Place Value × 10 Pattern
Recognise that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g. 700 ÷ 70 = 10)
Lesson
Set out your lesson
Compare a nonzero digit in adjacent whole-number places. Explain why its value changes by a factor of ten.
Use the readiness card before Show. Check place names and values. Pause for prerequisite teaching when these are unclear.
Before teaching
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Use the column names below. Write or say both answers. | Ten thousands | Thousands | Hundreds | Tens | Ones | | --- | --- | --- | --- | --- | | ____ | ____ | ____ | ____ | ____ | R1. In 2,047, what value does the digit 4 represent? R2. Write 38 as tens and ones.
R1. Value of 4:
R2. Tens: ____; ones:
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Compare a nonzero digit in adjacent whole-number places. Explain why its value changes by a factor of ten.
Compare a nonzero digit in adjacent whole-number places. Explain why its value changes by a factor of ten.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Kipton's Scale
Before you open · source notes
A scale story supports noticing ×10 place-value patterns. Not every long-division step.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to say what happens to a digit’s value when the number is multiplied by 10.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Kipton's Scale.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Explain that the 3 in 3,000 is ten times the 3 in 300
- Complete: 700 ÷ 70 = __ and explain using place-value reasoning
- State how many times greater the value of the 5 in 50,000 is than the 5 in 5,000
“Can your child explain that in 700, the 7 is worth 10 times more than in 70 — because moving one place to the left multiplies the value by 10?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 9–10
Standards