Place Value
Why are commas used?
What is to separate large numbers into groups of three digits, making them easier to read by indicating place value
Write 9,530 in expanded form
9,000+500+30
Compare
4,560 __ 4,650
4,560 < 4,650
Write this number in word form:
3,206
three thousand two hundred six
The school library has 10,600 books. The town library has 10 times as many books.
How many books does the town library have?
The town library has 106,000 books.
What happens when you multiply a number by 10?
What is shifting to the next place value?
Match the Number to Expanded Form
A. 43,500
B. 17,204
C. 89,010
40,000 + 3,500
80,000 + 9,000 + 10
10,000 + 7,000 + 200 + 4
Compare
72,415 __ 72,451
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Write this number in word form:
45,019
forty-five thousand, nineteen
There are 5,032 elephants in the wildlife reserve. Maria read the number as “five thousand, thirty-two.” Jamal read the number as “fifty-three hundred two.”
Who read the number correctly? Explain using words, numbers, or pictures.
Number: 5,032
Maria: “five thousand, thirty-two” ✅ Correct
Jamal: “fifty-three hundred two” ❌ Incorrect
Explanation:
5,032 = 5 × 1,000 + 0 × 100 + 3 × 10 + 2 × 1 → five thousand, thirty-two
Jamal’s “fifty-three hundred two” would equal 5,302, which is not the same.
How many thousands are 4,020?
What is 4
60,000 + 500 + 20 + 1 = ______
60,521
Write a comparison statement for 56,342 > 52,124
56,343 is greater than 52,124
Word to Standard Form
sixty-seven thousand, five hundred thirty-two
67,532
The town library has 12,405 books. Sofia says, “twelve thousand, four hundred five.” Leo says, “one hundred twenty-four hundred five.”
Who read the number correctly? Show your answer using numbers or words.
Number: 12,405
Sofia: “twelve thousand, four hundred five” ✅ Correct
Leo: “one hundred twenty-four hundred five” ❌ Incorrect
Explanation:
12,405 = 12 × 1,000 + 4 × 100 + 0 × 10 + 5 × 1 → twelve thousand, four hundred five
Leo’s reading implies 124 × 100 + 5 = 12,405? Actually, some students think “hundred” multiplies incorrectly — standard form shows Sofia is correct.
What is ones, tens, hundreds, thousands, ten thousands, hundred thousands, and millions?
A number is 400,000 + 30,000 + something in the hundreds place.
If the digit in the hundreds place is 7, what is the number?
What is 430,700
Compare
501,030 __ 500,300
Justify Resoning
501,030 is greater because the thousands digit is 1 and that is more than 0 in the thousands place.
Word to Standard Form
two hundred five thousand, seventy-four
205,074
Astronomers counted 6,700 stars in a small cluster. Mia says, “six thousand, seven hundred.” Amir says, “sixty-seven hundred.”
Who read the number correctly? Explain your answer.
Number: 6,700
Mia: “six thousand, seven hundred” ✅ Correct
Amir: “sixty-seven hundred” ✅ Also correct in informal terms
Explanation:
6,700 = 6 × 1,000 + 7 × 100 → six thousand, seven hundred
“Sixty-seven hundred” is mathematically 67 × 100 = 6,700, so both readings represent the same number.
Teacher may note Mia’s version is more formal and standard.
Write commas where appropriate for 608430325
What is 608,430,325
20,000 + 300 + 5 = ______
20,305
Compare
300,704 __ 299,999
Answer: 300,704 > 299,999
Convert to Word Form
804,052
Bonus:How many in the thousands place
804,052 → eight hundred four thousand, fifty-two
Thousands place: 4
A district has 8,504 students. Aaron reads it as “eight thousand, five hundred four.” Naomi reads it as “eighty-five hundred four.”
Who read the number correctly? Show your reasoning.
Number: 8,504
Aaron: “eight thousand, five hundred four” ✅ Correct
Naomi: “eighty-five hundred four” ❌ Incorrect
Explanation:
8,504 = 8 × 1,000 + 5 × 100 + 0 × 10 + 4 × 1 → eight thousand, five hundred four
“Eighty-five hundred four” would mean 8,504? Actually, eighty-five hundred = 8,500, plus four = 8,504 → again informally okay, but standard word form prefers Aaron’s wording.