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🔢 Place Value

Grade 3 · Numbers to 1,000 · Cambridge Primary Stage 3

Hundreds, Tens, Ones

How each digit in a 3-digit number has its own value

Place Value

What each digit is worth in a 3-digit number

Partitioning

Breaking numbers apart: 347 = 300 + 40 + 7

Ordering & Comparing

Using < > = to compare numbers

Counting in 10s & 100s

Skip-counting on a number line to 1,000

Rounding to 10

Finding the nearest multiple of 10

1. Hundreds, Tens and Ones

Every digit in a 3-digit number has a place value. The position of the digit tells you how much it is worth.

HundredsTensOnes
347
The number 347 means:
3 × 100 = 300 (three hundreds)
4 × 10 = 40 (four tens)
7 × 1 = 7 (seven ones)
🍰 Think of a bakery: hundreds are big trays of 100 cupcakes, tens are small trays of 10, and ones are single cupcakes!

2. Place Value in 3-Digit Numbers

To find the value of a digit, look at its column.

Value of digit = digit × its column value
In 583:
The digit 5 is in the hundreds column → value = 500
The digit 8 is in the tens column → value = 80
The digit 3 is in the ones column → value = 3
🍬 The digit 0 means that column is empty — like an empty sweet jar! e.g. in 304, the tens column has value 0.

3. Partitioning

Partitioning means splitting a number into its hundreds, tens and ones.

347 = 300 + 40 + 7
More examples:
528 = 500 + 20 + 8
691 = 600 + 90 + 1
207 = 200 + 0 + 7 = 200 + 7
450 = 400 + 50 + 0 = 400 + 50
🍩 Watch out for zeros! 207 has 0 tens — that place is empty, like a donut hole!

4. Ordering and Comparing

To compare two 3-digit numbers, start at the hundreds digit and work right.

< less than  |  > greater than  |  = equal to
Compare 473 and 437:
Hundreds: 4 = 4 (same — keep looking)
Tens: 7 vs 3 → 7 > 3
So 473 > 437
🌈 Start from the left! The first column where the digits differ decides which number is bigger.

5. Counting in 10s and 100s

You can count forwards or backwards in steps of 10 or 100.

Counting in 10s from 350:
350 → 360 → 370 → 380 → 390 → 400

Counting in 100s from 200:
200 → 300 → 400 → 500 → 600
🍭 When counting in 10s, only the tens digit changes. When counting in 100s, only the hundreds digit changes!

6. Rounding to the Nearest 10

Rounding makes numbers easier to work with. Look at the ones digit.

Ones 0–4 → round DOWN  |  Ones 5–9 → round UP
Round 467 to the nearest 10:
Ones digit = 7. Since 7 ≥ 5 → round up. 467 ≈ 470

Round 382 to the nearest 10:
Ones digit = 2. Since 2 < 5 → round down. 382 ≈ 380
🎂 5 or more — the tens go up! Less than 5 — the tens stay the same!

Example 1 — Value of a Digit

In 347, what is the value of the digit 4?

Position: 4 is in the tens column.
Value: 4 × 10 = 40

Example 2 — Write the Number

3 hundreds + 7 tens + 4 ones = ?

Hundreds digit = 3, Tens digit = 7, Ones digit = 4
Answer: 374

Example 3 — Count on in 10s

360, 370, 380, 390, ? What comes next?

Each step adds 10. After 390, the tens column goes from 9 to 10.
That carries over to hundreds: 300 + 100 = 400. Answer: 400

Example 4 — Count on in 100s

350, 450, ? What comes next?

Each step adds 100. After 450, the hundreds go from 4 to 5.
Answer: 550

Example 5 — Round to the Nearest 10

Round 645 to the nearest 10.

Ones digit = 5. Since 5 ≥ 5, we round up.
40 in tens column → rounds up to 50. Answer: 650

🧮 Interactive Abacus

Click + Add to add counters to each column. Click a counter to remove it. Watch your number build up!

0
0
0
Number: 0

📏 Number Line to 1,000

Exercise 1 — Digit Values

1. In 743, what is the value of the bold digit? (hint: it's in the tens column)

2. In 348, what is the value of the bold digit?

3. In 458, what is the value of the bold digit?

4. In 532, what is the value of the bold digit?

5. In 261, what is the value of the bold digit?

6. In 413, what is the value of the bold digit?

7. In 245, what is the value of the bold digit?

8. In 692, what is the value of the bold digit?

9. In 407, what is the value of the bold digit?

10. In 817, what is the value of the bold digit?

Exercise 2 — Write the Number from H, T, O

1. 3 hundreds + 7 tens + 4 ones = ?

2. 5 hundreds + 2 tens + 8 ones = ?

3. 6 hundreds + 9 tens + 1 one = ?

4. 8 hundreds + 4 tens + 3 ones = ?

5. 2 hundreds + 0 tens + 7 ones = ?

6. 4 hundreds + 5 tens + 0 ones = ?

7. 3 hundreds + 1 ten + 6 ones = ?

8. 9 hundreds + 8 tens + 2 ones = ?

9. 1 hundred + 0 tens + 5 ones = ?

10. 7 hundreds + 6 tens + 0 ones = ?

Exercise 3 — Count on in 10s (what comes next?)

1. 350, 360, 370, ?

2. 360, 370, 380, ?

3. 370, 380, 390, ?

4. 380, 390, 400, ?

5. 390, 400, 410, ?

6. 220, 230, 240, ?

7. 230, 240, 250, ?

8. 240, 250, 260, ?

9. 250, 260, 270, ?

10. 260, 270, 280, ?

Exercise 4 — Count on in 100s (what comes next?)

1. 400, 500, ?

2. 500, 600, ?

3. 600, 700, ?

4. 700, 800, ?

5. 800, 900, ?

6. 150, 250, ?

7. 250, 350, ?

8. 350, 450, ?

9. 450, 550, ?

10. 550, 650, ?

Exercise 5 — Round to the Nearest 10

1. Round 467 to the nearest 10.

2. Round 382 to the nearest 10.

3. Round 645 to the nearest 10.

4. Round 213 to the nearest 10.

5. Round 786 to the nearest 10.

6. Round 541 to the nearest 10.

7. Round 318 to the nearest 10.

8. Round 862 to the nearest 10.

9. Round 125 to the nearest 10.

10. Round 505 to the nearest 10.

🏋️ Practice — 20 Questions

1. In 743, value of the bold digit?

2. In 348, value of the bold digit?

3. In 458, value of the bold digit?

4. In 532, value of the bold digit?

5. In 261, value of the bold digit?

6. In 413, value of the bold digit?

7. 3 hundreds + 7 tens + 4 ones = ?

8. 5 hundreds + 2 tens + 8 ones = ?

9. 350, 360, 370, ?

10. 400, 500, ?

11. Round 467 to the nearest 10.

12. Round 382 to the nearest 10.

13. Round 645 to the nearest 10.

14. Round 213 to the nearest 10.

15. 8 hundreds + 4 tens + 3 ones = ?

16. 2 hundreds + 0 tens + 7 ones = ?

17. 600, 700, ?

18. Round 541 to the nearest 10.

19. 8 hundreds + 4 tens + 3 ones = ?

20. 2 hundreds + 0 tens + 7 ones = ?

🏆 Challenge — 8 Questions

1. What is 600 + 40 + 2?

2. What is 300 + 50 + 7?

3. What is 800 + 3?

4. What is 700 + 20 + 6?

5. 900 + 100 = ?

6. The largest 3-digit number is?

7. What is halfway between 490 and 500?

8. What is 10 more than 293?