Warm Up:
Select all the ways to rename the number 2,340.
a. 234 tens
b. 2,340 ones
c. 234 thousands
d. 2 hundreds and 34 ones
e. 2 thousands and 34 tens
f. 2 thousands and 34 ones
g. 2 thousands and 34 hundreds
Learning Target: Read and write numbers to one million in standard form, expanded form, and
word form. If you understand place value, you can read, write, rename, and expand any number.
What Place Value Really Means
“Every digit in a number has two jobs:
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It tells how many
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It tells of what value”
Digit × Place Value = Value
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The same digit can mean very different things depending on where it is.
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A 4 in the thousands place is 4,000, not just “4.”
“When we read or write numbers, we are really reading their place value story.”
Renaming Numbers Using Place Value
Concept Explanation:
“Renaming a number means showing the same value in a different way.
The total amount never changes — only how we describe it.”
Model with a number
4,860
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This number is made of thousands, hundreds, tens, and ones
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But we can regroup those places
“Each of these names describes the same number because the total value stays equal.”
Key Concept:
✔ Renaming works only when the value is preserved
❌ Changing the place value changes the number
Expanded Form
Expanded form shows the value of each digit added together.
Let's take a look at how to model with a new number:
68,205
Step-by-step:
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6 → 60,000
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8 → 8,000
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2 → 200
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0 → 0 tens (skip it)
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5 → 5
Expanded form:
60,000 + 8,000 + 200 + 5
Standard Form vs. Word Form
Standard Form
The regular number:
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68,205
Word Form Rules
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No “and”
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Use commas correctly
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Read by place value periods (thousands, ones)
Example:
68,205 → sixty-eight thousand, two hundred five
Another quick example:
403,019
→ four hundred three thousand, nineteen
Guided Practice
Let's do one quick problem together :
“Write ninety-four thousand six hundred twelve in:
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Standard: 94,612
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Expanded: 90,000 + 4,000 + 600 + 10 + 2
“Which digit is in the tens place?”
Your Turn
+ 800 + 40 + 1.
A. 315,841
B. 31,841
C. (3 X 100,000) + (1 X 10,000) + (5 X 1,000) + (8 X 100) + (4 X 10) + (1 X 1)
D. three hundred fifteen thousand, eight hundred forty-one
E. three hundred fifteen, eight hundred forty-one
2. Part A: Kim wrote 39,391 in expanded form. Which
number is NOT one of the numbers that Kim wrote?
A. 30,000
B. 900
C. 9,000
D. 1
Part B: Choose the correct number name for 39,391.
A. thirty thousand, three hundred
B. three thousand, three hundred ninety-one
C. thirty-nine thousand, three hundred ninety-one
D. thirty-nine thousand, three hundred nineteen
3. Which shows 31,498 in expanded form?
A. 3 + 1 + 4 + 9 + 8
B. 3,000 + 100 + 40 + 9 + 8
C. 30,000 + 1,000 + 400 + 90 + 8
D. 30,000 + 10,000 + 400 + 90 + 8
4. Choose the correct standard form of 700,000 +
50,000 + 900 + 4.
A. 75,940
B. 750, 094
C. 750,904
D. 759,004
5. Write each number in standard form and in expanded form.
A. Eight hundred two thousand five hundred fifty________________
B. Twenty thousand three____________________________________
C. One thousand four hundred fifty-six________________________________________
D. Seven hundred nineteen thousand two hundred forty- eight _________________________
E. Three thousand eighty-one____________________________________
6. Maggie has three hundred twenty-six baseball cards.
Write the number in expanded form. ____ + _____ + ______
Write the number in standard form. ________
7. Write each number in word form.
A. 458,072 ____________________________________________
B. 20,609 ____________________________________________
C. 1,345 ____________________________________________
D. 719,208 ____________________________________________
E. 3,081 ____________________________________________
1. Select all that are equivalent to
300,000 + 10,000 + 5,000 + 800 + 40 + 1
First, combine the expanded form:
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300,000 + 10,000 + 5,000 = 315,000
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315,000 + 800 + 40 + 1 = 315,841
Correct Answers:
✅ A. 315,841
✅ C. (3 × 100,000) + (1 × 10,000) + (5 × 1,000) + (8 × 100) + (4 × 10) + (1 × 1)
✅ D. three hundred fifteen thousand, eight hundred forty-one
Incorrect:
❌ B. 31,841
❌ E. three hundred fifteen, eight hundred forty-one (missing “thousand”)
2.
Part A:
Kim wrote 39,391 in expanded form.
Expanded form of 39,391:
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30,000
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9,000
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300
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90
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1
Correct Answer:
✅ B. 900 (this value is NOT part of the expanded form)
Part B:
Correct number name for 39,391
Correct Answer:
✅ C. thirty-nine thousand, three hundred ninety-one
3. Which shows 31,498 in expanded form?
Expanded form of 31,498:
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30,000
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1,000
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400
-
90
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8
Correct Answer:
✅ C. 30,000 + 1,000 + 400 + 90 + 8
4. Choose the correct standard form of
700,000 + 50,000 + 900 + 4
Combine:
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700,000 + 50,000 = 750,000
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900 = 750,900
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-
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4 = 750,904
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Correct Answer:
✅ C. 750,904
5. Write each number in standard form and expanded form
A. Eight hundred two thousand five hundred fifty
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Standard: 802,550
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Expanded: 800,000 + 2,000 + 500 + 50
B. Twenty thousand three
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Standard: 20,003
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Expanded: 20,000 + 3
C. One thousand four hundred fifty-six
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Standard: 1,456
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Expanded: 1,000 + 400 + 50 + 6
D. Seven hundred nineteen thousand two hundred forty-eight
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Standard: 719,248
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Expanded: 700,000 + 19,000 + 200 + 40 + 8
E. Three thousand eighty-one
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Standard: 3,081
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Expanded: 3,000 + 80 + 1
6. Maggie has three hundred twenty-six baseball cards
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Expanded form: 300 + 20 + 6
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Standard form: 326
7. Write each number in word form
A. 458,072
four hundred fifty-eight thousand, seventy-two
B. 20,609
twenty thousand, six hundred nine
C. 1,345
one thousand, three hundred forty-five
D. 719,208
seven hundred nineteen thousand, two hundred eight
E. 3,081
three thousand, eighty-one
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