LightMySky

Numbers to 10,000

Identify, represent, and estimate numbers up to 10,000 using different representations

No account needed. Progress saves in this browser.

What a learner can do afterwards

  • Represent a four-digit number on a place-value chart or with base-ten materials
  • Estimate where a number falls on a 0–10,000 number line
  • Match different representations of the same number (e.g. expanded form, place-value counters, numeral)

1 · Read

Four-digit numbers run from 1,000 to 9,999. Each digit has its own place: thousands, hundreds, tens, and ones. The digit in the thousands place tells you which group of a thousand the number belongs to. 10,000 has five digits.

Try it together

Look at 3,452. The 3 is in the thousands place, so this number is in the 3,000s. In expanded form, that's 3,000 + 400 + 50 + 2.

3452
06000800010000
3,452 sits between the 3,000 and 4,000 marks, close to the 3,000 side since 452 is a small part of the next thousand.

To place a number on a 0 to 10,000 line, look at the thousands digit first. It tells you which thousand-sized space to land in. Then use the rest of the digits to nudge closer to one end or the other.

The thousands digit shows which group of 1,000 a number belongs to, and the other digits fine-tune exactly where it falls.

2 · Watch

3 · Play

step 1 of 6

Three digits, three jobs is old news for you: hundreds, tens, ones. Look at 3,452. A fourth spot has opened up in front of them.

The 3 stands in that new front spot. How much is it worth?

3452

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

17 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Spotted a problem on this page? Tell us
Numbers to 10,000 · Mathematics, ages 8 to 9 · LightMySky