Numbers to 10,000
Identify, represent, and estimate numbers up to 10,000 using different representations
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)
The lesson
Numbers up to 10,000 have four digits. 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.
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.
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.
Watch it
Where it sits
This opens up
Where this leads
Jobs that lean on this skill. Follow one to see everything it is built on.
8 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.