location, location, location!

Section 3

The Power of Zero

Property

A zero in a number acts as a placeholder, indicating that there is no value in that specific place. For example, the zero in 203203 dollars represents an absence of tens.

Examples

The amount 203203 dollars means you have 22 hundred-dollar bills and 33 one-dollar bills, with 00 ten-dollar bills.
The amount 230230 dollars means you have 22 hundred-dollar bills and 33 ten-dollar bills, with 00 one-dollar bills.
Therefore, 230230 dollars is greater than 203203 dollars because three tens are more valuable than three ones.

Explanation

Zero is a superhero that holds a spot open! In 203203, it shouts, “No tens here!” But in 230230, it declares, “No ones!” This humble hero ensures all other digits stay in their rightful places.

Section 4

Identifying Digit Places

Property

To identify a digit's place value, count its position from the right. The sequence is ones, then tens, then hundreds. The third position from the right is always the hundreds place.

Examples

In the number 753753, the digit 77 is in the third position from the right, which is the hundreds place.
In the number 6565, the digit 66 is in the second position from the right, making it the tens place.
In the number 623623, the digit 66 is in the third position from the right, so it is in the hundreds place.

Explanation

It is like finding your seat in a theater! The first seat on the right is 'ones,' the next is 'tens,' and the third is 'hundreds.' Just count from the right to discover each digit's mighty value.

Book overview

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

Continue this chapter

Chapter 1: Lessons 1–10, Investigation 1

  1. Lesson 1

    Lesson 1: Review of Addition

  2. Lesson 2

    Lesson 2: Missing Addends

  3. Lesson 3

    Lesson 3: Sequences

  4. Lesson 4Current

    Lesson 4: Place Value, Activity Comparing Money Amounts

  5. Lesson 5

    Lesson 5: Ordinal Numbers, Months of the Year

  6. Lesson 6

    Lesson 6: Review of Subtraction

  7. Lesson 7

    Lesson 7: Writing Numbers Through 999

  8. Lesson 8

    Lesson 8: Adding Money

  9. Lesson 9

    Lesson 9: Adding with Regrouping

  10. Lesson 10

    Lesson 10: Even and Odd Numbers

  11. Lesson 11

    Lesson 11: Investigation 1 Number Lines, Activity Drawing Number Lines