Place Value to 1,000
Grade 3 · Math · Study Guide
Understand how digits in hundreds, tens, and ones places build numbers up to 1,000.
Every digit in a number has a special job depending on where it sits. That's place value! In the number 347, the 3 is in the hundreds place (worth 300), the 4 is in the tens place (worth 40), and the 7 is in the ones place (worth 7). Put it all together: 300 + 40 + 7 = 347.
Expanded form lets you break a number apart to see each digit's value. So 582 in expanded form is 500 + 80 + 2. It's like unpacking a suitcase to see what's inside!
Word form is just writing the number using words: 347 is 'three hundred forty-seven.' Standard form is the regular way we write it with digits: 347.
Understanding place value helps with everything from comparing large numbers to adding and subtracting. When you know that 600 > 400 just by looking at the hundreds digit, you're using place value power!
| Number | Hundreds | Tens | Ones | Expanded Form |
|---|---|---|---|---|
| 347 | 3 (300) | 4 (40) | 7 (7) | 300 + 40 + 7 |
| 805 | 8 (800) | 0 (0) | 5 (5) | 800 + 0 + 5 |
| 120 | 1 (100) | 2 (20) | 0 (0) | 100 + 20 + 0 |
| 999 | 9 (900) | 9 (90) | 9 (9) | 900 + 90 + 9 |
Key terms
- Ones place
- The rightmost digit — represents single units (1–9).
- Tens place
- The middle digit — each 1 here equals 10 ones.
- Hundreds place
- The leftmost digit in a 3-digit number — each 1 here equals 10 tens or 100 ones.
- Expanded form
- Writing a number as a sum of each digit's value. Ex: 462 = 400 + 60 + 2.
- Standard form
- The normal way to write a number using digits. Ex: 462.
- Word form
- Writing a number using words. Ex: four hundred sixty-two.
Flashcards
- Hundreds place
- Third digit from the right — value is digit × 100.
- Tens place
- Second digit from the right — value is digit × 10.
- Ones place
- First digit from the right — value is digit × 1.
- Expanded form of 528
- 500 + 20 + 8
- Standard form of 400 + 70 + 3
- 473
- Value of 7 in 752
- 700 (hundreds place)
Practice questions
What is the value of the digit 6 in the number 463?
- 6
- 60
- 600
- 6,000
Show answer
Answer: 60
In 463, the 6 is in the tens place. Tens place value = 6 × 10 = 60.
Write 700 + 30 + 5 in standard form: ___
Show answer
Answer: 735
700 + 30 + 5 = 735 in standard form.
In the number 908, the digit 0 is in the tens place.
Show answer
Answer: True
908: 9 is in hundreds, 0 is in tens, 8 is in ones. Yes, 0 is in the tens place.
Which number has a 4 in the hundreds place?
- 314
- 341
- 743
- 431
Show answer
Answer: 431
431: 4 is in the hundreds place (value 400).
What is 500 + 0 + 9 in standard form?
- 59
- 509
- 590
- 5,009
Show answer
Answer: 509
500 + 0 + 9 = 509. The 0 holds the tens place.
Fun facts
- The number 1,000 takes exactly 4 digits because we need a thousands place — our place value system can keep going forever!
- The ancient Babylonians had a place value system over 4,000 years ago, but they used base-60 instead of base-10. That's why an hour has 60 minutes!
Get a personalized course on Place Value to 1,000 built around your child.