3A · Chapter 1 · Lesson 01
Numbers to 10,000
Read and write whole numbers from 0 through 10,000., Group objects in thousands, hundreds, tens, and ones., Distinguish the number of groups from the number of objects.
Your starting challenge
A warehouse has 10 boxes of 100 pencils. Is that 100 pencils, 1,000 pencils, or 10,000 pencils? Explain before counting.
By the end, you can…
- Read and write whole numbers from 0 through 10,000.
- Group objects in thousands, hundreds, tens, and ones.
- Distinguish the number of groups from the number of objects.
Before starting, you should know…
- Count and group in tens and hundreds.
- Read three-digit numbers.
Entry · 2 questions
Quick prerequisite check
Try these two before the lesson. If either is confusing, review the listed prerequisites first.
- E1 How many ones are in 3 tens?
Show answer and reasoning
Answer: 30
Three groups of ten contain 3 × 10 = 30 ones.
- E2 How many hundreds make 1,000?
Show answer and reasoning
Answer: 10
One thousand is 10 × 100.
Vocabulary to know
| thousand | A group of ten hundreds, or 1,000 ones. |
|---|---|
| digit | A symbol 0–9 used to write numbers. |
| standard form | A number written with digits, such as 4,206. |
| number name | A number written in words, such as four thousand two hundred six. |
Learn the concept
Build larger groups
Ten ones can be traded for one ten; ten tens become a hundred; ten hundreds become a thousand. Draw or build each exchange, then connect it to its written number. When counting a large set, making groups avoids counting every object individually.
Read thousands, then the rest
The number 4,206 means four thousands, two hundreds, zero tens, and six ones. Say “four thousand two hundred six.” The zero shows that no tens are present, but it still holds a place in the numeral.
The boundary at ten thousand
After 9,999, adding one more results in 10,000. Ten thousand is one group of ten thousands—not “one thousand.”
Work through examples
Study the explanation; then try each check before opening its answer.
Worked example 1
Exchange hundreds for thousands
A bundle contains 10 groups of 100 counters. How many counters are there?
- Each group contains 100 counters.
- Ten groups make 10 × 100 = 1,000 counters.
- Trade the 10 hundreds for 1 thousand.
Result: 1,000 counters
Now you try · Understanding check 1
How many hundreds equal 3,000?Reveal answer and explanation
30 hundreds — 3,000 ÷ 100 = 30.
Worked example 2
Read a numeral with a zero
Read 6,035 aloud.
- 6 thousands = six thousand.
- 0 hundreds contribute no spoken hundreds.
- 3 tens and 5 ones = thirty-five.
Result: six thousand thirty-five
Now you try · Understanding check 2
Write 7,040 in words.Reveal answer and explanation
seven thousand forty — Seven thousands and four tens; no hundreds or ones.
Worked example 3
Write a word name in digits
Write “nine thousand eight hundred two” in standard form.
- Nine thousand gives 9 in the thousands place.
- Eight hundred gives 8 in the hundreds place.
- There are no tens, so write 0; the ones digit is 2.
Result: 9,802
Now you try · Understanding check 3
Write “five thousand nineteen” in digits.Reveal answer and explanation
5,019 — Five thousands, zero hundreds, one ten, and nine ones.
Guided · 4 questions
Guided practice
Try each problem; return to a visual model if you need one.
- G1 Write 3,085 in words.
Show answer and reasoning
Answer: three thousand eighty‑five
Read the thousands group, then the remaining hundreds/tens/ones: three thousand eighty‑five.
- G2 Write “six thousand seven” using digits.
Show answer and reasoning
Answer: 6,007
The words describe 6,000 + 7, which is 6,007.
- G3 Write 9,010 in words.
Show answer and reasoning
Answer: nine thousand ten
Read the thousands group, then the remaining hundreds/tens/ones: nine thousand ten.
- G4 Write “eight thousand two hundred thirty” using digits.
Show answer and reasoning
Answer: 8,230
The words describe 8,000 + 200 + 30, which is 8,230.
Independent · 8 questions
Independent practice
Work without looking at examples first. Show your thinking on paper.
- I1 Write 1,248 in words.
Show answer and reasoning
Answer: one thousand two hundred forty‑eight
Read the thousands group, then the remaining hundreds/tens/ones: one thousand two hundred forty‑eight.
- I2 Write “five thousand thirty‑six” using digits.
Show answer and reasoning
Answer: 5,036
The words describe 5,000 + 30 + 6, which is 5,036.
- I3 Write 8,710 in words.
Show answer and reasoning
Answer: eight thousand seven hundred ten
Read the thousands group, then the remaining hundreds/tens/ones: eight thousand seven hundred ten.
- I4 Write “six thousand nine” using digits.
Show answer and reasoning
Answer: 6,009
The words describe 6,000 + 9, which is 6,009.
- I5 Write 9,999 in words.
Show answer and reasoning
Answer: nine thousand nine hundred ninety‑nine
Read the thousands group, then the remaining hundreds/tens/ones: nine thousand nine hundred ninety‑nine.
- I6 Write “four thousand eleven” using digits.
Show answer and reasoning
Answer: 4,011
The words describe 4,000 + 10 + 1, which is 4,011.
- I7 Write 2,300 in words.
Show answer and reasoning
Answer: two thousand three hundred
Read the thousands group, then the remaining hundreds/tens/ones: two thousand three hundred.
- I8 Write “ten thousand” using digits.
Show answer and reasoning
Answer: 10,000
The words describe 0, which is 10,000.
Challenge · 2 questions
Challenge and transfer
These nonroutine problems require you to explain or adapt what you learned.
- C1 Explain why ten bundles of 1,000 counters cannot be written as 1,000. What number is it?
Show answer and reasoning
Answer: 10,000
Each bundle is 1,000. Ten bundles are 10 × 1,000 = 10,000.
- C2 A display says “seven thousand seventy.” How many zeros appear when you write it with digits?
Show answer and reasoning
Answer: 2 zeros
7,070 contains two zero digits, in the hundreds and ones places.
Exit · 3 questions
Exit check
Use these fresh problems to decide whether to proceed. Answers should be independent.
- E1 Write “seven thousand forty‑two” using digits.
Show answer and reasoning
Answer: 7,042
The words describe 7,000 + 40 + 2, which is 7,042.
- E2 Write 9,501 in words.
Show answer and reasoning
Answer: nine thousand five hundred one
Read the thousands group, then the remaining hundreds/tens/ones: nine thousand five hundred one.
- E3 How many groups of 100 are in 1,000?
Show answer and reasoning
Answer: 10
Ten hundreds make one thousand.