🔢 MathGrade 5Lesson 1
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Place Value to Millions

  1. 1Print it first. Read it once together and talk it through.
  2. 2Exercises on paper, then correct together with the answer key.
  3. 3Next day: a 10-minute review here on screen saves progress.

What you will learn

  • 1Read and write 7-digit numbers up to 9,999,999 in standard form
  • 2Write 7-digit numbers in word form using the millions and thousands groups
  • 3Write 7-digit numbers in expanded form by adding the value of each digit
  • 4Identify the value of a specified digit anywhere through the millions place
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Mini Lesson

Numbers up to ten million show up in populations, distances in space, and big data sets. Every whole 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 Through Millions

  • 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.
  • Group digits in threes from the right and separate each group with a comma: 4,827,653.
  • Each three-digit group is called a period: ones period, thousands period, and millions period.

Standard Form

  • Write the digits in order from greatest place to least.
  • Insert a comma after every third digit from the right: 4,827,653.
  • Example: four million, eighty thousand, two hundred fifty becomes 4,080,250.

Word Form

  • Name the millions period, then the thousands period, then the rest.
  • Use the word "million" after the millions group and "thousand" after the thousands group.
  • A zero in any place is not spoken: 4,080,250 is "four million, eighty thousand, two hundred fifty".

Expanded Form

  • Break the number into the value of each non-zero digit and add them.
  • 4,827,653 becomes 4,000,000 + 800,000 + 20,000 + 7,000 + 600 + 50 + 3.
  • Skip any place whose digit is zero — no zero addends.

Words to know

place value

The value a digit has because of its position in a number.

standard form

A number written using only digits and commas, like 4,827,653.

word form

A number written out in words, like four million, eight hundred twenty-seven thousand, six hundred fifty-three.

expanded form

A number written as the sum of the value of each digit, like 4,000,000 + 800,000 + 20,000.

period

A group of three digits separated by a comma — millions, thousands, and ones.

Place-Value Chart to MillionsPlace-Value Chart to MillionsMillionsH-ThouT-ThouThous.HundredsTensOnes48276534,827,653four million, eight hundred twenty-seventhousand, six hundred fifty-threeEach place is 10 times greater than the placeto its right.
Three ways to write 4,827,653Three Ways to Write 4,827,653Standard Form4,827,653Word Formfour million, eight hundredtwenty-seven thousand, sixhundred fifty-threeExpanded Form4,000,000 + 800,000 + 20,000+ 7,000 + 600 + 50 + 3Read the millions, then thousands, then the rest.Skip any place whose digit is zero in expanded form.
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Tip: group digits in threes from the right, then insert commas. Read each period (millions, thousands, ones) like its own three-digit number.

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Guided Practice

Write 2-3 sentences explaining what you have learned. Use at least 3 of the vocabulary words below.
millionthousandperiod
📝 Words: 0 / 20🔤 Vocabulary used: 0 / 3
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Exercises

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

1
4,000,000 + 800,000 + 20,000 + 7,000 + 600 + 50 + 3 in standard form: .
2
"Six million, three hundred forty thousand, twenty-one" in standard form: .
3
5,062,400 in expanded form: 5,000,000 + + 2,000 + 400.
4
9,000,000 in word form: .
5
7,000,000 + 200,000 + 30,000 + 8 in standard form: .
6
3,508,072 in expanded form: 3,000,000 + 500,000 + 8,000 + + 2.
7
"Two million, fifteen thousand, four hundred" in standard form: .

Read each question and tap the value of the named digit.

In 4,728,153 — tap the value of the digit 7.

In 6,340,021 — tap the value of the digit 6.

In 9,805,217 — tap the value of the digit 8.

In 1,072,540 — tap the value of the digit 7.

In 5,432,109 — tap the value of the digit 4.

In 8,219,635 — tap the value of the digit 2.

Pick the best answer for each question.

1. Which is the standard form of "three million, forty thousand, six hundred"?

2. What is the value of the digit 6 in 7,650,219?

3. Which expanded form matches 5,008,030?

4. 2,000,000 + 400,000 + 60,000 + 9 in standard form is:

5. What is the smallest 7-digit number?

6. In 4,827,653, which digit is in the ten-thousands place?

7. What is 9,999,999 + 1?

8. Which word form matches 6,070,005?

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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 Whole Numbers →
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