Learn on PengiSaxon Math, Intermediate 4Chapter 4: Lessons 31โ€“40, Investigation 4

Lesson 34: Writing Numbers Through Hundred Millions

In this Grade 4 lesson from Saxon Math Intermediate 4, students learn to read and write whole numbers through hundred millions using standard form, word form, and short word form. The lesson covers how to place commas correctly in seven-, eight-, and nine-digit numbers, use zeros as placeholders, and compare or order large numbers by place value. Practice includes converting between digit and word forms for numbers such as 12,345,678 and two million, three hundred thousand.

Section 1

๐Ÿ“˜ Writing Numbers Through Hundred Millions

New Concept

To write a whole number with seven, eight, or nine digits, we use another comma to indicate millions.

Whatโ€™s next

Next, youโ€™ll practice writing numbers in the millions using digits and words, and then compare their values.

Section 2

Whole-Number Place Values

Property

To write a whole number with seven to nine digits, use commas to separate groups of three digits, starting from the right. The first comma from the right marks the 'thousand' place, and the second comma marks the 'million' place, making large numbers easier to read.

Example

  1. 25,000,00025,000,000 is read as 'twenty-five million'.
  2. 3,750,0003,750,000 is read as 'three million, seven hundred fifty thousand'.
  3. 150,225,100150,225,100 is read as 'one hundred fifty million, two hundred twenty-five thousand, one hundred'.

Explanation

Think of commas as road signs for your numbers. The first one you pass yells 'THOUSAND!' and the second, even bigger one, shouts 'MILLION!' This system helps you read gigantic numbers without getting lost. It breaks them down into smaller, three-digit chunks, making a number like one hundred million way less scary than it looks. It's like a GPS for numbers!

Section 3

Writing numbers in words

Property

To write a number in words, first read the digits to the left of the millions comma and say 'million'. Next, read the three digits between the commas and say 'thousand'. Finally, read the last three digits to complete the number's name. It's a three-step reading process.

Example

  1. For 2514389625143896: First, place commas to get 25,143,89625,143,896. Then, write 'twenty-five million, one hundred forty-three thousand, eight hundred ninety-six'.
  2. For 307009000307009000: First, place commas to get 307,009,000307,009,000. Then, write 'three hundred seven million, nine thousand'.

Explanation

Ready to become a number translator? First, add your commas every three spots from the right. Read the number chunk before the 'millions' comma, say the word 'million,' then read the chunk before the 'thousands' comma and say 'thousand.' Finally, just read the last part. It's like telling a story, one chunk at a time, with commas as your chapter breaks!

Section 4

Writing numbers in digits

Property

When writing a number from its word form, use the words 'million' and 'thousand' as signals to place your commas. Start with the millions, then thousands, then the final three digits. Fill any empty sections with zeros to ensure each section (except the very first) has three digits.

Example

  1. 'Fifty-two million' is written as 52,000,00052,000,000.
  2. 'Six million, three hundred fifty thousand' is written as 6,350,0006,350,000.
  3. 'Two hundred ten million, seven hundred' is written as 210,000,700210,000,700.

Explanation

Think of it as building a number with blocks. The word 'million' tells you where to put the first big comma, and 'thousand' shows where the next one goes. Just write the numbers you hear in their correct sections. If a section is empty, like no hundreds or tens are mentioned, fill those spots with zeros to hold their place correctly!

Book overview

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

Continue this chapter

Chapter 4: Lessons 31โ€“40, Investigation 4

  1. Lesson 1

    Lesson 31: Word Problems About Comparing

  2. Lesson 2

    Lesson 32: Multiplication Facts: 9s, 10s, 11s, 12s

  3. Lesson 3

    Lesson 33: Writing Numbers Through Hundred Thousands

  4. Lesson 4Current

    Lesson 34: Writing Numbers Through Hundred Millions

  5. Lesson 5

    Lesson 35: Naming Mixed Numbers and Money

  6. Lesson 6

    Lesson 36: Fractions of a Dollar

  7. Lesson 7

    Lesson 37: Reading Fractions and Mixed Numbers from a Number Line

  8. Lesson 8

    Lesson 38: Multiplication Facts (Memory Group)

  9. Lesson 9

    Lesson 39: Reading an Inch Scale to the Nearest Fourth, Activity Make a Ruler and Measure

  10. Lesson 10

    Lesson 40: Capacity

  11. Lesson 11

    Investigation 4A: Tenths and Hundredths

  12. Lesson 12

    Investigation 4B: Relating Fractions and Decimals

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

๐Ÿ“˜ Writing Numbers Through Hundred Millions

New Concept

To write a whole number with seven, eight, or nine digits, we use another comma to indicate millions.

