Thousandths and their decimal equivalents
Recognise and use thousandths; relate them to tenths, hundredths, and their decimal equivalents (e.g. 1/1000 = 0.001, 35/1000 = 0.035)
Lesson
Set out your lesson
“Thousandths and their decimal equivalents means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Place-value grid (ones / tenths)
- Pencil
Extra for the adult
Worked example. Three tenths on the grid is 0.3.
Optional challenge. For Thousandths and their decimal equivalents, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Thousandths and their decimal equivalents, not mastery.
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Teaching approaches
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1 approach
Thousandths and their decimal equivalents means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Place-value grid (ones / tenths); Pencil. Adult shows 0.3 as three tenths on the grid. Child builds three decimal amounts on the grid and reads them aloud. Done: three correct decimal readings. Stop after the fresh check; keep optional challenge for another day.
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Practice this concept
Start practiceThousandths and their decimal equivalents practice
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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
Millions and Billions of People
Before you open · source notes
Millions and Billions of People supports place-value thinking that extends toward thousandths equivalents. Not every fraction-of-a-set game.
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 what a digit is worth in a large decimal-related place-value number.
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. “Millions and Billions of People.” 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
- Write 0.025 as 25/1000
- Explain that 1 tenth = 100 thousandths
- Place 0.345 on a number line between 0.34 and 0.35
“If your child sees the decimal 0.003, can they write it as a fraction and tell you roughly where it sits on a number line between 0 and 0.01?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 9–13
Standards