Place Value and Value of Digits to 100 000
If learners answer “4”, write both 4 and 400 on the board and leave them there. Say: “Hold that thought — that is our question for today.” You will come back to it at 0:35.
residents
The NAME of the position.
ones · tens · hundreds · thousands · ten thousands
HOW MUCH the digit is worth.
5 · 70 · 200 · 7 000 · 40 000
| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|
| 4 | 7 | 2 | 0 | 5 |
| 40 000 | 7 000 | 200 | 0 | 5 |
“Forty-seven thousand, two hundred five.”
Each place to the left is ten times the place to its right.
Take the zero away…
47 205 collapsed to 4 725. The zero is a placeholder — it is holding a seat so every other digit stays where it belongs.
Step 1 — count the columns from the RIGHT: ones, tens, hundreds.
The 8 is in the hundreds place.
→ That is its place value.
Step 2 — how much is it worth?
Eight hundreds is 800.
→ That is its value.
tens
10 — not 1
| Digit | Place value | Value |
|---|---|---|
| 9 | ten thousands | 90 000 |
| 5 | thousands | 5 000 |
| 0 | hundreds | 0 |
| 7 | tens | 70 |
| 3 | ones | 3 |
The thousands place.
Open Place Value Builder and play Round 1 and Round 2.
In pairs: one operates, one explains the reasoning out loud — then swap.
| Number | Digit |
|---|---|
| 28 461 | 8 |
| 70 359 | 7 |
| 14 902 | 9 |
| 55 555 | middle 5 |
| 63 807 | 0 |
Give the place value AND the value for each.
Five identical digits — five different values.
The value of a digit is the digit multiplied by the value of its place. The same digit can be worth different amounts depending on where it stands.
Quarter sheet of paper. Write your name at the top.