🔢 MathGrade 4Lesson 1
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Read and Write Numbers to 1,000,000

How to use: Print the PDF before you call your child. Read the lesson once together and talk it through, then the exercises on paper. Correct together with the answer key and the Parent checklist. The next day, your child redoes this lesson here on screen (about 10 minutes) to review it and save progress.

Learning Objectives

  • 1Read and write numbers up to 1,000,000 in standard form
  • 2Write numbers up to 1,000,000 in word form
  • 3Write numbers up to 1,000,000 in expanded form
  • 4Identify the value of each digit using a place-value chart
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Mini Lesson

Numbers up to one million appear in populations, distances, and large data sets. Every number can be written three ways: standard form (digits only), word form (written-out words), and expanded form (each place value shown as an addition).

The Place-Value Chart to 1,000,000

  • The seven place values from right to left: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions.
  • Each place is 10 times greater than the place to its right.
  • Use commas to separate every group of three digits: 345,206.

Standard Form

  • Write the digits in order from greatest place to least.
  • Insert a comma after every third digit from the right: 1,234,567.
  • Example: three hundred forty-five thousand, two hundred six → 345,206.

Word Form

  • Name the millions group, then the thousands group, then the hundreds group.
  • Use a comma and the word "thousand" after the thousands group: "forty-five thousand, two hundred six."
  • Zero in any place is not spoken: 345,206 has no tens, so tens are not named.

Expanded Form

  • Break the number into the value of each non-zero digit and add them.
  • 345,206 → 300,000 + 40,000 + 5,000 + 200 + 6.
  • Skip any place whose digit is zero — no zero addends.
Place-Value Chart to 1,000,000Place-Value Chart to 1,000,000MillionsH-ThouT-ThouThousandsHundredsTensOnes10000001,000,000one millionEach place is 10× greater than the place to its right.
Three ways to write 345,206Three Ways to Write 345,206Standard Form345,206Word Formthree hundred forty-fivethousand, two hundred sixExpanded Form300,000 + 40,000 + 5,000+ 200 + 6No tens digit: zero tens are not writtenin expanded form.
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Tip: group digits in threes from the right, then insert commas. Read each group (millions, thousands, then the rest) separately.

Vocabulary
Place value
The value a digit has based on its position within a numbere.g. The 4 in 345,206 has a place value of 40,000.
Standard form
A number written using digits only with commas every three placese.g. 345,206 is written in standard form.
Word form
A number written out using words instead of digitse.g. The word form of 206 is two hundred six.
Expanded form
A number written as the sum of the values of each non-zero digite.g. Expanded form: 345 = 300 + 40 + 5.
Million
A number equal to 1,000,000 — one thousand thousandse.g. A city of one million people is huge.
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Guided Practice

Pick a word from the Trace menu and look carefully — after 3 seconds the ghost letters fade and you write the word from memory. Tap 🔁 Show again to bring the model back, or 🔍 Bigger for a fullscreen practice canvas.

Tracing Pad

Tip: Say each number aloud as you write it.

Now type any 3 different words from the Trace menu above. Look back if you need to — this is typing practice, not a memory test.
1.
2.
3.
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Exercises

Fill in each blank with the correct standard, word, or expanded form.

1
600,000 + 40,000 + 7,000 + 500 + 80 + 3 in standard form: .
2
920,045 in expanded form: 900,000 + 20,000 + + 5.
3
"two hundred thirty thousand, four hundred" in standard form: .
4
1,000,000 in word form: .
5
500,000 + 8,000 + 70 in standard form: .
6
763,002 in expanded form: 700,000 + 60,000 + 3,000 + .

Read each question and tap the correct answer(s).

Tap all numbers that have a 4 in the ten-thousands place.

Tap all numbers written in correct standard form with commas.

Pick the best answer for each question.

1. Which is the standard form of "four hundred sixty-two thousand, thirty"?

2. What is the value of the digit 5 in 750,284?

3. Which expanded form matches 830,007?

4. 200,000 + 60,000 + 4,000 + 900 + 5 in standard form is:

5. How many digits does a 6-digit number always have?

6. In 1,000,000, how many zeros follow the 1?

7. What is 999,999 + 1?

8. Which word form matches 405,060?

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Parent Checklist

For the parent: after correcting together, check off what your child has really understood

Lesson 2: Compare and order large numbers →
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