🔢 Maths

Place Value to 10,000

Ages 9–11

You will learn

Know what each digit in a 4-digit number is worth, compare 4-digit numbers, and round to the nearest thousand.

Before you start

Tens and ones, and hundreds in 3-digit numbers.

Quick answer

In a 4-digit number, the digits stand for thousands, hundreds, tens and ones. In 3,482 the 3 is worth 3,000, the 4 is worth 400, the 8 is worth 80 and the 2 is worth 2.

Let’s learn

In a 4-digit number, each place has a different value.

Thousands Hundreds Tens Ones
3 4 8 2

3,482 = 3,000 + 400 + 80 + 2

Zero holds a place

In 5,062 there are no hundreds, so we write a 0 in the hundreds place. Without it, the number would be 562, which is much smaller!

Comparing numbers

Start with the biggest place (thousands) and move right until the digits are different.

  • 6,345 or 6,354? Thousands: same. Hundreds: same. Tens: 4 and 5. So 6,354 is bigger.

Rounding to the nearest thousand

Look at the hundreds digit.

  • 0, 1, 2, 3 or 4 → round down: 2,300 → 2,000
  • 5, 6, 7, 8 or 9 → round up: 2,700 → 3,000

Check what you know

Choose an answer, then press Check. You can try again if you need to.

  1. 1 In 3,482, what is the 4 worth?
  2. 2 In 7,215, what is the 7 worth?
  3. 3 Which number has 5 thousands, 0 hundreds, 6 tens and 2 ones?
  4. 4 Which number is the biggest?
  5. 5 What is 1,000 more than 2,350?
  6. 6 Round 4,670 to the nearest thousand.

Try this next

Write the digits 3, 8, 1 and 6 on four pieces of paper. What is the biggest 4-digit number you can make? What is the smallest?