Whatโ€™s next

Next, youโ€™ll practice writing numbers in the millions using digits and words, and then compare their values.

Section 2

Whole-Number Place Values

Property

To write a whole number with seven to nine digits, use commas to separate groups of three digits, starting from the right. The first comma from the right marks the 'thousand' place, and the second comma marks the 'million' place, making large numbers easier to read.

Example

  1. 25,000,00025,000,000 is read as 'twenty-five million'.
  2. 3,750,0003,750,000 is read as 'three million, seven hundred fifty thousand'.
  3. 150,225,100150,225,100 is read as 'one hundred fifty million, two hundred twenty-five thousand, one hundred'.

Explanation

Think of commas as road signs for your numbers. The first one you pass yells 'THOUSAND!' and the second, even bigger one, shouts 'MILLION!' This system helps you read gigantic numbers without getting lost. It breaks them down into smaller, three-digit chunks, making a number like one hundred million way less scary than it looks. It's like a GPS for numbers!

Section 3

Writing numbers in words

Property

To write a number in words, first read the digits to the left of the millions comma and say 'million'. Next, read the three digits between the commas and say 'thousand'. Finally, read the last three digits to complete the number's name. It's a three-step reading process.

Example

  1. For 2514389625143896: First, place commas to get 25,143,89625,143,896. Then, write 'twenty-five million, one hundred forty-three thousand, eight hundred ninety-six'.
  2. For 307009000307009000: First, place commas to get 307,009,000307,009,000. Then, write 'three hundred seven million, nine thousand'.

Explanation

Ready to become a number translator? First, add your commas every three spots from the right. Read the number chunk before the 'millions' comma, say the word 'million,' then read the chunk before the 'thousands' comma and say 'thousand.' Finally, just read the last part. It's like telling a story, one chunk at a time, with commas as your chapter breaks!

Section 4

Writing numbers in digits

Property

When writing a number from its word form, use the words 'million' and 'thousand' as signals to place your commas. Start with the millions, then thousands, then the final three digits. Fill any empty sections with zeros to ensure each section (except the very first) has three digits.

Example

  1. 'Fifty-two million' is written as 52,000,00052,000,000.
  2. 'Six million, three hundred fifty thousand' is written as 6,350,0006,350,000.
  3. 'Two hundred ten million, seven hundred' is written as 210,000,700210,000,700.

Explanation

Think of it as building a number with blocks. The word 'million' tells you where to put the first big comma, and 'thousand' shows where the next one goes. Just write the numbers you hear in their correct sections. If a section is empty, like no hundreds or tens are mentioned, fill those spots with zeros to hold their place correctly!

Book overview

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

Continue this chapter

Chapter 4: Lessons 31โ€“40, Investigation 4

  1. Lesson 1

    Lesson 31: Word Problems About Comparing

  2. Lesson 2

    Lesson 32: Multiplication Facts: 9s, 10s, 11s, 12s

  3. Lesson 3

    Lesson 33: Writing Numbers Through Hundred Thousands

  4. Lesson 4Current

    Lesson 34: Writing Numbers Through Hundred Millions

  5. Lesson 5

    Lesson 35: Naming Mixed Numbers and Money

  6. Lesson 6

    Lesson 36: Fractions of a Dollar

  7. Lesson 7

    Lesson 37: Reading Fractions and Mixed Numbers from a Number Line

  8. Lesson 8

    Lesson 38: Multiplication Facts (Memory Group)

  9. Lesson 9

    Lesson 39: Reading an Inch Scale to the Nearest Fourth, Activity Make a Ruler and Measure

  10. Lesson 10

    Lesson 40: Capacity

  11. Lesson 11

    Investigation 4A: Tenths and Hundredths

  12. Lesson 12

    Investigation 4B: Relating Fractions and Decimals