Place Value × 10 and ÷ 10
Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the place to its left
Lesson
Set out your lesson
Explain how a digit’s value changes between neighbouring places and across several places.
Before teaching
Use this short check, then start teaching.
Learner readiness not observed. Ask for the values of the digit 3 in 30 and 3. If the values are not distinguished from the digit name, revisit the ×10 relationship first.
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Explain how a digit’s value changes between neighbouring places and across several places.
Explain how a digit’s value changes between neighbouring places and across several places.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Party Favors
Before you open · source notes
Party Favors supports place-value grouping that prepares ×10 and ÷10 thinking. Not every fraction multiplication rule.
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 how a group of ten changes the value of a digit.
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. “Party Favors.” 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 4 in 0.04 is 1/10 of the 4 in 0.4
- State that a digit moving one place left is ×10 and one place right is ÷10
- Compare the value of the 6 in 6,000 and in 0.006
“Can your child explain that in 4.56, the digit 5 is worth 5 tenths — ten times less than the 5 in 54, and ten times more than the 5 in 0.056?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 10–11
Standards